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Download free e-book on error probability in AWGN

by Krishna Sankar on October 1, 2008

We have quite a few articles discussing bit and symbol error rates for popular digital modulation schemes in Additive White Gaussian Noise (AWGN) channel. This post summarizes the articles discussing the theoretical and simulated error rates for the digital modulation schemes like BPSK, QPSK, 4-PAM, 16PSK and 16QAM. Further, Bit Error Rate with Gray coded mapping, bit error rate for BPSK over OFDM are also discussed.

The links to the individual articles and the Matlab/Octave simulation models are listed below. Alternatively, I have made a e-book discussing all the below mentioned articles to a single PDF file. If you wish, you can download the free e-book by subscribing to the free email newsletter.

Subscribe and download the free e-Book

Note:

Existing subscribers can contact me to access the e-book.

The links to articles discussing and the Matlab/Octave simulation models are listed below.

Bit error probability for BPSK modulation

$P_{s,BPSK}=\frac{1}{2}erfc\left({\sqrt{\frac{E_b}{N_0}}}\right)$ .

Click here for Matlab simulation for bit error rate (BER) curve with BPSK modulation.

Symbol error rate for 4PAM

$P_{s,4PAM}=\frac{3}{4}erfc\left({\sqrt{\frac{E_s}{5N_0}}}\right)$ .

Click here for Matlab simulation for symbol error probability with 4PAM modulation

Symbol error rate for 4-QAM (QPSK)

$\begin{eqnarray}\mathbf{P}_{s,4QAM} = erfc\left({\sqrt{\frac{E_s}{2N_0}}}\right)\end{eqnarray}$

Click here for Matlab simulation for symbol error probability with 4QAM (QPSK) modulation

Symbol error rate for 16-QAM

$P_{s,16QAM}=\frac{3}{2}erfc\left(\sqrt{\frac{E_s}{10N_0}}\right)$

Click here for Matlab simulation of symbol error rate curve with 16QAM modulation

Symbol Error Rate for 16PSK

$P_{s,16PSK}=erfc\left[\sqrt{\frac{E_s}{N_0}}sin(\frac{\pi}{16})\right]$ .

Click here for Matlab simulation for symbol error rate with 16PSK modulation

Note: The formula derived in the post is for a general M-PSK case. For an M-PSK scheme, the symbol error rate is,

$P_{s,MPSK}=erfc\left[\sqrt{\frac{E_s}{N_0}}sin(\frac{\pi}{M})\right]$ .

Subscribe and download the free e-Book

16QAM Bit Error Rate (BER) with Gray mapping

$P_{b,16QAM}=\frac{3}{2k}erfc\left(\sqrt{\frac{kE_b}{10N_o}}\right)$

Click here for Matlab simulation for bit error rate for 16QAM modulation with Gray mapping

BPSK BER with OFDM modulation

Click here for Matlab simulation for BER with OFDM modulation

References

[DIGITAL COMMUNICATION: PROAKIS] Digital Communications by John Proakis

[DIG-COMM-BARRY-LEE-MESSERSCHMITT] Digital Communication: Third Edition, by John R. Barry, Edward A. Lee, David G. Messerschmitt

[COMMUNICATION SYSTEMS: PROAKIS, SALEHI] Fundamentals of Communication Systems, by John G. Proakis, Masoud Salehi

Tagged as: AWGN, PSK, QAM

D id you like this article? Make sure that you do not miss a new article by subscribing to RSS feed OR subscribing to e-mail newsletter. Note: Subscribing via e-mail entitles you to download the free e-Book on BER of BPSK/QPSK/16QAM/16PSK in AWGN.

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{ 289 comments… read them below or add one }

1 jamal October 27, 2008 at 10:50 pm

Hi Krishna,
How do I get a copy of the ebook, since I am already a member ?

2 Krishna Pillai October 29, 2008 at 10:25 am

@jamal: I have sent you the download URL over email.

3 Irma May 20, 2009 at 12:24 pm

Atsiuskite ebook Matlab

4 ShanmukhaPriya November 7, 2009 at 1:47 am

Hello

I need matlab code for generating the diamond curve in figure 1 in the paper ,Xiaodi Zhang and N.C. Beaulieu, “A Closed-Form BER Expression for BPSK Using MRC in Correlated CCI and Rayleigh Fading,” IEEE Trans. Communications, vol. 55, no. 12, pp. 2249-2252, Dec. 2007

5 Krishna Sankar November 8, 2009 at 8:58 am: @ShanmukhaPriya: Sorry, I do not have time to simulate that work. Good luck.

Reply

6 Dule December 6, 2009 at 4:45 pm

I would also like to download this book but I don’t now how to get link. Thanks in advance.

7 Krishna Sankar December 7, 2009 at 5:31 am: @Dule: I emailed you the download instructions

Reply

8 Steven Wu November 6, 2008 at 8:16 pm

Please send me the ebook, thankS!

9 Krishna Pillai November 7, 2008 at 6:44 am

@Steven: I mailed you the download URL. Happy learning.

10 Ramu March 14, 2009 at 10:32 am

please send me the link for free book on AWGN

11 Krishna Pillai March 21, 2009 at 7:55 am

@Ramu: I just send you instructions over email.

12 John Katsaris July 2, 2009 at 5:56 pm

Hi Krishna,
I would really appreciate if you could send me the ebook too.

Thanks,
John.

13 Krishna Pillai July 6, 2009 at 5:13 pm: @John: I just mailed you the download instructions. Plz check.

14 Shreyas November 8, 2008 at 12:31 pm

Hi Krishna,
I would really appreciate if you could send me the ebook.

Thanks,
Shreyas

15 Krishna Pillai November 9, 2008 at 7:29 pm

@Shreyas: I had sent you the download URI over email.

16 Hyde November 17, 2008 at 6:33 pm

would u mind to send me the download URL,, thanks alot..

17 Krishna Pillai November 18, 2008 at 6:07 am

@Hyde: I emailed you the download URI.

18 Fred November 27, 2008 at 1:45 am

Simulate 8-PSK (k = 3, M = using the mapping below:
There is no need to generate individual bits. The input to the detector is r = s + n where all numbers are complex. The input, s, is a complex number with magnitude A and phase
determined by the random input. To generate complex noise, you need two independent
Gaussian random variables. Alternatively, you can model all signals as two-dimensional
vectors. The detector finds the closest signal point to r.
For this simulation, SNRb = (A^2)/6. Simulate the performance the system for SNRb = 7, 8,
9, 10, 11 dB and find the symbol and bit error rates. The printout format is:
System:8-PSK; SNRb=___(dB); #Bits transmitted=___ (i N/10, i = 1,…,10); SER=___; BER=___
Compare your results with the theoretical estimates of symbol and bit error rates. Plot the
theoretical estimates (curves) and the simulated error rates (points) in one figure.

19 Krishna Pillai November 27, 2008 at 6:10 am

@Fred: Is this a question or a statement?

20 DemetriS November 29, 2008 at 2:34 pm

Θα ήθελα πάρα πολύ αυτό το βιβλίο. Ευχαριστώ

21 premalatha December 19, 2008 at 1:45 pm

respected sit,
your site is very useful for me
thank you
premalatha

22 communications engineer December 23, 2008 at 7:28 pm

I am a member and I have still not received the promised pdf. Krishna can you please tell me how can I get it

23 Krishna Pillai December 24, 2008 at 6:17 am: @ communications engineer : Typically, the e-Book is offered for subscribers who have opted in to receive posts over email. Anyhow, since you have already joined Google FriendConnect, I have send you the link over email.

Reply

24 Leo January 8, 2009 at 9:12 am

Hi, could you please send me the copy of the ebook Fundamentals of communication systems by John G. Proakis and Masoud Salehi. I’m studying communication systems and looking for some reference sources. Thanks a lot.

25 Krishna Pillai January 8, 2009 at 5:09 pm: @Leo: Well, I do not think that Fundamentals of Communication Systems may not be available online. I can point you to another book
Signal Processing for Communications – http://www.sp4comm.org/webversion.html. Nice read.
Good luck in your studies

Reply

26 wjlwyk February 14, 2009 at 5:43 pm

3ks

27 A-Imam February 16, 2009 at 5:42 pm

Hi
Would like a copy of e-book onerror prob.

Thanks

28 Krishna Pillai February 21, 2009 at 7:25 am: @A-Imam: I mailed you the download link.

Reply

29 mahesh jaju February 18, 2009 at 12:11 am

hw to download the boks

30 Krishna Pillai February 21, 2009 at 7:32 am: @mahesh: I have mailed you the download link

Reply

31 Arif February 19, 2009 at 6:03 pm

Hi Krishna,
How do I get a copy of the ebook, since I am already a member ?

32 Krishna Pillai February 21, 2009 at 7:36 am: @Arif: I mailed you the link.

Reply

33 navya March 8, 2009 at 3:17 pm

please suggect me about EFFECT OF MULTIPLE ACCESS INTERFERENCE IN W-CDMA UPLINK design project (or)any material

34 Krishna Pillai March 8, 2009 at 7:54 pm: @navya: On a high level, effect of multiple access inteference is equivalent to a MIMO communication (V-BLAST) where each dimension interfers with the other. You may read more about MIMO with Zero Forcing equalizer @
http://www.dsplog.com/2008/10/24/mimo-zero-forcing/

Hope this helps.

Reply

35 saraviqar March 18, 2009 at 8:46 pm

hi
kindly mail me ebook

regards
sara

36 Krishna Pillai March 21, 2009 at 9:15 am: @saraviqar: I just send you over email the download instructions

Reply

37 pulkit March 21, 2009 at 7:23 am

hi
kindly mail me ebook

regards
pulkit

38 Krishna Pillai March 21, 2009 at 4:53 pm: @pulkit: I just send you the download instructions over email

Reply

39 Muhammad Naveed Ahmed March 28, 2009 at 6:28 pm

Krishna plz send the above mentioned book. Thanks

40 Krishna Pillai April 4, 2009 at 8:35 am: @Muhammad : I had mailed you the download instructions. Please check

Reply

41 mansi March 28, 2009 at 10:19 pm

i am already a member pls send me URl i want this book

42 Krishna Pillai April 4, 2009 at 8:36 am: @mansi: I had mailed you the download instructions over email. Please check.

Reply

43 coss March 29, 2009 at 11:44 pm

Please send me the link for the ebook, thanks!

44 Krishna Pillai April 4, 2009 at 8:49 am: @coss: I had mailed you the download instructions. Please check.

Reply

45 Munish March 30, 2009 at 5:42 pm

I too need this e-book. Please send the same

46 Krishna Pillai April 4, 2009 at 4:24 pm: @Munish: I had mailed you the download instructions over email. Please check.

Reply

47 Wig April 5, 2009 at 11:06 am

Please send me the link for the ebook, thanks a lot.

48 Krishna Pillai April 11, 2009 at 6:09 am: @wig: I had mailed you the instructions. Please check

Reply

49 val April 7, 2009 at 3:42 am

Hello,
You are really doing a great job!
pls send me the link to the ebook
thanks alot

50 Krishna Pillai April 11, 2009 at 6:18 am: @val: I send you the download instructions over email. Please check.

Reply

51 Murali Krishna April 11, 2009 at 3:45 am

Hi,

I have subscribed for the e-book, but i haven’t received any. Can you tell me the procedure to download it?

Thanks

52 Krishna Pillai April 11, 2009 at 7:52 am: @Murali: I mailed you the download instructions. Please check.

Reply

53 Danial April 15, 2009 at 6:29 pm

Hi, Krishna , i have subscribed the newslater, please send me the download link! Thanks! Expecting your reply!

54 Krishna Pillai April 17, 2009 at 5:59 am

@Danial: I just mailed you the instructions. Please check.

55 Danial August 16, 2010 at 9:46 am

Sorry, I didn’t received your e-mail yet.
Would you please resend the e-mail to me?

56 Krishna Sankar November 19, 2010 at 6:01 am: @Danial: Re-send

Reply

57 Oluwafemi April 16, 2009 at 8:46 pm

pls kindly send me the e book. thanks

58 madhu May 9, 2009 at 11:59 pm

Hai, krishna ,

Please send some information about Space time block codes.i.e introduction with two pages for the documentation.

Please…please send

by
madhu

59 Krishna Pillai May 12, 2009 at 5:33 am: @madhu: You may find two articles discussing Alamouti Space Time Block Codes @
http://www.dsplog.com/tag/stbc/

Hope this helps.

Reply

60 kanchana May 15, 2009 at 1:12 pm

hello sir

i am already subscribed but i did’nt get that ebook

61 Krishna Pillai May 20, 2009 at 5:26 am: @kanchana: If you had subscribed, you should have got the email download instructions. Maybe the email got incorrectly flagged as spam. Anyhow, I just mailed you with a fresh set of intructions.

Reply

62 radman May 25, 2009 at 8:08 am

hi Krishna
how can i get this book? can u help me and send the downlaod link? thanks alot

63 Krishna Pillai May 31, 2009 at 8:15 pm: @radman: I just mailed you the download instructions.

Reply

64 Bijunair May 26, 2009 at 12:34 pm

Dear Mr.Krishnapillai,
I admire your dedication and sincerity in helping others by giving useful suggestions, ample guidance and valuable advises. I am doing research in communication field and topic is to improve the performance of ofdm systems. my plan is to minimise PAPR and Frequency offset by using scrambling(PAPR Redn) in Txr and Windowing in Rxr(ICI Cancellation), plz comment on this and if you have any suggestion it will defenitely help me.

65 Krishna Pillai May 31, 2009 at 8:25 pm: @Bijunair: Well, even I have not done much on PAPR reduction rather than using scrambling at the transmitter. Am curious about how you are going to reduce the effect of frequency offset by using windowing in receiver. You may point me to some references which you are using. Thanks.

Reply

66 apri May 28, 2009 at 2:53 am

I would really appreciate if you could send me the ebook. thanks you so much before

67 R.Bijukumar June 10, 2009 at 11:08 am

Dear Krishna,
Plz send me the ebook on Error Prob
thanx

68 Krishna Pillai June 11, 2009 at 4:25 am: @Bijukumar: I mailed you the download instructions.

Reply

69 Sarah June 16, 2009 at 4:45 pm

Hello,

I would like to get a copy of the free e-Book on error rates in AWGN plz

Thanks

70 Krishna Pillai June 20, 2009 at 10:53 am: @Sarah: I just mailed you the download instructions over email. Kindly check

Reply

71 mya.amira June 16, 2009 at 11:38 pm

Please send me the ebook, thankS!

72 Krishna Pillai June 20, 2009 at 11:00 am: @mya: I just mailed you the download instructions over email. Kindly check

Reply

73 Tianhe June 18, 2009 at 7:28 am

Dear Krishna,
Plz send me the ebook ,thanks you so much before

74 Krishna Pillai June 21, 2009 at 12:42 pm: @Tianhe: I just emailed you the download instructions. Plz check

Reply

75 hugh June 21, 2009 at 9:24 pm

Please send me this e-book!
thank you!

76 Krishna Pillai June 22, 2009 at 5:44 am: @hugh: I just mailed you the download instructions. Kindly check.

Reply

77 val June 23, 2009 at 3:20 am

hello sir,
am yet to get the ebook.
I would appreciate it ,if you send me the link

78 Krishna Pillai June 23, 2009 at 4:41 am

@val: I just mailed you the download instructions. Please check.

79 mukul April 29, 2011 at 12:24 am

sir
plz mail me link to download book…..

80 Krishna Sankar May 24, 2011 at 5:37 am: @mukul: Have you subscribed to email newsletter from dsplog.com.
If not, please click here to subscribe.
http://www.feedburner.com/fb/a/emailverifySubmit?feedId=1348583&loc=en_US

Once you have subscribed, you should have received a confirmation email. Please reply to that
email and you will receive email instructions on how to download the eBook

Reply

81 Ali June 28, 2009 at 11:30 am

I need errors in computing like inherent errors,absolute, relative, modeling errors…..
please send on my mail alimabrook@gmail.com
with subject as ERRORS

82 Krishna Pillai June 30, 2009 at 5:10 am: @Ali: Sorry

Reply

83 Muhammad June 30, 2009 at 6:06 pm

Hi Krishna,
I am a member; can you please send me the URL for the ebooks you have? Thanks a lot.

84 Krishna Pillai July 2, 2009 at 5:20 am: @Muhammad: I mailed you the download instructions. Plz check.

Reply

85 Carlos July 7, 2009 at 11:18 am

Hi Krishna,

I would really appreciate if you could send me the ebook.

Thanks,
Carlos

86 Krishna Pillai July 15, 2009 at 4:43 am: @Carlos: I just mailed you the download instructions over email. Plz check.

Reply

87 Matt July 8, 2009 at 9:13 am

Hi, I’d like a copy of the e-book as well.
Thanks

88 Krishna Pillai July 15, 2009 at 4:48 am: @Matt: I just mailed you the download instructions over email. Plz check.

Reply

89 Girish K. July 11, 2009 at 3:38 pm

please send me ebook for BER in AWGN
thanks
regaurds Girish K.

90 Krishna Pillai July 15, 2009 at 5:08 am: @Girish: I just mailed you the download instructions over email. Plz check.

Reply

91 john Franzen July 14, 2009 at 7:56 am

Hi Krishna,

Please send me your e-book on AWGN.

Thanks!
-John

92 Krishna Pillai July 15, 2009 at 5:18 am: @John: I just mailed you the download instructions over email. Plz check.

Reply

93 taher July 14, 2009 at 6:18 pm

Hi Krishna,

I would really appreciate if you can help me to implement the cooperative communication (amplify and forward ) and (decode and forward) over the slowe fading channel . the system consistes of source, relay and destnation

all the best

94 Krishna Pillai July 15, 2009 at 5:19 am: @taher: Sorry, I have not tried modeling co-operative communications.

Reply

95 Gazi faisal Ahmed Jubair July 16, 2009 at 8:28 pm

I need to build a code of probability of Bit Error rate of BPSK, 16 QAM and 256 QAM and QPSK. I need some help. where could I get help . Can you Please help me on that regards.

96 Krishna Pillai July 17, 2009 at 5:28 am: @Gazi: You may use the following links
a) Bit error probability for BPSK modulation
http://www.dsplog.com/2007/08/05/bit-error-probability-for-bpsk-modulation/
b) Symbol error rate for 4-QAM (QPSK)
http://www.dsplog.com/2007/11/06/symbol-error-rate-for-4-qam/
c) 16QAM Bit Error Rate (BER) with Gray mapping
http://www.dsplog.com/2008/06/05/16qam-bit-error-gray-mapping/

Reply

97 saianand July 17, 2009 at 6:28 pm

its good

98 Girish August 1, 2009 at 3:35 pm

hi,
i am working for bit error rate for BPSK, QPSK and 16 QAM modulation techniques for different code rate 1/2, 3/4, 9/16 using AWGN and Rayleigh channel so plz help me for changing code rate and delay in hiperlan/2

99 Krishna Sankar August 5, 2009 at 5:48 am: @Girish: How do you achieve different code rate – by puncturing the convolutional code?

Reply

100 Kabir August 3, 2009 at 6:50 pm

Hi Krishna, I am working with mobile location in IS-95 CDMA system. Could you please send me matlab simulation m-file for QPSK modulation and demodulation of Pilot signal in IS-95 CDMA for Pilot channel acquisition. It would be a great help in my research.
Best wishes,

Kabir

101 Krishna Sankar August 5, 2009 at 5:51 am: @Kabir: Sorry Kabir. I have not tried modeling IS-95 systems.

Reply

102 farrakh August 10, 2009 at 2:06 am

hi krishna,
i want to plot different modulation schemes BER vs Es/No in awgn channel on a single plot.for example, 0 to 9 db QPSK modulation, 10 to 11 db 16 QAM modulatio,12 to 19 db 32PSK modulation and so on. its output will be a single line at series of Es/No values.can u help me about this?
thnx

103 Krishna Sankar August 11, 2009 at 4:51 am: @farrakh: From your question, it sound like you want to build an adaptive modulation simulation. Though I do not have posts discussing this explicitly, hope you will be able to adapt the QPSK, 16QAM and 16PSK simulations to meet your need.
http://www.dsplog.com/2007/11/06/symbol-error-rate-for-4-qam/
http://www.dsplog.com/2007/12/09/symbol-error-rate-for-16-qam/
http://www.dsplog.com/2008/03/18/symbol-error-rate-for-16psk/

Reply

104 Mak_m August 12, 2009 at 11:16 pm

hi , i hav tried qpsk with half rate convolutional coding with trellis structure of t = poly2trellis(7,[171 133]); i have also applied it with and without gray coding but still i m getting ber of 0.5.. why it does not match theoritical ber theortical ber……plzzz can any body tell me where i m wrong ….i had also tried 2/3 rate coding it works fine but ber at lower EbNo values is little bit higher after that remaining ber values are ok..but i m more intereted in 1/2 rate coding
any help will be appreciated
thanks in advance…

105 Tahir Abbas August 20, 2009 at 11:18 pm

AOA
Dear friend!
i am doing thesis of ms, my topic is
Channel State Information Enhanced Adaptive MC CDMA.
can u people help me, specially in matlab coding………

106 Krishna Sankar August 22, 2009 at 5:23 am: @Tahir Abbas: Good luck for your thesis.

Reply

107 Raymond August 23, 2009 at 7:05 pm

Hi,
Could you give a copy of free ebook ?
You really set up a good website of communication system.
Very appreciate your effort!
Thanks.

108 Krishna Sankar August 24, 2009 at 5:01 am: @Raymond: I emailed you the download instructions. Please check.

Reply

109 vanitha August 31, 2009 at 12:39 pm

please tell about demodulation techniques of single side band suppressed carrier within two days. please reply within two days.please……

110 Krishna Sankar September 7, 2009 at 5:28 am: @vanitha: Sorry, the two days have long passed Hope you found the required information.

Reply

111 smoodliar September 14, 2009 at 12:03 am

Hi Krishna

I would like to download your ebook on AWGN channels

Please advise

112 Krishna Sankar September 14, 2009 at 5:33 am: @smoodliar: I emailed you the download instructions. Plz check.

Reply

113 Alhad September 14, 2009 at 1:05 am

Please send me the ebook link on error probability

114 Krishna Sankar September 14, 2009 at 5:33 am: @Alhad: I emailed you the download instructions. Plz check.

Reply

115 Pit Dagostino September 16, 2009 at 11:33 pm

Hi Krishna

I would like to download your ebook on AWGN channels

Could you send me the link?

Thanks in advance,

Pit

116 Krishna Sankar September 18, 2009 at 5:51 am: @Pit: I emailed you the instructions. Plz check.

Reply

117 Ryan October 5, 2009 at 1:03 pm

Hi Krishna,
Your blog helps me to learn OFDM , thank you very much for that.
Could you send me the download instructions ?
I am try to simulate BER for OFDM using 16QAM
I would appreciate your help.
Thanks!

118 Krishna Sankar October 8, 2009 at 5:22 am: @Ryan: You may refer to the posts:
http://www.dsplog.com/2007/12/09/symbol-error-rate-for-16-qam/
http://www.dsplog.com/2008/06/05/16qam-bit-error-gray-mapping/
http://www.dsplog.com/2008/06/10/ofdm-bpsk-bit-error/
http://www.dsplog.com/2008/08/26/ofdm-rayleigh-channel-ber-bpsk/

Good luck.

Reply

119 rasi October 7, 2009 at 9:11 pm

I need equations on QPSK so that i can calculate bit error and eye diagram using matlab. Can u help me?

120 Krishna Sankar October 8, 2009 at 5:41 am: @rasi: Please refer to the posts
http://www.dsplog.com/2007/11/06/symbol-error-rate-for-4-qam/
http://www.dsplog.com/2008/05/01/eye-diagram-plot-matlab-raised-cosine-filter/

Reply

121 ReiRok October 27, 2009 at 7:39 am

Hi,

I have subscribed for the e-book, but i haven’t received any. Can you tell me the procedure to download it?

122 Krishna Sankar November 8, 2009 at 7:16 am: @ReiRok: I emailed you the download instructions. Sorry for the delay in my reply

Reply

123 aisha November 7, 2009 at 3:28 pm

hi im student of final year telecommunication
i need the matlab simulation codes of the following data
mobile wimax(error detection,correction,modulation)
same for hsdpa

124 Krishna Sankar November 8, 2009 at 9:02 am: @aisha: Sorry, I have not discussed specific to 802.16e. However, you may find posts on QAM and Viterbi @
http://www.dsplog.com/tag/qam/
http://www.dsplog.com/tag/viterbi/

Reply

125 ahishek November 16, 2009 at 7:53 am

hi!
we are doing a project to implement adaptive channel equalizer using MAT LAB.
can you provide us coding of adaptive channel equalizer.

126 Krishna Sankar December 6, 2009 at 3:26 pm: @ahishek: I have not yet posted articles on adaptive equalizer. good luck.

Reply

127 Anis November 18, 2009 at 2:14 pm

Hi Krishna,

Please send me the ebook, thankS!

128 Krishna Sankar December 6, 2009 at 3:56 pm: @Anis: I emailed you the instructions to download the eBook.

Reply

129 girish November 21, 2009 at 11:19 pm

please send me the ebook

130 Krishna Sankar December 6, 2009 at 4:30 pm: @girish: I emailed you the download instructions.

Reply

131 vijay j December 8, 2009 at 4:39 pm

I am already a member, could you please send me the ebook?

Thanks

132 Krishna Sankar December 10, 2009 at 6:02 am: @vijay: I emailed you the details.

Reply

133 gul December 22, 2009 at 4:42 pm

thank you for sharing such information.it is helpful in acquiring the knowledge about programminig in MATLAB.

can u help me in the topic use of wavelet transform in OFDM .
i m doing a project on it.

134 Krishna Sankar December 23, 2009 at 5:53 am: @gul: Sorry, am not familiar with wavelet transform in OFDM

Reply

135 Choe January 12, 2010 at 5:56 pm

Hello Mr. Krishna,
I need to get the e-book (I am already a member)
But I don’t know how to download.
If you O.K. can you send to me e-book?

136 Krishna Sankar January 25, 2010 at 5:20 am: @Choe: I mailed you the download instructions. Please check.

Reply

137 Ishwinder January 13, 2010 at 11:35 am

Hi Krishna,

Request you for the Ebook.

Thanks
Ishwinder

138 Krishna Sankar January 25, 2010 at 5:22 am: @Ishwinder: I emailed you the download instructions.

Reply

139 fariha January 13, 2010 at 3:28 pm

please send me download for the e book

140 Krishna Sankar January 25, 2010 at 5:23 am: @fariha: I emailed you the download instructions.

Reply

141 ZhangRui January 22, 2010 at 8:17 am

Hi Krishna,
How do I get a copy of the ebook? Thank you

142 Krishna Sankar January 25, 2010 at 5:24 am: @ZhangRui: I emailed you the download instructions.

Reply

143 Amjad January 27, 2010 at 11:10 am

Hi,

I have already ask you the question about the calculation of uncoded BER for the pulse position modulation and ergodic capacity calculation using any fading channel(lognormal or gamma). please reply

144 Krishna Sankar January 28, 2010 at 5:31 am: @Amjad: Sorry, I need more study to reply to your queries. And due to time constraints, am unable to allocate time. Kindly excuse.

Reply

145 Preppy January 29, 2010 at 6:30 am

Hi Krishna,
I would really appreciate if you could send me the ebook.

Thanks,
Preppy

146 Krishna Sankar April 4, 2010 at 4:47 am: @Preppy: Have you subscribed to email newsletter from dsplog.com.
If not, please click here to subscribe.
http://www.feedburner.com/fb/a/emailverifySubmit?feedId=1348583&loc=en_US

Once you have subscribed, you should have received a confirmation email. Please reply to that
email and you will receive email instructions on how to download the eBook.

Thanks,
Krishna

Reply

147 isa February 9, 2010 at 3:05 pm

i already subscribe to the newsletter
how do i download the ebook?
thanx

148 Krishna Sankar April 4, 2010 at 4:11 am: @isa: I emailed you the instructions

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149 mj February 15, 2010 at 12:51 am

plzz send me the book it would be very nice of u

150 Krishna Sankar February 15, 2010 at 5:41 am: @mj: I emailed you the download instructions

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151 srikanth February 16, 2010 at 8:13 pm

can any one send me the matlab lab coding for link budget analysis

152 rajesh February 17, 2010 at 11:13 pm

How do I get a copy of the ebook? Thank you

153 Krishna Sankar March 31, 2010 at 5:45 am: @rajesh: I emailed you the instructions

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154 cin6 February 21, 2010 at 12:59 pm

hai
i want it, i want it,but dot know why can’t download,
can you mail to me too? i very appreciate it

155 Krishna Sankar March 31, 2010 at 5:34 am: @cin6: I emailed you the details

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156 Eric March 7, 2010 at 11:05 am

I’ve learned a lot from your articals,thanks for your work!
Please send me the download instructions.

Thanks!
Eric

157 Krishna Sankar March 30, 2010 at 4:25 am: @Eric: I emailed you the instructions

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158 shreedhar A Joshi March 9, 2010 at 9:12 am

sir, please send me QPSK based matlab code with alamouti code and decode facility

159 Krishna Sankar March 29, 2010 at 6:48 am: @shreedhar A Joshi: I posted BPSK based Alamouti coding and decoding http://www.dsplog.com/tag/alamouti
It should be easy to adapt to QPSK case

Reply

160 Lester Heng March 18, 2010 at 1:01 pm

Hi Krishna,
How do I get a copy of the ebook? Thank you

161 Krishna Sankar March 28, 2010 at 2:22 pm: @Lester Heng: I emailed you the instructions

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162 swamy jsv March 25, 2010 at 10:39 am

Hello please tell me how can i get the e book. ur blog is very informative. good work..!!

163 Krishna Sankar March 28, 2010 at 1:47 pm: @swamy jsv: I emailed you the details.

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164 Nana April 6, 2010 at 7:38 am

can u send me a copy of the pdf file, i just registered

165 Krishna Sankar April 13, 2010 at 5:15 am: @Nana: I emailed you the download instructions.

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166 MAH April 6, 2010 at 1:51 pm

Dear Pillai

Ineed Derivation of FSK BER in Rayleigh channel

and Ihave paper (journal ) but I dont know simulate it, pleaze help me to send me the code to summerize it.

Peak Power Reduction of
OFDM Signals with Sign Adjustment
Masoud Sharif, Vahid Tarokh, and Babak

thank you

167 Krishna Sankar April 13, 2010 at 5:28 am: @MAH: I have derived BPSK BER in Rayleigh channel @
http://www.dsplog.com/2008/08/10/ber-bpsk-rayleigh-channel/
http://www.dsplog.com/2009/01/22/derivation-ber-rayleigh-channel/
I am not sure whether FSK results will be 3dB poorer that the BPSK case, but I would guess so.

Sorry, I do not have simulation for the mentioned paper.

Reply

168 MAH April 10, 2010 at 1:47 am

Dear Krishna Sankar

I have paper (journal ) but I dont know simulate it, pleaze help me to send me the code to summerize it.(this is homework)

Peak Power Reduction of
OFDM Signals with Sign Adjustment
Masoud Sharif, Vahid Tarokh, and Babak

thank you

169 Krishna Sankar April 14, 2010 at 5:27 am: @MAH: Sorry, I wont be able to code for you. However, you can ask queries in the comments section. I will try answer to the best of my knowledge

Reply

170 lakshmi narayana April 13, 2010 at 10:20 am

sir i require qpsk mod/demod using pn sequence in cdma environment

171 Krishna Sankar April 14, 2010 at 4:33 am: @lakshmi narayana: Sorry, I have not discussed CDMA scenarios in the blog. However, I would guess it will be reasonably simple to adapt the QPSK mod/demod post to the CDMA case.
http://www.dsplog.com/2007/11/06/symbol-error-rate-for-4-qam/
At the transmitter, multiply each symbol by the PN chips. Correspondingly, at the receiver convolve with the PN chip and pick the maxima.

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172 sndi April 19, 2010 at 1:56 am

could u plz send me the .pdf… B4 2 days, got exams coming, so pllzzzz hurry…

BTW this site is really really what i need !!!

continue the great work

173 Krishna Sankar April 21, 2010 at 5:44 am: @sndi: I emailed you the instructions.

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174 R uma mahesh May 10, 2010 at 5:52 pm

can u send me a copy of the pdf file

175 Krishna Sankar June 24, 2010 at 4:16 am: @uma: I emailed you the instructions

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176 uma mahesh May 11, 2010 at 8:06 am

Hi , can you please send me the pdf file

177 Krishna Sankar June 24, 2010 at 4:16 am: @uma: I emailed you the instructions.

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178 landfox May 18, 2010 at 4:12 pm

May I get a copy of the ebook?

Thank you

179 Krishna Sankar June 24, 2010 at 4:12 am: @landfox: I emailed you the download instructions

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180 Peng Li June 8, 2010 at 6:37 pm

Dear Krishna Sankar:
I am a student from China. Your work helps me a lot. Please send me a copy of the book. Thanks.

Best Regards

Yours Peng Li

181 Krishna Sankar June 14, 2010 at 6:25 am: @Peng Li: I emailed you the instructions.

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182 mohamed June 15, 2010 at 3:10 pm

please i want the e-book

183 Krishna Sankar June 16, 2010 at 6:08 am: @mohamed: I emailed you the download instructions

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184 Ivy June 17, 2010 at 2:40 pm

Please I want the e-book.
Thank you!

185 Krishna Sankar June 18, 2010 at 6:21 am: @Ivy: I emailed you the download instructions

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186 mohamed saber June 21, 2010 at 7:16 pm

please i want the link for the book of AWGN

187 Krishna Sankar June 23, 2010 at 6:00 am: @mohamed saber: I emailed you the instructions

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188 Harsha July 27, 2010 at 5:09 pm

Can you send me the link for the Ebooks

189 Krishna Sankar August 2, 2010 at 5:52 am: @Harsha: I emailed you the instructions

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190 sal July 31, 2010 at 9:48 pm

Hi Krishna
Can you please send me the copy of the ebook !
I am doing my report on OFDM and I would like to thank you for your work!

191 Krishna Sankar August 2, 2010 at 5:50 am: @sal: I emailed you the instructions.

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192 Daniel August 3, 2010 at 1:07 pm

Would you please send me the download URL, thanks a lot!

193 Krishna Sankar August 4, 2010 at 6:09 am: @Daniel: I emailed you the instructions.

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194 Nisa August 7, 2010 at 3:02 pm

Hi Krishna,

I’m already member of dsplog and i’m interested with your website and the free e-book. Would you kindly please send me the free e-book? Thanks in advance,Khrisna.

195 Krishna Sankar August 10, 2010 at 5:05 am: @Nisa: I emailed you the instructions

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196 Alex August 7, 2010 at 11:12 pm

Hi Krishna, would you share the ebook please…thanks a lot.

197 Krishna Sankar August 10, 2010 at 5:06 am: @Alex: I emailed you the instructions

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198 V.Venkataramanan August 13, 2010 at 10:23 pm

Hello Sir Can u send me the book error probability in AWGN

199 Krishna Sankar November 19, 2010 at 6:03 am: @Venkataramanan: I emailed the instructions

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200 DIEP DANG September 7, 2010 at 9:10 am

Hi Krishna,

I’m already member of dsplog and i’m interested with your website and the free e-book. Would you kindly please send me the free e-book? Thanks in advance,Khrisna.

201 Krishna Sankar September 8, 2010 at 6:02 am: @DIEP DANG: emailed you the details

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202 Abu Noor-Eddin September 7, 2010 at 6:53 pm

Hi Krishna,

Would you please send me the ebook? Thanks in advance.

203 Krishna Sankar September 8, 2010 at 6:06 am: @Abu: Thanks for the comment. Have you subscribed to email newsletter from dsplog.com.
If not, please click here to subscribe.
http://www.feedburner.com/fb/a/emailverifySubmit?feedId=1348583&loc=en_US

Once you have subscribed, you should have received a confirmation email. Please reply to that
email and you will receive email instructions on how to download the eBook.

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204 manaroff September 7, 2010 at 9:11 pm

Hello, Mr. Sankar

Can you send me the URL.

Thanks alot.

205 Krishna Sankar September 8, 2010 at 6:06 am: @manaroff: Thanks for the comment. Have you subscribed to email newsletter from dsplog.com.
If not, please click here to subscribe.
http://www.feedburner.com/fb/a/emailverifySubmit?feedId=1348583&loc=en_US

Once you have subscribed, you should have received a confirmation email. Please reply to that
email and you will receive email instructions on how to download the eBook.

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206 manaroff September 12, 2010 at 12:25 am

Sorry, Krishna. I subscribed, but nothing happened!

207 Krishna Sankar November 19, 2010 at 6:00 am: @mamroff: I emailed you the download instructions

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208 junaid September 28, 2010 at 12:45 am

well sir i must say u hv a very big heart ………..

209 Anthony September 28, 2010 at 6:31 pm

may I have the link for AWGN eBook? thanks in advance!

210 Krishna Sankar November 19, 2010 at 5:59 am: @Anthony: I emailed you the instructions

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211 john nash October 6, 2010 at 4:20 pm

I want this ebook , please send me the download URL.

thanks

212 Krishna Sankar November 19, 2010 at 5:58 am: @john: I emailed you the instructions

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213 Rohit Prasad November 8, 2010 at 9:40 am

Hi Krishna. I am already a member of DSP log. Could you please send me the e book? Thanks in advance

214 Krishna Sankar November 15, 2010 at 1:49 am: @Rohit: I emailed you the download instructions

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215 barbadosa November 11, 2010 at 4:22 am

Hi, I have subscribed, please send me the ebook
regards,
barbadosa

216 Krishna Sankar November 15, 2010 at 1:44 am

@barbadosa: I emailed you the download instructions

217 Raja April 8, 2011 at 12:22 am

Hi,
I subscribed to dsplog and got the confirmation mail, but it is a ‘no-reply’ maid ID. I did try to reply, but it bounced
Can you please send me the e-book on AWGN…
Thanks a lot.
Raja

218 Krishna Sankar May 26, 2011 at 5:52 am: @Raja: Emailed you the download instructions

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219 Rohit Nandan Prasad November 11, 2010 at 8:18 pm

Hi Krishna

I would like to download your ebook on AWGN channels

Please advise

Rohit

220 Krishna Sankar November 14, 2010 at 10:31 am: @Rohit: Have you subscribed to email newsletter from dsplog.com.
If not, please click here to subscribe.
http://www.feedburner.com/fb/a/emailverifySubmit?feedId=1348583&loc=en_US

Once you have subscribed, you should have received a confirmation email. Please reply to that
email and you will receive email instructions on how to download the eBook.

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221 Ideal November 15, 2010 at 5:47 am

Hi Krishna,
I am also member, please can you email the instruction of downloading the e book of calculating the BER of awgn/rayleigh channel. Thanks

222 Krishna Sankar November 15, 2010 at 9:18 pm: @Ideal: I emailed you the instructions

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223 Alex December 2, 2010 at 4:22 pm

Hi Krishna!
Please, help me to download your ebook.
Thanks!

224 Krishna Sankar May 26, 2011 at 6:04 am: @Alex:
Have you subscribed to email newsletter from dsplog.com.
If not, please click here to subscribe.
http://www.feedburner.com/fb/a/emailverifySubmit?feedId=1348583&loc=en_US

Once you have subscribed, you should have received a confirmation email. Please reply to that
email and you will receive email instructions on how to download the eBook.

Reply

225 Rizwan February 28, 2011 at 7:27 pm

Hi Krishna,

I subscribed but cannot reply to the email. Can you please me the book.

Regards,

Rizwan

226 Krishna Sankar May 26, 2011 at 5:57 am: @Rizwan: emailed you the download instructions

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227 putria March 22, 2011 at 8:02 pm

hi..
im student of final year telecommunication..
i am already a member, could you please send me the ebook?

thanks

228 Krishna Sankar May 24, 2011 at 5:44 am: @putria: emailed you the instructions

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229 Sivaprrasath March 24, 2011 at 6:11 pm

Hi Krishna,

I have subscribed. Please email me the download instructions. I am unable to reply to the confirmation mail.

230 Krishna Sankar May 24, 2011 at 5:43 am: @Sivaprrasath: emailed you the instructions

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231 Le Hoang Hiep April 14, 2011 at 9:19 pm

Hello Krishna Sankar,
I have already finished my subscription. Could you please send me the URL of the book. Thank you very much!
Le Hoang Hiep

232 Krishna Sankar May 26, 2011 at 5:50 am: @Le: Emailed you the instructions

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233 Tatsu April 15, 2011 at 3:58 pm

Hi, I have subscribed, please send me the ebook
Thanks

234 Krishna Sankar May 24, 2011 at 5:40 am: @Tatsu : emailed you the instructions

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235 Usman April 20, 2011 at 12:31 pm

wow great work …. plz send me the book

Usman

236 Krishna Sankar May 24, 2011 at 5:39 am: @usman: Have you subscribed to email newsletter from dsplog.com.
If not, please click here to subscribe.
http://www.feedburner.com/fb/a/emailverifySubmit?feedId=1348583&loc=en_US

Once you have subscribed, you should have received a confirmation email. Please reply to that
email and you will receive email instructions on how to download the eBook.

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237 Yue April 23, 2011 at 5:25 pm

Hi Krishna, I subscribed the feed, but it is a no-reply address, would you please send me a copy?

238 Krishna Sankar May 24, 2011 at 5:38 am: @Yue : emailed you the instructions

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239 vobbilichetty.satish April 25, 2011 at 4:57 pm

I am also member, please can you email the instruction of downloading the e book of calculating the BER of awgn/rayleigh channel. Thanks

240 Krishna Sankar May 26, 2011 at 5:46 am: @satish: I emailed you the instructions

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241 Nal May 12, 2011 at 5:15 pm

Hi,
I have subscribed but i didn’t get e book. Can you send me the URL

Thanks

Nal

242 Krishna Sankar May 24, 2011 at 5:19 am: @Nal: Emailed you the instructions

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243 Joe May 30, 2011 at 10:12 pm

Hi,
I have subscribed but when I replied to get a free ebook it was failed to send email to your address. Could you please send me ebook by email please. Thank you so much.
Joe

244 Krishna Sankar May 31, 2011 at 5:28 am: @joe: emailed you the instructions

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245 bob July 13, 2011 at 4:55 am

Good book.

246 madhukar b r September 15, 2011 at 9:13 am

Hi I have registered. Pl send me the instructions to download the ebook

247 Ben September 27, 2011 at 1:57 pm

Hi, I have subscribed, please send me the ebook

248 Mohammad December 18, 2011 at 10:46 pm

Hi Krishna Sankar.
I have subscribed but i didn’t get e book. Can you send me the book?
thnks to your great site

249 Krishna Sankar December 21, 2011 at 7:03 am: @Mohammad: emailed you the instructions

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250 Thiyagarajan S December 24, 2011 at 9:01 am

Hello sir,I have registered. Please send me the instructions to download the ebook..Thank u in advance

251 Krishna Sankar December 24, 2011 at 6:40 pm: @Thiyagarajan : Mailed you the download instructions

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252 nhavi January 1, 2012 at 8:34 pm

Hello sir,
I have subscribed but i didn’t get e book.
Please send me the instructions to download the ebook.
Thank you in advance!

253 Krishna Sankar January 2, 2012 at 6:09 am: @nhavi: emailed you the instructions

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254 Bharg January 4, 2012 at 11:35 pm

hi, can you please tell me what are the changes to be made in the symbol error probability code for QPSK if I want the bit error rate instead?

The question is- bit error probability for QPSK

255 Krishna Sankar January 5, 2012 at 5:12 am: @Bharg: For QPSK, one needs to send information on both real and imaginary components
http://www.dsplog.com/2007/11/06/symbol-error-rate-for-4-qam/

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256 lava Bhargava January 18, 2012 at 6:28 pm

Hi,
I have registered at the site a few days back. please send me the link for downloading the book.

257 Krishna Sankar January 23, 2012 at 5:19 am: @lava: emailed you the instructions

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258 Ed January 18, 2012 at 7:31 pm

Can you send me link to download ebook?

259 Krishna Sankar January 22, 2012 at 8:55 am: @Ed: Emailed you the instructions

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260 Abhishek January 22, 2012 at 1:34 am

Dear Krishna
I have subscribed to this blog but i didn’t get the e book.
thank u

261 Krishna Sankar January 22, 2012 at 8:56 am

@Abhishek: Emailed you the instructions

262 Al February 16, 2012 at 1:53 pm

Hello,
I’ve registered and subscribed to the blog, can I have the instructions on how to get the ebook?
Thanks in advance

263 Krishna Sankar February 26, 2012 at 6:08 am: @Al: emailed you the instructions

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264 Alex January 29, 2012 at 3:11 pm

Hi, can you send me the download instructions?
Thanks

265 Krishna Sankar January 29, 2012 at 5:03 pm: @Alex: emailed you the instructions.

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266 Annie February 15, 2012 at 11:47 pm

Hello Krishna,
Ur work is helping me a lot in my research.
I would like to have the ebook to getting more out of it.
Can u pls send me the link.

Thanks again

267 Krishna Sankar February 25, 2012 at 9:00 am: @Annie: emailed you the instructions

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268 ali February 20, 2012 at 1:59 am

Please send me the ebook, thanks!

269 Krishna Sankar February 24, 2012 at 5:29 am: @ali: emailed you the instructions

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270 zardosht February 22, 2012 at 5:10 pm

Hi Krishna
I would appreciate if you send me an ebook about simulation of modulation.
I’m new in simulation.
yours faithfully.

271 Krishna Sankar February 24, 2012 at 5:23 am: @zardosht: emailed you the instructions

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272 Asif Mukhtar March 30, 2012 at 5:39 pm

hi krishna sankar

please send me ebook for helping

273 Krishna Sankar March 30, 2012 at 7:43 pm: @Asif: emailed you the instructions

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274 vishal April 4, 2012 at 2:51 pm

hi
kindly mail me ebook

regards
vishal

275 Krishna Sankar April 5, 2012 at 4:10 am: @vishal: emailed you the instructions

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276 Galal April 5, 2012 at 10:00 am

I’m already a subscriber, how to get the ebook

277 Krishna Sankar April 8, 2012 at 5:03 am: @Galal: emailed you the instructions

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278 Maryam April 8, 2012 at 8:27 am

Hi Krishna,
How do I get a copy of the ebook, since I am already a member ?

279 Krishna Sankar April 10, 2012 at 4:51 am: @Maryam: mailed you the instructions

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280 nihal ozlu April 9, 2012 at 5:00 pm

I subscribed but i dont know how to get the ebook ? Could you please send me ?

281 Krishna Sankar April 10, 2012 at 4:43 am: @nihal: emailed you the instructions

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282 Grekhov April 10, 2012 at 8:24 pm

Please help me to understand my results.
I have simulated in Simulink (Bernoulli, Hamming Encoder, BPSK Modulator, AWGN, BPSK Demodulator, Hamming Decoder) BPSK with AWGN and have obtained that Hamming (7,4) code has lower BER than Hamming (31,26).
Is it connected with noncoherent demodulation?
I have subscribed but do not know how to get your book. Please send me the book.

283 Krishna Sankar April 11, 2012 at 5:17 am: @Grekhov: Replies
1. Hmm.. where you comparing Eb/N0? Would expect that you are using coherent demodulation
Did you want to look at http://www.dsplog.com/tag/hamming/
2. Emailed you the instructions

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284 Thomas Taffner April 11, 2012 at 12:51 pm

I have registered and subscribed to the block. Please let me have the link to the free ebook.

285 Krishna Sankar April 11, 2012 at 6:57 pm: @Thomas: emailed you the instructions

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286 Aronima April 19, 2012 at 11:18 am

Hi Krishna,

How do I get a copy of the ebook?(am already a member)

287 Krishna Sankar April 23, 2012 at 5:28 am: @Aronima: emailed you the instructions

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288 Guo May 4, 2012 at 10:57 am

I need the ebook,thank you.

289 Krishna Sankar May 8, 2012 at 5:20 am: @Guo: emailed you the instructions

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Download free e-book on error probability in AWGN

Subscribe and download the free e-Book

Bit error probability for BPSK modulation

Symbol error rate for 4PAM

Symbol error rate for 4-QAM (QPSK)

Symbol error rate for 16-QAM

Symbol Error Rate for 16PSK

Subscribe and download the free e-Book

16QAM Bit Error Rate (BER) with Gray mapping

BPSK BER with OFDM modulation

References

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