Articles
Hi,
Thanks for comment and hoping that you liked the article. I will look into your comment and expect to respond with in two/three days if there is a query.
Further, you may join the email subscription (to get new articles delivered to your inbox).
Note: Joining the email subscription list entitles you to receive the free e-Book on Probability of Error for BPSK/QPSK/16QAM/16PSK/64QAM in AWGN.
Subscribe and download the free e-Book
Alternatively, you may subscribe to the RSS feed by clicking here.
Articles
Symbol and Bit error rate computation for various modulation scheme in AWGN
- Bit error rate for BPSK
- Bit error rate for FSK (frequency shift keying)
- Bit error rate for differential binary phase shift keying (DBPSK)
- Symbol error rate for 4-PAM
- Symbol error rate for QPSK
- Symbol error rate for 16-QAM
- Symbol error rate for 16-PSK
- Comparing symbol error rate for 16QAM and 16PSK modulation
Orthogonal signals
- Minimum frequency spacing for having orthogonal sinusoidals
- OFDM transmission
- Cyclic prefix in orthogonal frequency division multiplexing
- Peak to average power ratio in OFDM signalling
Receiver synchronization
- Frequency offset estimation using 802.11a short preamble
- First order PLL for tracking constant phase offset
Filters
- Cascaded Integrator Comb (CIC) filter
- Digital implementation of RC low pass filter
- Transmit pulse shaping filter
Hardware efficient signal processing circuits
- Polyphase filters for interpolation
- Using CORDIC for phase rotation
- Using CORDIC for phase and magnitude computation
Miscellaneous
MIMO
- MIMO with Zero Forcing equalizer
- MIMO with MMSE equalizer
- MIMO with ZF Successive Interference Cancellation equalizer
- MIMO with ML equalization
- MIMO with MMSE SIC and optimal ordering
Hope you like the blog.
Related posts
- dspLog turns two! Happy Birthday!
- Download free e-book on error probability in AWGN
- Comparing BPSK, QPSK, 4PAM, 16QAM, 16PSK, 64QAM and 32PSK
- BER for BPSK in ISI channel with MMSE equalization
- Comparing 16PSK vs 16QAM for symbol error rate
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.


{ 54 comments… read them below or add one }
hi
i need simulink’s (matlab) block for accunting BPSK BER
thanks
@sam: Sorry, I do not have Simulink.
my question is how to demodulate the SSB-SCsignals.
Sir, while converting data into OFDM signal , it is observed that Subcarrier index is used. Inthis for standndard 802.11a , 64 subcarriers are used ,of which 52 is for data. The subcarrier index used is -26 to +26 . I want to know Why it is used so? Why 0 is not included in this.
@Selvi Rajan: Answer for one of the queries in http://www.dsplog.com/2009/10/07/quiz-ieee-80211a-specifications/ address this.
DC is not used because, there can be DC in the system due to RF impairments. Hence will corrupt the information send on DC subcarrier. The edge subcarriers are not used to allow the spectrum to roll-off.
sorry about the incomplete comment !!
I meant that the variance will be changed or not if I didn’t use a complex part ?
sir
please give me the suggestion to calculate throughput in WLAN OFDM systems
@SREENU: I would recommend you to go over the paper
Throughput and Delay Limits of IEEE 802.11, Yang Xiao, Jon Rosdahl, IEEE COMMUNICATIONS LETTERS, VOL. 6, NO. 8, AUGUST 2002
Its available online and you should be able to find it by quick googling. Good luck.
sir i am able to do matlab program for papr calcaulation for 7 carriers
@manisha: Thats nice
Plz it is urgent I need it today
iam dioing simulation to find ber of bpsk modualtion for pass band case in awgn channel. i am using a carrier with some perticular frequency.
@rama: Please ask queries. I will try to answer to the best of my knowledge.
thank you for sharing such information.
i m doing a project on OFDM.can u please help me for the use of wavelet transform in OFDM.
@gul: Sorry, am not familiar with wavelet transform in OFDM
can u pls mail me matlab program for papr calculation
i hav prefferd iee paper of jones and wiliksons paper
@manisha: You can refer articles on PAPR at http://www.dsplog.com/tag/papr
is there any book for digital communication and wireless/mobile communication using MATLAB?
why u r not using the builtin functions for modulation,demodulation etc.
thanks a lot for the demonstration
Hello sir,
i subscribed dsplog but i didn’t get ber e-book. i got mail to download book but its not working. its giving corrupted pdf. Kindly send me.
@Umashankar: I mailed you the download instructions. please check.
plz sir help me in providing matlab code for interleaver using rs using qam or any other modulation scheme in awgn . its urgent. plz help
thanks in advance
@gurinder: Sorry, I have not made any posts involving interleaver
i subscribed dsplog but i didn’t get BER e-book. i received the mail to download the book but its not working. Kindly send me.
@gul: I re-checked the download link, its working. I mailed the same to you again.
thank you for the same.
i m doing a project on OFDM. i want to implement wavelet transform in place of FFT.can u suggest am i on right track or not?
is it little possible to do this.
Can you demodulate the co-channel AIS signals(GMSK signals) and does there exists any methods to separete the co-channel AIS signals(GMSK signals) ?thanks very much
hi krishna!
I need matlab code to obtain BER vs SNR curve for binary on-off keying modulation.
also, i need code for SER vs SNR curve for 3ASK modulation.
hw i will generate multipath channel coefficient in ofdma
@surjeet: You can have an exponential channel model (like Naftali model for WLAN)
http://www.commsdesign.com/article/printableArticle.jhtml?articleID=16505977
https://mentor.ieee.org/802.11/file/00/11-00-0282-00-00sb-evaluating-the-performance-of-ieee802-11-hrb-proposal-in-multipath.ppt
Hi
Krishna
If the channel became Nakagami-m in OFDM system, how change the value of ht in program simulation of BER of multipath OFDM in Relaigh fading channel
Thank you
@Ahmed: Sorry, I have not tried to model Nakagami systems
im new in matlab.
Hello Krishna, thanks for ur nice work on OFDM.
i want to design an OFDM simulator using matlab GUI so that we can easily to find out the BER vs SNR when i change any parameter on the modulation..
can u give me some idea which part i need to change mybe on the sampling freq or mybe on the no of sample..
and lastly from ur code which part i must to do so…please teach me…-shah-
@shah: Well, the concept of sampling is notional in Matlab
i wan to know how can we find papr for 7 caiiers
suppose by block coding code is 1100110 then how to find papr
@manisha: Please look at the post http://www.dsplog.com/2008/02/24/peak-to-average-power-ratio-for-ofdm/. The article discuss the N carrier case, which you can adapt to 7 carrier case.
hi krishna
i m new to matlab and i need to know tht ur code for ml equalisation uses viterbi algo aur something else,please tell i m not able to figure it out.
thanks
@deepak: which is the code which you are referring to?
I need to compute 24 point dft using 8 point dft chips……. pls help!!!!!!
@Karthick: Did you try looking into the FFT equations?
@Karthick: Have you tried looking into the FFT equations?
Help hw do i generate E/No curve for ASK modulation
@taona: I have discussed symbol error rate for 4-PAM case http://www.dsplog.com/2007/10/07/symbol-error-rate-for-pam/
Hope that serves as a good reference
Hello Krishna,
I have referred your example on first order PLL for constant phase tracking.It was very useful.
http://www.dsplog.com/2007/06/10/first-order-digital-pll-for-tracking-constant-phase-offset/
But in the example a complex carrier is being used at the transmitter and receiver.Practically , when I use a cosine carrier at Tx. and cosine,sine carriers at Rx.(as in costas loop) , can the same loop filter be used ?
I have tried to simulate the above situation in the following script but was unable to estimate the phase. Please help me……….
% MODULATION
clc;
clear all;
close all;
[b,a] = butter(1,0.0156,’low’); % low pass filter to remove
nterm_i = 0; % double frequency component
dterm_i = 0;
nterm_q = 0;
dterm_q = 0;
n_sym = 10; % number of symbols
fs = 12.8e6;
t = 0:1/fs:100e-6 – 1/fs;
fc = fs/8; % carrier freuency
theta = 70*pi/180; % phase offset
r = 0.1e6; % symbol rate
oversamp = fs/r;
sym = randint(n_sym,1)*2-1;
in = 0;
for ind=1:1:n_sym
tmp(1:oversamp) = sym(ind);
in = [in tmp];
end
tx = in(2:end);
tx_carrier = cos(2*pi*fc*t + theta);
tx_out = tx.*tx_carrier;
% first order pll
alpha = 0.05;
phiHat = 0;
for ii = 1:1:length(t)
% Remove carrier
rx_i(ii) = tx_out(ii)*cos(2*pi*fc*t(ii) + phiHat);
rx_q(ii) = tx_out(ii)*sin(2*pi*fc*t(ii) + phiHat);
% low-pass IIR filter for I-channel
iir_in_i(ii) = rx_i(ii);
iir_out_i(ii) = b(1)*iir_in_i(ii)+ nterm_i + dterm_i;
nterm_i = b(2)*iir_in_i(ii);
dterm_i = a(2)*iir_out_i(ii);
% low-pass IIR filter for Q-channel
iir_in_q(ii) = rx_q(ii);
iir_out_q(ii) = b(1)*iir_in_q(ii)+ nterm_q + dterm_q;
nterm_q = b(2)*iir_in_q(ii);
dterm_q = a(2)*iir_out_q(ii);
% demodulating circuit
xHat = 2*(iir_out_i(ii)>0) -1 ; % symbol estimate
phiHatT =angle(conj(xHat)*rx_i(ii)); % phase error estimate angle(iir_out_i(ii) + i*iir_out_q(ii));%
% accumulation
phiHat = alpha*phiHatT + phiHat; % phase accumulator output
% dumping variables for plot
phiHatDump(ii) = phiHat;
end
plot(phiHatDump*180/pi,’-');
@venkat: Does the transmitted symbol has phase information?
hello sir..
how to downsample received UWB signal ???kindly help us with matlab code sir
@Uma: Sorry, I have not tried modeling UWB signals
hello krishna,
i m making code for PTS scheme for PAPR reduction. i m facing some problems in that……
1. how to implement oversampling in ofdm?
2. how do we calculate CCDF for PAPR calculation?
thanx in advance.
@gul: My replies
1/ For oversampling by a factor of 2 insert 1 zero inbetween samples; for oversampling by factor of 3 insert 2 zeros inbetween samples; and so on. Note: Oversampling need to be followed by filtering
2/ Take the histogram of the time domain samples to find the PDF. Use cumsum to find the CDF. Then 1- CDF gives CCDF. In the post on PAPR in OFDM, I have plotted the CDF of the time domain waveform http://www.dsplog.com/2008/02/24/peak-to-average-power-ratio-for-ofdm/
Hello,
I have a question about plotting BER vs SNR in MIMO systems. Lets say i have a 2×2 MIMO system, and i perform an SVD on the channel, so i can encode and decode the signal with V and U, respectively, such that i am left with 2 uncoupled SISO channels. now each channel has its own singular value, and let us assume for now that the noise power is the same in both channels. So we have SNR1 in the first channel, and SNR2 in the second channel, and they are different.
Q1: How would you define the SNR of this system? is it the average SNR of both channels?
Now we now that according to the Water Filling algorithm, we can transmit more power (and thus, more bits) in channels with higher SNR. so if come to conclusion that the first channel can carry QPSK, and the second channel can only carry BPSK, i have different contelations in both channels… So the SNR which were calculated earlier for each channel, should now be modified in order to reflect the number of bits which are transmitted via those channels, by: SNR_bit=SNR_sym/k, where k=log_2(M).
Q2: How should plot 1 graph which describes the BER vs. SNR_bit of this system? Should i calculate SNR_bit for each SISO channel, and BER for each SISO channels separately, and the average the results?
Thanks
@ben: My replies
1.a) As I recall, when we are multiplying by V, we are not introducing any gain in the transmitter. In that case, signal power at the transmitter remains the same irrespective of multiplication by V. Agree?
Having said that reporting SNR information from both the streams and average SNR is useful. I believe most MIMO test instruments report both
1.b) The signal to noise ratio is independent of the constellation used. If you want to compare using Eb/N0, then yes, need to factor in the constellation
2) Hmm…. you can defined Es/N0 = ratio of total power at tx / total noise power at rx. Then depending on the number of bits which are pumpre through, Es/N0_dB = Eb/N0_dB + 10*log10(number of bits per symbol across all tx chains)
Agree? Your thoughts please.
hey…
will u plz giv me code for gmsk….
thanks..
avdhut
@avdhut: I do not have the code for GMSK, but you may refer the MSK code @
http://www.dsplog.com/2009/06/16/msk-transmitter-receiver/
http://www.dsplog.com/2008/01/19/simulating-minimum-shift-keying-transmitter/