Comments on: Minimum frequency spacing for having orthogonal sinusoidals http://www.dsplog.com/2007/12/31/minimum-frequency-spacing-for-having-orthogonal-sinusoidals/ Signal Processing for Communication Fri, 10 Feb 2012 01:03:15 +0000 hourly 1 http://wordpress.org/?v=3.3.1 By: fly4ever http://www.dsplog.com/2007/12/31/minimum-frequency-spacing-for-having-orthogonal-sinusoidals/#comment-17968 fly4ever Sun, 10 Jan 2010 04:32:12 +0000 http://www.dsplog.com/2007/12/31/minimum-frequency-spacing-for-having-orthogonal-sinusoidals/#comment-17968 3. In the above Matlab code snippet, with seperation, the sum of the product of two sinusoidals is only nearly equal to zero (and not zero). Need to think more and revert. I think it is because that the Matlab sum function cannot present the real meaning of integrate, (the area of the curve of the product of two sinusoidals). Hence sum_with_phi_random = sum(s1.*s2) should be add the factor 1/fs, as below: sum_with_phi_random = sum(s1.*s2)*1/fs 3. In the above Matlab code snippet, with seperation, the sum of the product of two sinusoidals is only nearly equal to zero (and not zero). Need to think more and revert.

I think it is because that the Matlab sum function cannot present the real meaning of integrate, (the area of the curve of the product of two sinusoidals).
Hence
sum_with_phi_random = sum(s1.*s2)
should be add the factor 1/fs, as below:
sum_with_phi_random = sum(s1.*s2)*1/fs

]]> By: Krishna Pillai http://www.dsplog.com/2007/12/31/minimum-frequency-spacing-for-having-orthogonal-sinusoidals/#comment-5043 Krishna Pillai Tue, 10 Feb 2009 15:07:30 +0000 http://www.dsplog.com/2007/12/31/minimum-frequency-spacing-for-having-orthogonal-sinusoidals/#comment-5043 @ram: I did not do the detailed analysis, but I think (f1+f2)T being an integer is required for saying that two sinusoidals with zero phase difference to be orthogonal is f1-f2 = 1/2T @ram: I did not do the detailed analysis, but I think (f1+f2)T being an integer is required for saying that two sinusoidals with zero phase difference to be orthogonal is f1-f2 = 1/2T

]]> By: ram http://www.dsplog.com/2007/12/31/minimum-frequency-spacing-for-having-orthogonal-sinusoidals/#comment-4917 ram Sat, 07 Feb 2009 18:52:46 +0000 http://www.dsplog.com/2007/12/31/minimum-frequency-spacing-for-having-orthogonal-sinusoidals/#comment-4917 one more question it was mentioned that for what ever value of phi form 0 to 2pi the cos term should be one and the sin term is zero.. But it is not necessary... check out for phi = 135degress and the cos term and sin term as 1 then even the equation goes to zero..... one more question it was mentioned that for what ever value of phi form 0 to 2pi the cos term should be one and the sin term is zero..

But it is not necessary…
check out for phi = 135degress and the cos term and sin term as 1 then even the equation goes to zero…..

]]> By: ram http://www.dsplog.com/2007/12/31/minimum-frequency-spacing-for-having-orthogonal-sinusoidals/#comment-4909 ram Sat, 07 Feb 2009 10:46:33 +0000 http://www.dsplog.com/2007/12/31/minimum-frequency-spacing-for-having-orthogonal-sinusoidals/#comment-4909 everything is ok. But, what about the condition (f1+f2)T is integer that is assumed in the derivation??? what about if (f1+f2)T is not integer??? ??? everything is ok. But, what about the condition (f1+f2)T is integer that is assumed in the derivation???

what about if (f1+f2)T is not integer???
???

]]> By: ram http://www.dsplog.com/2007/12/31/minimum-frequency-spacing-for-having-orthogonal-sinusoidals/#comment-4908 ram Sat, 07 Feb 2009 10:45:58 +0000 http://www.dsplog.com/2007/12/31/minimum-frequency-spacing-for-having-orthogonal-sinusoidals/#comment-4908 everything is ok. But, what about the condition (f1+f2)T is integer that is assumed in the derivation??? what about if (f1+f2)T is not integer??? everything is ok. But, what about the condition (f1+f2)T is integer that is assumed in the derivation???

what about if (f1+f2)T is not integer???

]]> By: Krishna Pillai http://www.dsplog.com/2007/12/31/minimum-frequency-spacing-for-having-orthogonal-sinusoidals/#comment-243 Krishna Pillai Tue, 06 May 2008 03:23:21 +0000 http://www.dsplog.com/2007/12/31/minimum-frequency-spacing-for-having-orthogonal-sinusoidals/#comment-243 @amr alaa: Thanks. You may subscribe to the RSS-over-email or RSS-feed :) @amr alaa: Thanks. You may subscribe to the RSS-over-email or RSS-feed :)

]]> By: amr alaa http://www.dsplog.com/2007/12/31/minimum-frequency-spacing-for-having-orthogonal-sinusoidals/#comment-238 amr alaa Sat, 03 May 2008 17:59:16 +0000 http://www.dsplog.com/2007/12/31/minimum-frequency-spacing-for-having-orthogonal-sinusoidals/#comment-238 thanks very helpful thanks
very helpful

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