MATLAB: Polarity different dimension summation

digital signal processingdspfftfilterflipifftoptical;random number generatorsignal

I have bipolar signal as positive and negative as shown in the following

x=[-1 8 2 -3 -5  6 -4 5 -8 7 -9 4 5 -10 -6 -11 8 3 7 1 -5 -20 14 18 19 -16 8 16 -17 -15];
Xp=x(x>0);
Xn=x(x<0);
figure(1)
stem(Xn);
title('negative signal');
Xn=abs(Xn);
figure(2)
stem(x);
title('orginal signal');
figure(3)
stem(Xp);
title('positive signal');
figure(4)
stem(Xn);
title('abs negative signal');

I want to send the two parts (positive and negative) by combining the two parts in a sequential way.

Best Answer

Like I told you before, https://www.mathworks.com/matlabcentral/answers/439423-sum-first-matrix-and-second-matrix#comment_659789

You can concatenate them if you have reason to,

[Xn, Xp]

but you would need to keep track of the size of at least one of the two if you need to separate them out again.

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MATLAB: Sum first matrix and second matrix

Your Xp and Xn are different lengths. You cannot add them. And if you could, what would the answer mean ?

MATLAB: How to do autocorrelation with audio signal and parameters

To perform correlation between two signals, you can use ‘xcorr’ function.

In ‘xcorr’, if you provide only one input, output will be the autocorrelation of the signal for different lags.

[c,lags] = xcorr(x);

Here, ‘lags’ array stores the amounts of lags by which the signal is delayed, and ‘c’ array stores the corresponding values of the autocorrelation for that value of delays. Hence, after plotting ‘c’ against ‘lags’, you can visualize the values of autocorrelation at different delays.

To get normalized output (i.e. autocorrelation at zero delay will be 1 (max value when two signals are same) and for other delays it will be normalized with respect to this max value), you can use this command

[c,lags] = xcorr(x,'normalized');

Now, in your case if you are trying to find correlation between two versions of the input signal (one is with amplitude r1=0.6 and delay=5 sec and other is with amplitude r2=0.3 and delay=12 sec), then first generate those using ‘delayseq(input, delay, fs)’ function of ‘Phased Array System Toolbox’. Here, ‘delay’ is in seconds and ‘fs’is the sampling frequency.

x1 = delayseq(x,5,8000)  % assuming fs = 8000 Hz and delay = 5 sec
x2 = delayseq(x,12,8000) % assuming fs = 8000 Hz and delay = 12 sec
x1 = 0.6*x1;
x2 = 0.3*x2;

Then you can use ‘xcorr’ function to find correlation between them.

[c,lags] = xcorr(x1,x2);
stem(lags,c);

Hope this will help you.

For more information you can follow these links.

https://www.mathworks.com/help/phased/ref/delayseq.html

https://www.mathworks.com/help/matlab/ref/xcorr.html?searchHighlight=xcorr&s_tid=doc_srchtitle

Best Answer

Related Solutions

MATLAB: Sum first matrix and second matrix

MATLAB: How to do autocorrelation with audio signal and parameters

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