# plot summation of shifted discrete signals

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ayman daraghmah on 16 Sep 2015
Commented: Nguyen Hong Son on 17 Apr 2020
n=-4:2;
y=[1,-2,4,6,-5,8,10];
n=n-2
stem(n,y);
I want to plot Z = y(n-2)+y(n+1);

Hamoon on 17 Sep 2015
Edited: Hamoon on 17 Sep 2015
n=-4:2;
y=[1,-2,4,6,-5,8,10];
maxShift = 10; % maximum shift that you may want,
% you can't shift more than this value,
% you should set this value high enough
% I could set it to be 2 here, but I prefer 10
n=min(n)-maxShift:1:max(n)+maxShift; % define proper range for n
y=[zeros(1,maxShift), y, zeros(1,maxShift)]; % add zeros to the begining and
% end of y
z= circshift(y',-2) + circshift(y',1); % calculate your new signal. you need
% transpose of y ==> y'
##### 2 CommentsShowHide 1 older comment
Nguyen Hong Son on 17 Apr 2020
Excuse me. Can I ask you why we can use circular shift to compute operations of shifted discrete signals? (I can't have the intuition or visualization of it)
Why do we need the transpose of y in the last line of code?
Thank you so much!