how to write a function that outputs even and odd components of a signal.

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Christian Witte 2019-9-6

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评论： Priti Gujar 2022-4-3

How to create a matlab function that has the following form: function [xe,xo] = components(t,x) which takes in the signal defined by the pair of vectors {t,x} and outputs both the even component of the signal with samples vector xe and the odd component of the signal with samples vector xo. Each output vector xe and xo are paired with the input vector t to form a signal. If the vectors t and x are not the same length, return an empty vector for xe and xo. If the length of t is less than 2, you should also return an empty vector for xe and xo. Thanks

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Walter Roberson 2019-9-6

When I read the question, it is sloppy enough that I suspect the solution being looked for is:

Check the input conditions and return [] and [] for anything the question defines as being an error. No error messages should be issued -- not even if the number of dimensions of t and x are not the same
set xe to x([2 4 6 8 ....]) and xo to x([1 3 5 7 9 ...])

David Goodmanson 2019-9-6

在 MATLAB Online 中打开

Possibly what is intended is

xe = x(t) + x(-t)
xo = x(t) - x(-t)

although this is only going to work if the t matrix has an odd number of elements with t = 0 right in the middle.

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采纳的回答

Nishant Gupta 2019-9-9

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https://ww2.mathworks.cn/matlabcentral/answers/479242-how-to-write-a-function-that-outputs-even-and-odd-components-of-a-signal#answer_391028

在 MATLAB Online 中打开

Hi Christian,

As you have not mentioned any input vector, so I am assuming the input as a random vector and the function created is as follows:

t=-10:10; %vector time
x=rand(1,numel(t)); % Your signal
components(t,x);
%function to output even and odd component
function [xe,xo] = components(t,x)  
x_reverse = fliplr(x);% time reversal
xe = 0.5*(x + x_reverse); %even component
xo = 0.5*(x - x_reverse); %odd component
subplot(3,1,1);
plot(t,x);
title('Your signal x')
subplot(3,1,2); 
plot(t,xe);
title('Even part');
subplot(3,1,3);
plot(t,xo);
title('Odd part');
end