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

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

[Walter Roberson]

What have you tried so far?

http://www.mathworks.com/matlabcentral/answers/6200-tutorial-how-to-ask-a-question-on-answers-and-get-a-fast-answer

[Christian Witte]

All those things, here is what I have:

function [xe,xo] = components(t,x)
%if size(t) ~= size(x)
 %   disp('*** ERROR in Component_even.  The inputs t and x do not ahve the same length.');
  %  return
%end
if length(t) <= 1
    disp('*** ERROR in Components. The inputs t and x must have more than one point.');
    return
end
if any(imag(x) ~= 0)
    error('x is not a real sequence')
end
xe = 0.5*(x + fliplr(x));
xo = 0.5*(x - fliplr(x));
xt = xo + xe;
end

[Walter Roberson]

In order to "return the empty vector" you need to assign something to the output variables xe and xo

Be careful: size(t) ~= size(x) would be an error if the two did not have the same number of dimensions.

I would normally tend to think that the "even" components of a signal are the ones at index 2, 4, 6, 8, and so on, but if that were the situation, it would not appear to make sense for there to be a t input. I do not understand about "Each output vector xe and xo are paired with the input vector t to form a signal." -- in order to do that, xe and xo would each have to be the same length as t, whereas we know that xe and xo are some kind of subsets of the inputs and the length of t must match the length of the x input. The question is also not clear as to what should be done if the lengths of t and x are odd. The bit about t needing to have at least two points would tend to suggest that the person who wrote the question was expecting only even lengths.

[Christian Witte]

Size(t) ~= size(x) is supposed to give an error if they are different lengths.

Also, you could have 2,3,4,5,... number of points, so they could be either even or odd. Apparently, this is only supposed to be about 3 lines of code. I’m thinking maybe I’m supposed to input the equations for xe/xo but that wouldn’t make sense.

[Walter Roberson]

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

1. 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
2. set xe to x([2 4 6 8 ....]) and xo to x([1 3 5 7 9 ...])

[David Goodmanson]

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.

Answer 1

[Nishant Gupta]

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

[Priti Gujar]

How we can write this code in python

Answer 2

[Rakesh Paritala]

clc;
clear all;
close all;
x=input("enter the values");
n=0:length(x)-1;
n1=(1-length(x))*0.5:(length(x)-1)*0.5;
y=flip(x);
y
x
x_e=(x+y)*0.5;
x_e
x_o=(x-y)*0.5;
x_o
subplot(311)
stem(n1,x);
title('ACTUAL SIGNAL');
subplot(312)
stem(n1,x_e);
title('EVEN SIGNAL');
subplot(313)
stem(n1,x_o);
title('ODD SIGNAL');