function [ y ] = convolve2(x, h)
% This function utilizes the convolution theorem and the FFT.
% First the input vectors are padded with 0's to be the same length. Then
% they undergo the FFT. the resultant vectors are multiplied and the final
% result undergoes the inverse FFT.

a = [x, zeros(1,length(h)-1)];
b = [h, zeros(1,length(x)-1)];
c = fft(a);
d = fft(b);
y = c.*d;
y = ifft(y);

end