function y = conv(x, p, q)
f = fft(x);
% --- resize in the FFT domain ---
% add/remove the highest frequency components such that len(f) = len2
len1 = length(f);
len2 = round(len1*p/q);
lby2 = 1+len1/2;
if len2 < len1
% remove some high frequency samples
d = len1-len2;
f = f(:);
f(floor(lby2-(d-1)/2:lby2+(d-1)/2)) = [];
elseif len2 > len1
% add some high frequency zero samples
d = len2-len1;
lby2 = floor(lby2);
f = f(:);
f = [f(1:lby2); zeros(d,1); f(lby2+1:end)];
end
end
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