I see, so it's correct to think that: for long (time domain) inputs (with no high frequency components), the frequency spectrum only consists of low frequency sinusoids because those are the only components that 'match' with the signal.
And as another example, a narrow square wave (t-domain)...
You know x(t) and y(t). It's also assumed that it's a linear system. Therefore,
y(t) = x(t) * h(t) (* = convolution)
Also, remember that convolution in one domain (eg time domain) is multiplication in the other domain (eg frequency domain). Therefore,
Y(jw) = X(jw) * H(jw) (* =...
Hey guys,
So I'm trying to intuitively understand the conclusion that a contraction in one domain leads to an expansion in the other domain (and vice-versa). Mathematically, I can see how this would happen, e.g., a bandpass filter with -pi/2 < w < pi/2 would result in a narrower time domain...