What is the sampling frequency after convolution?

Hi!

I have two time domain signals with different sampling frequency. I want to calculate the convolution of the two signals with conv and I am wondering, what is the sampling frequency of the result of the convolution? On other forums I found, that before convolution I should resample one of the signals so they have the same sampling frequency, but in other places they wrote that there is no need for that. So is colvolving siglas with different sampling frequencies right? (Why?) If it is, how I calculate the sampling frequency of the convolved signal?

Answer 1

[Matt J]

I want to calculate the convolution of the two signals with conv

If you want to convolve with conv() then the signals definitely have to be resampled at a common set of equi-spaced discrete time points.

If you were to implement the convolution as multiplication in the frequency domain, I can see how you might get around this by zero padding each signal to a common duration T. This would ensure that the spectra of both signals are sampled (after taking FFTs) at a common frequency sampling interval.

[Csanad Levente Balogh]

Thank you!