Combine multiplication filter in time and frequency domain

Hello, I perform a FFT on my signal x, which yields X. Then I perform a multiplication in the frequency with my filter W, which yields the new signal A= X.*Y I perform a IFFT and get a. On a I do a multiplication with filter b to get the wanted signal c= a.*b

Is there a good way to combine these steps to get c from x in a faster way? Because I need to perform several of these. I know my filters, so they can be precalculated.

Answer 1

[Star Strider]

That is not a reliable method to do frequency domain filtering.

Use the Signal Processing Toolbox fftfilt function instead.