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The fourier domain is just a linear transform of the time domain, i.e. just a matrix multiply away!
by unlikelymordant 3y ago
The fourier domain is just a linear transform of the time domain, i.e. just a matrix multiply away!
- datameta 3y agoCould you expand please? I'm connecting the two via convolution but can't intuitively grasp the link yet.
- bumby 3y agoSee “Laplace transform” https://en.m.wikipedia.org/wiki/Laplace_transform https://en.m.wikipedia.org/wiki/Laplace_transform
- unlikelymordant 3y agoThe fourier transform converts between time domain and frequency domain. The fourier transform is linear, which means it can be implemented as multiplying your time domain signal by a matrix of complex fourier coefficients. Usually we dont do it this way because the fft is faster than matrix multplication, but the result is the same.