More General Real FIR Filters

So far we have looked at the design of linear phase filters. In this case, $ \mathbf {A}$ , $ {\underline{h}}$ and $ {\underline{d}}$ are all real. In some applications, we need to specify both the magnitude and phase of the frequency response. Examples include

In general, these all involve complex desired frequency-response samples ( $ {\underline{d}}$ complex), and the matrix $ \mathbf {A}$ remains a more general Fourier transform matrix that cannot be reduced to a matrix of cosines.

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Nonlinear-Phase FIR Filter Design
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Chebyshev FIR Design via Linear Programming