### More General Real FIR Filters

So far we have looked at the design of linear phase filters. In this case, , and 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 ( complex), and the matrix 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