#### Problem Formulation

(5.52) |

where , , and . Hence we have,

(5.53) |

which can be written as

(5.54) |

or

(5.55) |

which is written in terms of only

*real*variables.

In summary, we can use the standard least-squares solvers in matlab
and end up with a *real* solution for the case of complex desired
spectra and nonlinear-phase FIR filters.

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Matlab Support for Least-Squares FIR Filter Design