#### Dolph-Chebyshev Window Definition

Let denote the desired window length. Then the zero-phase Dolph-Chebyshev window is defined in the frequency domain by [155]

(4.48) |

where is defined by the desired ripple specification:

(4.49) |

where is the ``main lobe edge frequency'' defined by

(4.50) |

Expanding in terms of complex exponentials yields

(4.51) |

where . Thus, the coefficients give the length Dolph-Chebyshev window in zero-phase form.

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Dolph-Chebyshev Window Main-Lobe Width

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Chebyshev Polynomials