#### 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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Chebyshev Polynomials