chebwin function

Chebyshev window

Return the filter coefficients of a Dolph-Chebyshev window.

chebwin(n, at = 100)

Arguments

• n: Window length, specified as a positive integer.
• at: Stop-band attenuation in dB. Default: 100.

Returns

Chebyshev window, returned as a vector. If you specify a one-point window (n = 1), the value 1 is returned.

Details

The window is described in frequency domain by the expression:

with

and and $Cheb(m, x)$ denoting the $m$-th order Chebyshev polynomial calculated at the point $x$.

Note that the denominator in W(k) above is not computed, and after the inverse Fourier transform the window is scaled by making its maximum value unitary.

Examples

cw <- chebwin(64)
plot (cw, type = "l", xlab = "Samples", ylab =" Amplitude")

Author(s)

André Carezia, acarezia@uol.com.br .

Conversion to R by Geert van Boxtel, G.J.M.vanBoxtel@gmail.com .