Chebyshev window
Return the filter coefficients of a Dolph-Chebyshev window.
chebwin(n, at = 100)
n |
Window length, specified as a positive integer. |
at |
Stop-band attenuation in dB. Default: 100. |
The window is described in frequency domain by the expression:
Cheb(m - 1, Beta * cos(\pi * k / m))
W(k) = ------------------------------------
Cheb(m - 1, Beta)with
Beta = cosh(1 / (m - 1) * acosh(10^(at / 20))
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.
Chebyshev window, returned as a vector. If you specify a one-point
window (n = 1), the value 1 is returned.
André Carezia, acarezia@uol.com.br.
Conversion to R by Geert van Boxtel, G.J.M.vanBoxtel@gmail.com.
cw <- chebwin(64) plot (cw, type = "l", xlab = "Samples", ylab =" Amplitude")
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