flattopwin function

Flat top window

Flat top window

Return the filter coefficients of a flat top window.

flattopwin(n, method = c("symmetric", "periodic"))

Arguments

  • n: Window length, specified as a positive integer.

  • method: Character string. Window sampling method, specified as:

    • "symmetric": (Default). Use this option when using windows for filter design.
    • "periodic": This option is useful for spectral analysis because it enables a windowed signal to have the perfect periodic extension implicit in the discrete Fourier transform. When 'periodic' is specified, the function computes a window of length n + 1 and returns the first n points.

Returns

Flat top window, returned as a vector.

Details

The Flat Top window is defined by the function:

f(w)=11.93cos(2πw)+1.29cos(4πw)0.388cos(6πw)+0.0322cos(8πw) f(w) = 1 - 1.93 cos(2 \pi w) + 1.29 cos(4 \pi w) - 0.388 cos(6 \pi w) +0.0322 cos(8 \pi w)

where w = i/(n-1) for i=0:n-1 for a symmetric window, or w = i/n for i=0:n-1 for a periodic window. The default is symmetric. The returned window is normalized to a peak of 1 at w = 0.5.

Flat top windows have very low passband ripple (< 0.01 dB) and are used primarily for calibration purposes. Their bandwidth is approximately 2.5 times wider than a Hann window.

Examples

ft <- flattopwin(64) plot (ft, type = "l", xlab = "Samples", ylab =" Amplitude")

Author(s)

Paul Kienzle, pkienzle@users.sf.net .

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

  • Maintainer: Geert van Boxtel
  • License: GPL-3
  • Last published: 2024-09-11