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gsignal

pei_tseng_notch

Pei-Tseng notch filter

Description

Compute the transfer function coefficients of an IIR narrow-band notch filter.

Usage

pei_tseng_notch(w, bw)

Arguments

w

vector of critical frequencies of the filter. Must be between 0 and 1 where 1 is the Nyquist frequency.
bw

vector of bandwidths. Bw should be of the same length as w.

Details

The filter construction is based on an all-pass which performs a reversal of phase at the filter frequencies. Thus, the mean of the phase-distorted and the original signal has the respective frequencies removed.

Value

List of class Arma with list elements:

b

moving average (MA) polynomial coefficients

a

autoregressive (AR) polynomial coefficients

Author(s)

Alexander Klein, alexander.klein@math.uni-giessen.de.
Conversion to R by Geert van Boxtel, G.J.M.vanBoxtel@gmail.com.

References

Pei, Soo-Chang, and Tseng, Chien-Cheng "IIR Multiple Notch Filter Design Based on Allpass Filter"; 1996 IEEE Tencon, doi: doi: 10.1109/TENCON.1996.608814

See Also

Examples

## 50 Hz notch filter
fs <- 256
nyq <- fs / 2
notch <- pei_tseng_notch(50 / nyq, 2 / nyq)
freqz(notch, fs = fs)
gsignal

Signal Processing

v0.3-1
GPL-3
Authors
Geert van Boxtel [aut, cre] (Maintainer), Tom Short [aut] (Author of 'signal' package), Paul Kienzle [aut] (Majority of the original sources), Ben Abbott [ctb], Juan Aguado [ctb], Muthiah Annamalai [ctb], Leonardo Araujo [ctb], William Asquith [ctb], David Bateman [ctb], David Billinghurst [ctb], Juan Pablo Carbajal [ctb], André Carezia [ctb], Vincent Cautaerts [ctb], Eric Chassande-Mottin [ctb], Luca Citi [ctb], Dave Cogdell [ctb], Carlo de Falco [ctb], Carne Draug [ctb], Pascal Dupuis [ctb], John W. Eaton [ctb], R.G.H Eschauzier [ctb], Andrew Fitting [ctb], Alan J. Greenberger [ctb], Mike Gross [ctb], Daniel Gunyan [ctb], Kai Habel [ctb], Kurt Hornik [ctb], Jake Janovetz [ctb], Alexander Klein [ctb], Peter V. Lanspeary [ctb], Bill Lash [ctb], Friedrich Leissh [ctb], Laurent S. Mazet [ctb], Mike Miller [ctb], Petr Mikulik [ctb], Paolo Neis [ctb], Georgios Ouzounis [ctb], Sylvain Pelissier [ctb], Francesco Potortì [ctb], Charles Praplan [ctb], Lukas F. Reichlin [ctb], Tony Richardson [ctb], Asbjorn Sabo [ctb], Thomas Sailer [ctb], Rolf Schirmacher [ctb], Rolf Schirmacher [ctb], Ivan Selesnick [ctb], Julius O. Smith III [ctb], Peter L. Soendergaard [ctb], Quentin Spencer [ctb], Doug Stewart [ctb], P. Sudeepam [ctb], Stefan van der Walt [ctb], Andreas Weber [ctb], P. Sudeepam [ctb], Andreas Weingessel [ctb]
Initial release
2021-05-02

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