cheby1  R Documentation 
Generate a Chebyshev type I or type II filter coefficients with specified dB of pass band ripple.
## Default S3 method:
cheby1(n, Rp, W, type = c("low", "high", "stop",
"pass"), plane = c("z", "s"), ...)
## S3 method for class 'FilterOfOrder'
cheby1(n, Rp = n$Rp, W = n$Wc, type = n$type, ...)
## Default S3 method:
cheby2(n, Rp, W, type = c("low", "high", "stop",
"pass"), plane = c("z", "s"), ...)
## S3 method for class 'FilterOfOrder'
cheby2(n, ...)
n 
filter order or generic filter model 
Rp 
dB of pass band ripple 
W 
critical frequencies of the filter. 
type 
Filter type, one of 
plane 

... 
additional arguments passed to 
Because cheby1
and cheby2
are generic, they can be extended to accept other
inputs, using "cheb1ord"
to generate filter criteria for example.
An Arma
object with list elements:
b 
moving average (MA) polynomial coefficients 
a 
autoregressive (AR) polynomial coefficients 
For cheby1
, the ARMA model specifies a typeI Chebyshev filter,
and for cheby2
, a typeII Chebyshev filter.
Original Octave version by Paul Kienzle pkienzle@user.sf.net. Modified by Doug Stewart. Conversion to R by Tom Short.
Parks & Burrus (1987). Digital Filter Design. New York: John Wiley & Sons, Inc.
https://en.wikipedia.org/wiki/Chebyshev_filter
Octave Forge https://octave.sourceforge.io/
Arma
, filter
, butter
,
ellip
, and cheb1ord
# compare the frequency responses of 5thorder Butterworth and Chebyshev filters.
bf < butter(5, 0.1)
cf < cheby1(5, 3, 0.1)
bfr < freqz(bf)
cfr < freqz(cf)
plot(bfr$f/pi, 20 * log10(abs(bfr$h)), type = "l", ylim = c(40, 0),
xlim = c(0, .5), xlab = "Frequency", ylab = c("dB"))
lines(cfr$f/pi, 20 * log10(abs(cfr$h)), col = "red")
# compare type I and type II Chebyshev filters.
c1fr < freqz(cheby1(5, .5, 0.5))
c2fr < freqz(cheby2(5, 20, 0.5))
plot(c1fr$f/pi, abs(c1fr$h), type = "l", ylim = c(0, 1),
xlab = "Frequency", ylab = c("Magnitude"))
lines(c2fr$f/pi, abs(c2fr$h), col = "red")
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