ellip  R Documentation 
Generate an Elliptic or Cauer filter (discrete and continuous).
## Default S3 method:
ellip(n, Rp, Rs, W, type = c("low", "high", "stop",
"pass"), plane = c("z", "s"), ...)
## S3 method for class 'FilterOfOrder'
ellip(n, Rp = n$Rp, Rs = n$Rs, W = n$Wc, type = n$type, ...)
n 
filter order or generic filter model 
Rp 
dB of pass band ripple 
Rs 
dB of stop band ripple 
W 
critical frequencies of the filter. 
type 
Filter type, one of 
plane 

... 
additional arguments passed to 
Because ellip
is generic, it can be extended to accept other
inputs, using "ellipord"
to generate filter criteria for example.
An Arma
object with list elements:
b 
moving average (MA) polynomial coefficients 
a 
autoregressive (AR) polynomial coefficients 
Original Octave version by Paulo Neis p_neis@yahoo.com.br. Modified by Doug Stewart. Conversion to R by Tom Short.
Oppenheim, Alan V., Discrete Time Signal Processing, Hardcover, 1999.
Parente Ribeiro, E., Notas de aula da disciplina TE498  Processamento Digital de Sinais, UFPR, 2001/2002.
https://en.wikipedia.org/wiki/Elliptic_filter
Octave Forge https://octave.sourceforge.io/
Arma
, filter
, butter
,
cheby1
, and ellipord
# compare the frequency responses of 5thorder Butterworth and elliptic filters.
bf < butter(5, 0.1)
ef < ellip(5, 3, 40, 0.1)
bfr < freqz(bf)
efr < freqz(ef)
plot(bfr$f, 20 * log10(abs(bfr$h)), type = "l", ylim = c(50, 0),
xlab = "Frequency, radians", ylab = c("dB"))
lines(efr$f, 20 * log10(abs(efr$h)), col = "red")
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