Zero pole gain model
Create an zero pole gain model of an ARMA filter, or convert other forms to a Zpg model.
Zpg(z, p, g) as.Zpg(x, ...) ## S3 method for class 'Arma' as.Zpg(x, ...) ## S3 method for class 'Ma' as.Zpg(x, ...) ## S3 method for class 'Sos' as.Zpg(x, ...) ## S3 method for class 'Zpg' as.Zpg(x, ...)
z |
complex vector of the zeros of the model. |
p |
complex vector of the poles of the model. |
g |
overall gain of the model. |
x |
model to be converted. |
... |
additional arguments (ignored). |
as.Zpg converts from other forms, including Arma and Ma.
A list of class Zpg with the following list elements:
complex vector of the zeros of the model
complex vector of the poles of the model
gain of the model
Tom Short, tshort@eprisolutions.com,
adapted by Geert van Boxtel, gjmvanboxtel@gmail.com.
See also Arma
## design notch filter at pi/4 radians = 0.5/4 = 0.125 * fs w = pi/4 # 2 poles, 2 zeros # zeroes at r = 1 r <- 1 z1 <- r * exp(1i * w) z2 <- r * exp(1i * -w) # poles at r = 0.9 r = 0.9 p1 <- r * exp(1i * w) p2 <- r * exp(1i * -w) zpg <- Zpg(c(z1, z2), c(p1, p2), 1) zplane(zpg) freqz(zpg) ## Sharper edges: increase distance between zeros and poles r = 0.8 p1 <- r * exp(1i * w) p2 <- r * exp(1i * -w) zpg <- Zpg(c(z1, z2), c(p1, p2), 1) zplane(zpg) freqz(zpg)
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