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Finds the residues, poles, and direct term of a Partial Fraction Expansion of the ratio of two polynomials.
residuez(b, a)A list containing
vector of filter pole residues of the partial fraction
vector of partial fraction poles
vector containing FIR part, if any (empty if length(b) <
length(a))
coefficients of numerator polynomial
coefficients of denominator polynomial
Julius O. Smith III, jos@ccrma.stanford.edu.
Conversion to R by Geert van Boxtel, G.J.M.vanBoxtel@gmail.com
residuez converts a discrete time system, expressed as the ratio of
two polynomials, to partial fraction expansion, or residue, form.
residue, residued
b0 <- 0.05634
b1 <- c(1, 1)
b2 <- c(1, -1.0166, 1)
a1 <- c(1, -0.683)
a2 <- c(1, -1.4461, 0.7957)
b <- b0 * conv(b1, b2)
a <- conv(a1, a2)
res <- residuez(b, a)
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