delayed z-transform partial fraction expansion
Finds the residues, poles, and direct term of a Partial Fraction Expansion of the ratio of two polynomials.
residued(b, a)
b |
coefficients of numerator polynomial |
a |
coefficients of denominator polynomial |
In the usual PFE function residuez, the IIR part (poles p and
residues r) is driven in parallel with the FIR part (f). In
this variant, the IIR part is driven by the output of the FIR part. This
structure can be more accurate in signal modeling applications.
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))
Julius O. Smith III, jos@ccrma.stanford.edu.
Conversion to R by Geert van Boxtel, G.J.M.vanBoxtel@gmail.com
b <- c(2, 6, 6, 2) a <- c(1, -2, 1) resd <- residued(b, a) resz <- residuez(b, a)
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