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+% Generated by roxygen2: do not edit by hand
+% Please edit documentation in R/poly.R
+\name{idpoly}
+\alias{idpoly}
+\title{Polynomial model with identifiable parameters}
+\usage{
+idpoly(A = 1, B = 1, C = 1, D = 1, F1 = 1, ioDelay = 0, Ts = 1,
+  noiseVar = 1, intNoise = F, unit = c("seconds", "minutes", "hours",
+  "days")[1])
+}
+\arguments{
+\item{A}{autoregressive coefficients}
+
+\item{B, F1}{coefficients of the numerator and denominator respectively
+of the deterministic model between the input and output}
+
+\item{C, D}{coefficients of the numerator and denominator respectively
+of the stochastic model}
+
+\item{ioDelay}{the delay in the input-output channel}
+
+\item{Ts}{sampling interval}
+
+\item{noiseVar}{variance of the white noise source (Default=\code{1})}
+
+\item{intNoise}{Logical variable indicating presence or absence of integrator
+in the noise channel (Default=\code{FALSE})}
+
+\item{unit}{time unit (Default=\code{"seconds"})}
+}
+\description{
+Creates a polynomial model with identifiable coefficients
+}
+\details{
+Discrete-time polynomials are of the form
+\deqn{
+ A(q^{-1}) y[k] = \frac{B(q^{-1})}{F1(q^{-1})} u[k] + 
+ \frac{C(q^{-1})}{D(q^{-1})} e[k] 
+}
+}
+\examples{
+# define output-error model
+mod_oe <- idpoly(B=c(0.6,-0.2),F1=c(1,-0.5),ioDelay = 2,Ts=0.1,
+noiseVar = 0.1)
+
+# define box-jenkins model with unit variance
+B <- c(0.6,-0.2)
+C <- c(1,-0.3)
+D <- c(1,1.5,0.7)
+F1 <- c(1,-0.5)
+mod_bj <- idpoly(1,B,C,D,F1,ioDelay=1)
+
+}
+