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Infinite Impulse Response Filters

Lecture by Prof. Brian L. Evans




Slides by Niranjan Damera-Venkata




Embedded Signal Processing Laboratory
Dept. of Electrical and Computer Engineering
The University of Texas at Austin
Austin, TX 78712-1084







http://signal.ece.utexas.edu

Introduction

Background

Recursive Computation

Recursive Computability

Boundary Conditions

The Transfer Function

\begin{eqnarray*}
H(z_1,z_2) & = & \sum_{n_1}\sum_{n_2}   h[n_1,n_2]   z_1^{-n_1} z_2^{-n_2}
\end{eqnarray*}



Properties of the z-transform

Z-transform of Linear Mappings

Inverse z-transform

\begin{eqnarray*}
x[n_1,n_2]&=&\frac{1}{(2\pi j)^2}
\oint_{c_2}\oint_{c_1}X(z_1,...
...{-1}-bz_2^{-1}} \quad\mbox{$\vert a\vert+\vert b\vert\le1$}\quad
\end{eqnarray*}






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Brian L. Evans