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IIR Example

Figure 5.8 plots an IIR filter example for the filter

$\displaystyle y(n) = x(n) + 0.99\, y(n-1).
$

The previous matlab is modified as follows:
      Nh = 300; % APPROXIMATE filter length (visually in plot)
      B = 1; A = [1 -0.99]; % One-pole recursive example
      ...       % otherwise as above for the FIR example
The decay time for this recursive filter was arbitrarily marked at 300 samples (about three time-constants of decay).

Figure 5.8: Example transient, steady-state, and decay responses for an IIR ``one-pole'' filter driven by a gated sinusoid.
\includegraphics{eps/xientdemor1}
Input Signal

\includegraphics{eps/xientdemor2}
Filter Output Signal


Previous: FIR Example
Next: Transient and Steady-State Signals

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About the Author: Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.


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