Matlab State-Space Filter Conversion Example

Here is the example of §F.6 repeated using matlab.^G.9 The difference equation

corresponds to the transfer function

so that in matlab the filter is represented by the vectors

NUM = [0  1   1    0   ]; % NUM and DEN should be same length
DEN = [1 -0.5 0.1 -0.01];

The tf2ss function converts from ``transfer-function'' form to state-space form:

 [A,B,C,D] = tf2ss(NUM,DEN)
A =
   0.00000   1.00000   0.00000
   0.00000   0.00000   1.00000
   0.01000  -0.10000   0.50000

B =
  0
  0
  1

C =
  0  1  1 

D = 0

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written by 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.