ss
Convert digital filter to state-space representation
Syntax
Description
Examples
State-Space Representation of a Lowpass IIR Filter
Design a lowpass IIR filter of order 6. Specify a normalized passband frequency of rad/sample. Compute the state-space representation of the filter.
d = designfilt('lowpassiir','FilterOrder',6,'PassbandFrequency',0.2); [A,B,C,D] = ss(d)
A = 6×6
1.5640 -0.9294 0 0 0 0
1.0000 0 0 0 0 0
0.1795 0.0036 1.6097 -0.8112 0 0
0 0 1.0000 0 0 0
0.0020 0.0000 0.0408 0.0021 1.6956 -0.7409
0 0 0 0 1.0000 0
B = 6×1
0.0913
0
0.0046
0
0.0001
0
C = 1×6
0.0020 0.0000 0.0408 0.0021 3.6956 0.2591
D = 5.2030e-05
Input Arguments
d
— Digital filter
digitalFilter
object
Digital filter, specified as a digitalFilter
object. Use designfilt
to generate a digital filter
based on frequency-response specifications.
Example: d =
designfilt('lowpassiir','FilterOrder',3,'HalfPowerFrequency',0.5)
specifies a third-order Butterworth filter with normalized 3 dB frequency 0.5π
rad/sample.
Output Arguments
A
— State matrix
matrix
State matrix, returned as a matrix.
Data Types: double
B
— Input-to-state matrix
matrix
Input-to-state matrix, returned as a matrix.
Data Types: double
C
— State-to-output matrix
matrix
State-to-output matrix, returned as a matrix.
Data Types: double
D
— Feedthrough matrix
matrix
Feedthrough matrix, returned as a matrix.
Data Types: double
Version History
Introduced in R2014a
See Also
designfilt
| digitalFilter
| tf
| zpk
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