Signal Processing Toolbox |
Linear System Transformations
The Signal Processing Toolbox provides a number of functions that convert between the various linear system models; see Function Reference for a complete description of each. You can use the following chart to find an appropriate transfer function: find the row of the model to convert from on the left side of the chart and the column of the model to convert to on the top of the chart and read the function name(s) at the intersection of the row and column.
Note that some cells of this table are empty.
Transfer Function |
State- Space |
Zero- Pole- Gain |
Partial Fraction |
Lattice Filter |
Second- Order Sections |
Convolution Matrix |
|
Transfer Function |
|
|
residuez |
|
none |
|
|
State-Space |
|
|
none |
none |
|
none |
|
Zero-Pole- Gain |
|
|
none |
none |
|
none |
|
Partial Fraction |
|
none |
none |
none |
none |
none |
|
Lattice Filter |
|
none |
none |
none |
none |
none |
|
SOS |
|
|
|
none |
none |
none |
Many of the toolbox filter design functions use these functions internally. For example, the zp2ss
function converts the poles and zeros of an analog prototype into the state-space form required for creation of a Butterworth, Chebyshev, or elliptic filter. Once in state-space form, the filter design function performs any required frequency transformation, that is, it transforms the initial lowpass design into a bandpass, highpass, or bandstop filter, or a lowpass filter with the desired cutoff frequency. See the descriptions of the individual filter design functions in Function Reference, for more details.
Note In the Signal Processing Toolbox, all second-order section transformations apply only to digital filters. |
Continuous-Time System Models | Discrete Fourier Transform |
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