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Conversion of second-order sections to transfer function.
Syntax
[b,a] = sos2tf(sos) [b,a] = sos2tf(sos,g)
Description
sos2tf converts a second-order section representation of a given system to an equivalent transfer function representation.
[b,a] = sos2tf(sos)
returns the numerator coefficients b and denominator coefficients a of the transfer function that describes a discrete-time system given by sos in second-order section form. The second-order section format of H(z) is given by
sos is an L-by-6 matrix that contains the coefficients of each second-order section stored in its rows:
b and a contain the numerator and denominator coefficients of H(z) stored in descending powers of z:
[b,a] = sos2tf(sos,g)
returns the transfer function that describes a discrete-time system given by sos in second-order section form with gain g:
Algorithm
sos2tf uses the conv function to multiply all of the numerator and denominator second-order polynomials together.
Example
Compute the transfer function representation of a simple second-order section system:sos = [1 1 1 1 0 -1; -2 3 1 1 10 1];
[b,a] = sos2tf(sos)
b =
-2 1 2 4 1
a =
1 10 0 -10 -1
See Also
latc2tf |
Lattice filter to transfer function conversion. |
sos2ss |
Conversion of second-order sections to state-space. |
sos2zp |
Conversion of second-order sections to zero-pole-gain. |
ss2tf |
Conversion of state-space to transfer function. |
tf2sos |
Conversion of transfer function to second-order sections. |
zp2tf |
Conversion of zero-pole-gain to transfer function. |