Signal Processing Toolbox |
Convert digital filter second-order section parameters to state-space form
Syntax
Description
sos2ss
converts a second-order section representation of a given digital filter to an equivalent state-space representation.
converts the system [A,B,C,D] = sos2ss(sos)
sos
, in second-order section form, to a single-input, single-output state-space representation.
The discrete transfer function in second-order section form is given by
sos
is a L-by-6 matrix organized as
The entries of sos
must be real for proper conversion to state space. The returned matrix A
is size N-by-N, where N = 2L-1, B
is a length N-1 column vector, C
is a length N-1 row vector, and D
is a scalar.
converts the system [A,B,C,D] = sos2ss(sos,g)
sos
in second-order section form with gain g
.
Examples
Compute the state-space representation of a simple second-order section system with a gain of 2:
sos=
[1 1 1 1 0 -1; -2 3 1 1 10 1]; [A,B,C,D
]=
sos2ss(sos) A = -10 0 10 1 1 0 0 0 0 1 0 0 0 0 1 0 B = 1 0 0 0 C = 21 2 -16 -1 D = -2
Algorithm
sos2ss
first converts from second-order sections to transfer function using sos2tf
, and then from transfer function to state-space using tf2ss
.
See Also
sos2tf
, sos2zp
, ss2sos
, tf2ss
, zp2ss
sos2cell | sos2tf |
© 1994-2005 The MathWorks, Inc.