Will the resulting ABCD matrix from function tf2ss(bf,af), with bf & af defined for a complex filter, work for complex "state"?

2 views (last 30 days)
A complex filter is whose impulse response is complex valued, and its transfer function in spectral domain could be asymmetric with respect to DC (0 hertz frequency). Let's say bf is the numerator and af is the denominator of this complex filter's transfer function in z-domain already. For example, Hd = (0.007823+6.136e-05i)/(z - (0.9921+0.01558i)),[A,B,C,D] = tf2ss(Hd.Numerator{:},Hd.Denominator{:}) will yield A = 0.9921 + 0.0156i, B = 1, C = 0.0078 + 0.0001i, and D = 0. Can I trust this ABCD matrix will work for the state equations: y(k) = C*x+D*u(k), x=A*x+B*u(k), with x,y and u all being complex valued numbers?

Sign in to comment.

Answers (0)

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!