Title :
Invertibility of sampled data systems
Author :
Bai, Er-Wei ; Ding, Zhi
Author_Institution :
Dept. of Electr. & Comput. Eng., Iowa Univ., Iowa City, IA, USA
fDate :
3/1/2000 12:00:00 AM
Abstract :
In this paper, we study the invertibility of a sampled data system. Necessary and sufficient invertibility conditions are given explicitly in terms of transfer function zeros. It is shown that many systems including those with “unstable” zeros or those with more inputs than outputs are in fact stably invertible. Detailed design procedures to achieve the system inverse are given. A minimum sensitivity inverse with respect to under-modeling and noise is also provided in the paper
Keywords :
FIR filters; IIR filters; MIMO systems; filtering theory; linear systems; poles and zeros; sampled data systems; transfer functions; MIMO system; SISO FIR system; SISO IIR system; design procedures; invertibility conditions; minimum sensitivity inverse; sampled data systems; system inverse; transfer function zeros; Delay; Distortion measurement; Heat transfer; History; Inverse problems; Pollution measurement; Sampled data systems; Sampling methods; Temperature measurement; Transfer functions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on