Title :
Optimal design of multirate systems with constraints
Author :
Campbell, W.M. ; Parks, T.W.
Author_Institution :
Motorola Inc., Scottsdale, AZ, USA
Abstract :
The design of constrained multirate systems using a relative l2 error criterion is considered. A general algorithm is proposed to solve the problem. One application of the algorithm is the design of a new class of multirate filters for signal decomposition-projection filters. These multirate systems are projection operators that optimally approximate linear time-invariant filters in the l2 norm. A second application of constrained multirate filter design is also presented-optimal design of multistage multirate systems. Examples illustrate the new design method and its advantages over design methods intended for linear time-invariant systems
Keywords :
approximation theory; digital filters; error analysis; mathematical operators; signal processing; constrained multirate filter design; constrained multirate systems; l2 norm; linear time-invariant filters; linear time-invariant systems; multistage multirate systems; optimal design; projection operators; relative l2 error criterion; signal decomposition-projection filters; Algorithm design and analysis; Chebyshev approximation; Design methodology; Filter bank; Finite impulse response filter; Image reconstruction; Linear approximation; Matrix decomposition; Nonlinear filters; Signal design;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference on
Conference_Location :
Munich
Print_ISBN :
0-8186-7919-0
DOI :
10.1109/ICASSP.1997.599353
