Title :
Optimal design of partial-band time-varying systems
Author :
Campbell, W.M. ; Parks, T.W.
Author_Institution :
SSTG, Motorola Inc., Scottsdale, AZ, USA
fDate :
4/1/1997 12:00:00 AM
Abstract :
The design of partial-band linear periodically time-varying systems (PBTV) imitating linear time-invariant (LTI) systems is approached using a relative t2 error criterion. This error criterion results from a natural extension of the Chebyshev error criterion for the design of LTI systems. A complete analysis of the error criterion is presented. An algorithm is introduced which finds a locally optimal solution. This algorithm is based on recent results in nonsmooth optimization. The methods introduced allow the designer to compare as well as design PBTV systems in a systematic and meaningful manner
Keywords :
circuit optimisation; error analysis; filtering theory; time-varying filters; error criterion; linear periodically time-varying systems; locally optimal solution; nonsmooth optimization; optimal design; partial-band time-varying systems; Chebyshev approximation; Computational efficiency; Error analysis; Filtering; Finite impulse response filter; Fourier transforms; Frequency; Helium; Signal sampling; Time varying systems;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on