Title :
Adaptive envelope-constrained filter design
Author :
Tseng, Chien Hsun ; Teo, Kok Lay ; Cantoni, Antonio
Author_Institution :
Australian Telecommun. Res. Inst., Curtin Univ. of Technol., Perth, WA, Australia
Abstract :
A new type of adaptive scheme was proposed recently for designing a deterministic envelope-constrained (EC) filter such that the generated sequence of filters converges to the optimum filter. Previous results at this level of generality linked convergence only to within a neighborhood of the optimum filter. Based on the adaptive scheme, two new theorems are established in a stochastic environment for which the adaptive EC filter converges in mean square sense and with probability one to the noiseless optimum filter for a fixed step-size and a decreasing sequence of step-sizes, respectively. Numerical examples involving pulse compression Barker-coded signal are studied for solving the EC filtering problem
Keywords :
FIR filters; adaptive filters; circuit optimisation; digital filters; EC filtering problem; adaptive envelope-constrained filter design; convergence; decreasing sequence; deterministic envelope-constrained filter; fixed step-size; noiseless optimum filter; pulse compression Barker-coded signal; stochastic environment; Adaptive filters; Additive noise; Australia; Filtering; Finite impulse response filter; Noise figure; Nonlinear filters; Output feedback; Stochastic resonance; Testing;
Conference_Titel :
Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on
Conference_Location :
Geneva
Print_ISBN :
0-7803-5482-6
DOI :
10.1109/ISCAS.2000.858694