A new type of adaptive scheme is 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 example involving pulse compression Barker-coded signal is studied for solving the EC filtering problem.
|Journal||Proceedings - IEEE International Symposium on Circuits and Systems|
|Publication status||Published - 3 Dec 2000|
|Event||Proceedings of the IEEE 2000 Internaitonal Symposium on Circuits and Systems - Geneva, Switz|
Duration: 28 May 2000 → 31 May 2000