Title :
General ℒ(p,q)-metric estimator of arbitrary complex impulsive interference in linear systems
Author :
Shen, Jun ; Nikias, Chrysostomos L.
Author_Institution :
Amati Commun. Corp., San Jose, CA., USA
fDate :
3/1/1998 12:00:00 AM
Abstract :
A general L(p,q)-metric p, q>0 on a probability space is defined, and the corresponding optimality criterion is derived. This criterion is applied to the problem of complex impulsive interference estimation in linear systems represented by scalar state-space equations. The closed-form expression of the a posteriori density of the state (interference) is computed recursively for both arbitrary i.i.d. state noise and any discrete-type measurement noise (multilevel complex signal). Optimal L(p,q)-metric interference estimators based on different values of p and q are developed. As a test, the proposed algorithms are applied to estimate highly impulsive state processes driven by noise with symmetric α-stable distribution
Keywords :
interference suppression; linear systems; noise; optimisation; parameter estimation; probability; state-space methods; statistical analysis; a posteriori density; algorithms; closed-form expression; communication receivers; complex impulsive interference estimation; discrete-type measurement noise; i.i.d. state noise; impulsive interference cancellation; impulsive state processes; interference estimators; linear systems; multilevel complex signal; optimality criterion; probability space; scalar state-space equations; symmetric α-stable distribution; Closed-form solution; Density functional theory; Equations; Exponential distribution; Extraterrestrial measurements; Gaussian noise; Interference; Linear systems; Noise measurement; State estimation;
Journal_Title :
Signal Processing, IEEE Transactions on
