Title :
Quadratic filters for signal processing: principles and applications
Author :
Sicuranza, Giovanni L.
Author_Institution :
DEEI, Trieste Univ., Italy
Abstract :
An overview of the principles of quadratic filtering and its applications to the processing of 1-D and M-D signals is presented. Two vector notations are introduced to simplify the expressions of the Volterra kernels, and two corresponding efficient realizations are suggested for finite-support 1-D and M-D quadratic filters. Both realizations exhibit properties of modularity and regularity very suitable for VLSI implementations and permit computational and hardware advantages. The linearity of the output of Volterra filters with respect to the kernel elements allows the extension of the theory of the optimum linear filter to the optimum nonlinear Volterra filter, according to the minimum mean-square error criterion
Keywords :
filtering and prediction theory; signal processing; 1-D signals; M-D signals; VLSI implementations; Volterra kernels; linearity; minimum mean-square error criterion; modularity; optimum nonlinear Volterra filter; quadratic filtering; regularity; signal processing; Filtering; Finite impulse response filter; Fourier transforms; Frequency; IIR filters; Kernel; Matrix decomposition; Nonlinear filters; Polynomials; Signal processing;
Conference_Titel :
Systems Engineering, 1992., IEEE International Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-0734-8
DOI :
10.1109/ICSYSE.1992.236956
