Title :
Optimal matrix-filter design
Author :
Vaccaro, Richard J. ; Harrison, Brian F.
Author_Institution :
Dept. of Electr. Eng., Rhode Island Univ., Kingston, RI, USA
fDate :
3/1/1996 12:00:00 AM
Abstract :
A matrix filter produces N output values given a block of N input values. Matrix filters are particularly useful for filtering short data records (e.g. N⩽20). We introduce a new set of matrix-filter design criteria and show that the design of a matrix filter can be formulated as a convex optimization problem. Several examples are given of lowpass and bandpass designs as well as a Hilbert transformer design
Keywords :
Hilbert transforms; band-pass filters; circuit optimisation; digital filters; filtering theory; low-pass filters; matrix algebra; Hilbert transformer design; bandpass filter; convex optimization problem; digital filters; lowpass filter; matrix filters; optimal matrix-filter design; short data records filtering; Band pass filters; Constraint optimization; Design optimization; Filtering; Frequency response; Matched filters; Nonlinear filters; Passband; Subspace constraints; Symmetric matrices;
Journal_Title :
Signal Processing, IEEE Transactions on
