Title :
On unitary transform approximations
Author :
De Queiroz, Ricardo L.
Author_Institution :
Xerox Webster Res. Center, NY, USA
Abstract :
In this letter, we present a method to find a unitary transform which is the closest to a given square transform matrix in the sense of minimizing the variance of the output error (discrepancy) for given signal statistics. An extension of the result to frequency responses of filterbank transfer matrices is also given along with an example to demonstrate the feasibility of the method.
Keywords :
approximation theory; filtering theory; frequency response; matrix algebra; minimisation; signal processing; transforms; filterbank transfer matrices; frequency responses; output error variance minimization; signal statistics; square transform matrix; unitary transform approximations; Adaptive filters; Autocorrelation; Costs; Error analysis; Filter bank; Frequency; Image coding; Matrix decomposition; Singular value decomposition; Statistics;
Journal_Title :
Signal Processing Letters, IEEE
