Coding gain in paraunitary analysis/synthesis systems

Author

Soman, Anand K. ; Vaidyanathan, P.P.

Author_Institution

Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA

Volume

41

Issue

5

fYear

1993

fDate

5/1/1993 12:00:00 AM

Firstpage

1824

Lastpage

1835

Abstract

A formal proof that bit allocation results hold for the entire class of paraunitary subband coders is presented. The problem of finding an optimal paraunitary subband coder, so as to maximize the coding gain of the system, is discussed. The bit allocation problem is analyzed for the case of the paraunitary tree-structured filter banks, such as those used for generating orthonormal wavelets. The even more general case of nonuniform filter banks is also considered. In all cases it is shown that under optimal bit allocation, the variances of the errors introduced by each of the quantizers have to be equal. Expressions for coding gains for these systems are derived

Keywords

encoding; filtering and prediction theory; signal processing; signal synthesis; coding gain; error variance; nonuniform filter banks; optimal bit allocation; paraunitary analysis/synthesis systems; paraunitary subband coders; paraunitary tree-structured filter banks; quantizers; Bit rate; Encoding; Filter bank; Filtering; Finite impulse response filter; Image reconstruction; Pulse modulation; Signal synthesis; Transform coding; Vectors;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.215302

Filename

215302