Goertzel implementations of the forward and inverse modified discrete cosine transform

Author

Fox, Trevor W. ; Carriera, Alex

Volume

4

fYear

2004

Firstpage

2371

Abstract

The paper suggests the use of Goertzel digital filters to calculate the forward and inverse modified discrete cosine transform (MDCT). The forward and inverse MDCT are expressed as a discrete-time convolution sum and three Goertzel digital filter structures (Goertzel MDCT A, B and C) are obtained from the discrete-time convolution sum. These new recursive algorithms require fewer arithmetic operations and are less sensitive to coefficient quantization error than previous recursive MDCT algorithms. The algorithms proposed are well suited for low-cost fixed-point VLSI implementations.

Keywords

VLSI; convolution; digital arithmetic; digital filters; discrete cosine transforms; filtering theory; quantisation (signal); recursive filters; signal flow graphs; Goertzel digital filters; arithmetic operations; coefficient quantization error; discrete-time convolution sum; fixed-point VLSI implementations; inverse discrete cosine transform; inverse modified discrete cosine transform; recursive algorithms; signal flow graph; Adders; Audio coding; Convolution; Digital filters; Discrete cosine transforms; Equations; Floating-point arithmetic; Hardware; Quantization; Very large scale integration;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical and Computer Engineering, 2004. Canadian Conference on

ISSN

0840-7789

Print_ISBN

0-7803-8253-6

Type

conf

DOI

10.1109/CCECE.2004.1347723

Filename

1347723