Roundoff error analysis of floating-point paraunitary filter banks realized in lattice structure

Author

Zeng, Bing

Author_Institution

Dept. of Electr. & Electron. Eng., Hong Kong Univ., Hong Kong

Volume

4

fYear

1997

fDate

9-12 Jun 1997

Firstpage

2405

Abstract

Floating-point roundoff noise characteristics of two-channel paraunitary filter banks realized in lattice structure are studied in detail in this paper. Under the assumption that all quantization errors are independent WSS white noise with zero-mean, we derive some closed-form formulas to calculate the output roundoff noise variance, involving only the set of lattice parameters. Based on this results, several general and important conclusions can be drawn. In addition, we also present some simulation results to show that the analytical results are accurate enough for practical use

Keywords

digital filters; error analysis; filtering theory; floating point arithmetic; lattice filters; roundoff errors; white noise; closed-form formulas; floating-point paraunitary filter banks; lattice parameters; lattice structure; output roundoff noise variance; quantization errors; roundoff error analysis; roundoff noise characteristics; two-channel filter banks; Analytical models; Channel bank filters; Error analysis; Filter bank; Information analysis; Lattices; Quantization; Roundoff errors; Signal synthesis; White noise;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on

Print_ISBN

0-7803-3583-X

Type

conf

DOI

10.1109/ISCAS.1997.612808

Filename

612808