Time average MSE analysis for the first order sigma-delta modulator with the inputs of bandlimited signals

Author

Chen, Wen ; Tellambura, Chintha

Author_Institution

Dept. of Electr. & Comput. Eng., Alberta Univ., Edmonton, Alta., Canada

Volume

4

fYear

2005

fDate

18-23 March 2005

Abstract

Based on experiments and numerical simulation, it has been widely believed that the time average mean square error in the first order sigma-delta modulator with input of bandlimited signals decays like O(λ^-3) as the sampling ratio λ goes to infinity. This conjecture remains as an open problem for many years. Combining tools from number theory, harmonic analysis, real analysis and complex analysis, this paper shows that the conjecture holds in some reasonable sense.

Keywords

bandlimited signals; harmonic analysis; mean square error methods; number theory; numerical analysis; sigma-delta modulation; signal sampling; bandlimited signals; complex analysis; first order sigma-delta modulator; harmonic analysis; mean square error; number theory; numerical simulation; sampling ratio; time average MSE analysis; Buildings; Costs; Delta-sigma modulation; H infinity control; Harmonic analysis; Mean square error methods; Numerical simulation; Quantization; Sampling methods; Signal analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 2005. Proceedings. (ICASSP '05). IEEE International Conference on

ISSN

1520-6149

Print_ISBN

0-7803-8874-7

Type

conf

DOI

10.1109/ICASSP.2005.1416046

Filename

1416046