Sub-Nyquist Nonuniform Sampling and Perfect Reconstruction of Speech Signals

Author

Lee, Heyoung ; Bien, Zeungnam

Author_Institution

Dept. of Control & Instrum. Eng., Seoul Nat. Univ. of Technol., Seoul

fYear

2005

fDate

21-24 Nov. 2005

Firstpage

1

Lastpage

6

Abstract

The discrete-time speech signals obtained by Nyquist uniform sampling (NUS) have two kinds of redundant samples. One originates from the time-varying instantaneous bandwidth. The other originates from non-compactness of spectral support (SS) in time-frequency domain (TFD). In this paper, the sub- Nyquist nonuniform sampling (SNNS) and the perfect reconstruction (PR) formula are proposed for removing the redundant samples due to the time-varying instantaneous bandwidth (IB) in speech signals. In the proposed method, the instantaneous sampling frequency (ISF) varies, depending on the least upper boundary of spectral support of a speech signal in TFD. The definition of the IB, which determines the ISF and is used for generating the set of samples that represent continuous- time signals perfectly, is given.

Keywords

signal reconstruction; signal sampling; speech processing; time-frequency analysis; discrete-time speech signals; instantaneous sampling frequency; perfect reconstruction; redundant sample removal; sub-Nyquist nonuniform sampling; time-frequency domain; time-varying instantaneous bandwidth; Bandwidth; Data mining; Frequency domain analysis; Nonuniform sampling; Sampling methods; Signal generators; Signal processing; Signal sampling; Speech analysis; Time frequency analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

TENCON 2005 2005 IEEE Region 10

Conference_Location

Melbourne, Qld.

Print_ISBN

0-7803-9311-2

Electronic_ISBN

0-7803-9312-0

Type

conf

DOI

10.1109/TENCON.2005.301244

Filename

4085354