Sub-nyquist nonuniform sampling and perfect reconstruction of speech signals

Heyoung Lee; Zeungnam Bien

doi:10.1109/TENCON.2005.301244

Sub-nyquist nonuniform sampling and perfect reconstruction of speech signals

Heyoung Lee
, Zeungnam Bien

Dept. of Electrical and Information Engineering

Korea Advanced Institute of Science and Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

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.

Original language	English
Title of host publication	TENCON 2005 - 2005 IEEE Region 10 Conference
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Print)	0780393112, 9780780393110
DOIs	https://doi.org/10.1109/TENCON.2005.301244
State	Published - 2005
Event	TENCON 2005 - 2005 IEEE Region 10 Conference - Melbourne, Australia Duration: 21 Nov 2005 → 24 Nov 2005

Publication series

Name	IEEE Region 10 Annual International Conference, Proceedings/TENCON
Volume	2007
ISSN (Print)	2159-3442
ISSN (Electronic)	2159-3450

Conference

Conference	TENCON 2005 - 2005 IEEE Region 10 Conference
Country/Territory	Australia
City	Melbourne
Period	21/11/05 → 24/11/05

Access to Document

10.1109/TENCON.2005.301244

Cite this

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title = "Sub-nyquist nonuniform sampling and perfect reconstruction of speech signals",

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.",

author = "Heyoung Lee and Zeungnam Bien",

year = "2005",

doi = "10.1109/TENCON.2005.301244",

language = "English",

isbn = "0780393112",

series = "IEEE Region 10 Annual International Conference, Proceedings/TENCON",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "TENCON 2005 - 2005 IEEE Region 10 Conference",

note = "TENCON 2005 - 2005 IEEE Region 10 Conference ; Conference date: 21-11-2005 Through 24-11-2005",

}

Lee, H & Bien, Z 2005, Sub-nyquist nonuniform sampling and perfect reconstruction of speech signals. in TENCON 2005 - 2005 IEEE Region 10 Conference., 4085354, IEEE Region 10 Annual International Conference, Proceedings/TENCON, vol. 2007, Institute of Electrical and Electronics Engineers Inc., TENCON 2005 - 2005 IEEE Region 10 Conference, Melbourne, Australia, 21/11/05. https://doi.org/10.1109/TENCON.2005.301244

Sub-nyquist nonuniform sampling and perfect reconstruction of speech signals. / Lee, Heyoung; Bien, Zeungnam.
TENCON 2005 - 2005 IEEE Region 10 Conference. Institute of Electrical and Electronics Engineers Inc., 2005. 4085354 (IEEE Region 10 Annual International Conference, Proceedings/TENCON; Vol. 2007).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

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AU - Lee, Heyoung

AU - Bien, Zeungnam

PY - 2005

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N2 - 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.

AB - 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.

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U2 - 10.1109/TENCON.2005.301244

DO - 10.1109/TENCON.2005.301244

M3 - Conference contribution

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SN - 0780393112

SN - 9780780393110

T3 - IEEE Region 10 Annual International Conference, Proceedings/TENCON

BT - TENCON 2005 - 2005 IEEE Region 10 Conference

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - TENCON 2005 - 2005 IEEE Region 10 Conference

Y2 - 21 November 2005 through 24 November 2005

ER -

Sub-nyquist nonuniform sampling and perfect reconstruction of speech signals

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