Complete Identification of Permissible Sampling Rates for First-Order Sampling of Multi-Band Bandpass Signals

Yan Wu; Daniel F. Linder

Complete Identification of Permissible Sampling Rates for First-Order Sampling of Multi-Band Bandpass Signals

Yan Wu
, Daniel F. Linder

Mathematical Sciences

Georgia Southern University

Research output: Contribution to journal › Article › peer-review

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Abstract

Abstract The first-order sampling of multi-band bandpass signals with arbitrary band positions is considered in this paper. Gaps between the spectral sub-bands are utilized to achieve lower sampling rates than the Nyquist. The lowest possible sampling rate along with other permissible sampling rates is identified via a unique partition of the frequency axis. With the complete identification of all the permissible sampling rates, a necessary and sufficient sampling theorem for multi-band bandpass signals is presented in terms of a series of csinc-interpolators.

Original language	American English
Journal	WSEAS Transactions on Mathematics
Volume	8
State	Published - Jan 1 2009

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This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Disciplines

Public Health
Biostatistics
Community Health

Keywords

Aliasing
Csinc-interpolation
First-order sampling
Multi-band bandpass signals
Nyquist rate
Permissible sampling rates
Sampling theorem

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Complete Identification of Permissible Sampling Rates for First-OFinal published version, 544 KBLicense: Unspecified

Cite this

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title = "Complete Identification of Permissible Sampling Rates for First-Order Sampling of Multi-Band Bandpass Signals",

abstract = "Abstract The first-order sampling of multi-band bandpass signals with arbitrary band positions is considered in this paper. Gaps between the spectral sub-bands are utilized to achieve lower sampling rates than the Nyquist. The lowest possible sampling rate along with other permissible sampling rates is identified via a unique partition of the frequency axis. With the complete identification of all the permissible sampling rates, a necessary and sufficient sampling theorem for multi-band bandpass signals is presented in terms of a series of csinc-interpolators.",

keywords = "Aliasing, Csinc-interpolation, First-order sampling, Multi-band bandpass signals, Nyquist rate, Permissible sampling rates, Sampling theorem",

author = "Yan Wu and Linder, \{Daniel F.\}",

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AU - Linder, Daniel F.

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N2 - Abstract The first-order sampling of multi-band bandpass signals with arbitrary band positions is considered in this paper. Gaps between the spectral sub-bands are utilized to achieve lower sampling rates than the Nyquist. The lowest possible sampling rate along with other permissible sampling rates is identified via a unique partition of the frequency axis. With the complete identification of all the permissible sampling rates, a necessary and sufficient sampling theorem for multi-band bandpass signals is presented in terms of a series of csinc-interpolators.

AB - Abstract The first-order sampling of multi-band bandpass signals with arbitrary band positions is considered in this paper. Gaps between the spectral sub-bands are utilized to achieve lower sampling rates than the Nyquist. The lowest possible sampling rate along with other permissible sampling rates is identified via a unique partition of the frequency axis. With the complete identification of all the permissible sampling rates, a necessary and sufficient sampling theorem for multi-band bandpass signals is presented in terms of a series of csinc-interpolators.

KW - Aliasing

KW - Csinc-interpolation

KW - First-order sampling

KW - Multi-band bandpass signals

KW - Nyquist rate

KW - Permissible sampling rates

KW - Sampling theorem

UR - https://digitalcommons.georgiasouthern.edu/biostat-facpubs/1

M3 - Article

AN - SCOPUS:70450171024

SN - 1109-2769

VL - 8

JO - WSEAS Transactions on Mathematics

JF - WSEAS Transactions on Mathematics

ER -

Complete Identification of Permissible Sampling Rates for First-Order Sampling of Multi-Band Bandpass Signals

Abstract

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Keywords

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