Realizable forms of ideal D/C and C/D conversions for complex bandlimited periodic signals

Ming Xian Chang, Ren Shian Chen

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

For real bandlimited periodic signals, the author of [2] proposed reconstruction formulas such that the ideal discrete-to-continuous-time (D/C) conversion can be realized within one period of the signal. However, for general complex bandlimited periodic signals, the results of [2] cannot be directly applied to the real and imaginary parts of the signals. Furthermore, no corresponding ideal continuous-to-discrete-time (C/D) conversion has been proposed. In this paper, we first derive the reconstruction formulas for complex bandlimited periodic signals, and this leads to a realizable form of ideal D/C conversion. For the interpolation pulse of the D/C conversion, we construct its correlation function, based on which we further propose a matched filter that can implement the ideal sampling (C/D conversion) of a complex bandlimited periodic signal. We compare the sampling effect and noise effect of the proposed C/D conversion with other sampling approaches. When there are white noises during the sampling, we also derive the correlation function of the output noise for the proposed ideal C/D conversion.

Original languageEnglish
Title of host publication2010 IEEE Global Telecommunications Conference, GLOBECOM 2010
DOIs
Publication statusPublished - 2010 Dec 1
Event53rd IEEE Global Communications Conference, GLOBECOM 2010 - Miami, FL, United States
Duration: 2010 Dec 62010 Dec 10

Publication series

NameGLOBECOM - IEEE Global Telecommunications Conference

Other

Other53rd IEEE Global Communications Conference, GLOBECOM 2010
CountryUnited States
CityMiami, FL
Period10-12-0610-12-10

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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    Chang, M. X., & Chen, R. S. (2010). Realizable forms of ideal D/C and C/D conversions for complex bandlimited periodic signals. In 2010 IEEE Global Telecommunications Conference, GLOBECOM 2010 [5683773] (GLOBECOM - IEEE Global Telecommunications Conference). https://doi.org/10.1109/GLOCOM.2010.5683773