DocumentCode :
1395539
Title :
Realizable Ideal D/C and C/D Conversions for Band-Limited Periodic Signals and Characterization of Single-Carrier Block Transmission
Author :
Chang, Ming-Xian
Author_Institution :
Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan
Volume :
59
Issue :
4
fYear :
2011
fDate :
4/1/2011 12:00:00 AM
Firstpage :
1670
Lastpage :
1682
Abstract :
For a real band-limited periodic signal, there are reconstruction formulas that realize the ideal discrete-to-continuous (D/C) conversion within one period of the signal. However, the previous results may not be suitable for general complex band-limited periodic signals. For complex band-limited periodic signals, in this paper we first propose the reconstruction formulas, which lead to realizable forms of ideal D/C conversion. We then derive the correlation function of the interpolation pulse, and this helps us construct a matched filter that can implement the exact sampling (C/D conversion) of a complex band-limited periodic signal. When there exists noise in the sampling process, comparing with the ideal impulse sampling, the proposed C/D conversion can maintain finite output noise variance. The correlation function of the output noise is also given, and the oversampling effect of noise is analyzed. For a complex interpolation pulse, in general we cannot decouple the ideal D/C (or C/D) conversion into two independent D/C (or C/D) conversions for the real and imaginary parts of the signal. We also give the extended forms and decomposition forms of the proposed D/C and C/D conversions. Our results are applied to derive the ideal D/C and C/D conversions in the precoded orthogonal frequency-division multiplexing (POFDM) system. The resulted interpolation pulses are used to characterize the single-carrier (SC) block transmission under the POFDM architecture. We give characteristics that distinguish the SC block transmission from traditional SC transmission.
Keywords :
OFDM modulation; bandlimited communication; bandlimited signals; correlation methods; interpolation; matched filters; C/D conversion; band-limited periodic signal; correlation function; discrete-to-continuous conversion; finite output noise variance; impulse sampling; interpolation pulse; noise effect; preceded orthogonal frequency-division multiplexing system; single-carrier block transmission; C/D conversion; D/C conversion; oversampling; precoded OFDM; single-carrier block transmission;
fLanguage :
English
Journal_Title :
Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1053-587X
Type :
jour
DOI :
10.1109/TSP.2010.2097256
Filename :
5658167
Link To Document :
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