Optimal training for block transmissions over doubly selective wireless fading channels

Xiaoli Ma; Georgios B. Giannakis; Shuichi Ohno

doi:10.1109/TSP.2003.810304

Optimal training for block transmissions over doubly selective wireless fading channels

Xiaoli Ma, Georgios B. Giannakis, Shuichi Ohno

Electrical and Computer Engineering

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

392 Scopus citations

Abstract

High data rates give rise to frequency-selective propagation, whereas carrier frequency-offsets and mobility-induced Doppler shifts introduce time-selectivity in wireless links. To mitigate the resulting time- and frequency-selective (or doubly selective) channels, optimal training sequences have been designed only for special cases: pilot symbol assisted modulation (PSAM) for time-selective channels and pilot tone-assisted orthogonal frequency division multiplexing (OFDM) for frequency-selective channels. Relying on a basis expansion channel model, in this paper, we design low-complexity optimal PSAM for block transmissions over doubly selective channels. The optimality in designing our PSAM parameters consists of maximizing a tight lower bound on the average channel capacity that is shown to be equivalent to the minimization of the minimum mean-square channel estimation error. Numerical results corroborate our theoretical designs.

Original language	English (US)
Pages (from-to)	1351-1366
Number of pages	16
Journal	IEEE Transactions on Signal Processing
Volume	51
Issue number	5
DOIs	https://doi.org/10.1109/TSP.2003.810304
State	Published - May 2003

Bibliographical note

Funding Information:
Manuscript received November 11, 2001; revised November 19, 2002. The work in this paper was supported by the National Science Foundation under Grant 0122431 and the Army Research Laboratory/CTA under Grant DAAD19-01-2-011. The associate editor coordinating the review of this paper and approving it for publication was Prof. Xiaodong Wang.

Keywords

Doubly selective channels
Frequency selective
Mutual information
Optimal training
Pilot symbol assisted modulation
Time-selective
Wireless fading channels

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title = "Optimal training for block transmissions over doubly selective wireless fading channels",

abstract = "High data rates give rise to frequency-selective propagation, whereas carrier frequency-offsets and mobility-induced Doppler shifts introduce time-selectivity in wireless links. To mitigate the resulting time- and frequency-selective (or doubly selective) channels, optimal training sequences have been designed only for special cases: pilot symbol assisted modulation (PSAM) for time-selective channels and pilot tone-assisted orthogonal frequency division multiplexing (OFDM) for frequency-selective channels. Relying on a basis expansion channel model, in this paper, we design low-complexity optimal PSAM for block transmissions over doubly selective channels. The optimality in designing our PSAM parameters consists of maximizing a tight lower bound on the average channel capacity that is shown to be equivalent to the minimization of the minimum mean-square channel estimation error. Numerical results corroborate our theoretical designs.",

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author = "Xiaoli Ma and Giannakis, {Georgios B.} and Shuichi Ohno",

note = "Funding Information: Manuscript received November 11, 2001; revised November 19, 2002. The work in this paper was supported by the National Science Foundation under Grant 0122431 and the Army Research Laboratory/CTA under Grant DAAD19-01-2-011. The associate editor coordinating the review of this paper and approving it for publication was Prof. Xiaodong Wang.",

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AU - Giannakis, Georgios B.

AU - Ohno, Shuichi

N1 - Funding Information: Manuscript received November 11, 2001; revised November 19, 2002. The work in this paper was supported by the National Science Foundation under Grant 0122431 and the Army Research Laboratory/CTA under Grant DAAD19-01-2-011. The associate editor coordinating the review of this paper and approving it for publication was Prof. Xiaodong Wang.

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N2 - High data rates give rise to frequency-selective propagation, whereas carrier frequency-offsets and mobility-induced Doppler shifts introduce time-selectivity in wireless links. To mitigate the resulting time- and frequency-selective (or doubly selective) channels, optimal training sequences have been designed only for special cases: pilot symbol assisted modulation (PSAM) for time-selective channels and pilot tone-assisted orthogonal frequency division multiplexing (OFDM) for frequency-selective channels. Relying on a basis expansion channel model, in this paper, we design low-complexity optimal PSAM for block transmissions over doubly selective channels. The optimality in designing our PSAM parameters consists of maximizing a tight lower bound on the average channel capacity that is shown to be equivalent to the minimization of the minimum mean-square channel estimation error. Numerical results corroborate our theoretical designs.

AB - High data rates give rise to frequency-selective propagation, whereas carrier frequency-offsets and mobility-induced Doppler shifts introduce time-selectivity in wireless links. To mitigate the resulting time- and frequency-selective (or doubly selective) channels, optimal training sequences have been designed only for special cases: pilot symbol assisted modulation (PSAM) for time-selective channels and pilot tone-assisted orthogonal frequency division multiplexing (OFDM) for frequency-selective channels. Relying on a basis expansion channel model, in this paper, we design low-complexity optimal PSAM for block transmissions over doubly selective channels. The optimality in designing our PSAM parameters consists of maximizing a tight lower bound on the average channel capacity that is shown to be equivalent to the minimization of the minimum mean-square channel estimation error. Numerical results corroborate our theoretical designs.

KW - Doubly selective channels

KW - Frequency selective

KW - Mutual information

KW - Optimal training

KW - Pilot symbol assisted modulation

KW - Time-selective

KW - Wireless fading channels

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Optimal training for block transmissions over doubly selective wireless fading channels

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