Performance analysis of a deterministic channel estimator for block transmission systems with null guard intervals

Sergio Barbarossa; Anna Scaglione; Georgios B. Giannakis

doi:10.1109/78.984763

Performance analysis of a deterministic channel estimator for block transmission systems with null guard intervals

Sergio Barbarossa, Anna Scaglione, Georgios B. Giannakis

Electrical and Computer Engineering

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

24 Scopus citations

Abstract

A deterministic algorithm was recently proposed for channel identification in block communication systems. The method assumed that the channel is finite impulse response (FIR) and that null guard intervals of length greater than the channel order are inserted between successive blocks to prevent interblock interference and allow block synchronization. In the absence of noise, the algorithm provides error-free channel estimates, using a finite number of received data, without requiring training sequences and without imposing a restriction neither on the channel, except for finite order and time invariance, nor on the symbol constellation. Using small perturbation analysis, in this paper, we derive approximate expressions of the estimated channel covariance matrix, which are used to quantify the resilience of the estimation algorithm to additive noise and channel fluctuations. Specifically, we consider channel fluctuations induced by transmitter/receiver relative motion, asynchronism, and oscillators' phase noise. We also compare the channel estimation accuracy with the Cramér-Rao bound (CRB) and prove that our estimation method is statistically efficient at practical SNR values for any data block length. Finally, we validate our theoretical analysis with simulations and compare our transmission scheme with an alternative system using training sequences for channel estimation.

Original language	English (US)
Pages (from-to)	684-695
Number of pages	12
Journal	IEEE Transactions on Signal Processing
Volume	50
Issue number	3
DOIs	https://doi.org/10.1109/78.984763
State	Published - Mar 2002

Bibliographical note

Funding Information:
Manuscript received August 19, 1999; revised October 9, 2001. This work was supported in part by the National Science Foundation Wireless Initiative Grant 9979443. The associate editor coordinating the review of this paper and approving it for publication was Prof. Michail K. Tsatsanis. S. Barbarossa is with the INFOCOM Department, University of Rome “La Sapienza,” Rome, Italy (e-mail: sergio@infocom.uniroma1.it). A. Scaglione is with the School of Electrical and Computer Engineering, Cornell University, Ithaca, NY 14853 USA. G. B. Giannakis is with the Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN 55455 USA. Publisher Item Identifier S 1053-587X(02)01346-6.

Keywords

Channel estimation
Equalization
Theoretical bounds

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10.1109/78.984763

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title = "Performance analysis of a deterministic channel estimator for block transmission systems with null guard intervals",

abstract = "A deterministic algorithm was recently proposed for channel identification in block communication systems. The method assumed that the channel is finite impulse response (FIR) and that null guard intervals of length greater than the channel order are inserted between successive blocks to prevent interblock interference and allow block synchronization. In the absence of noise, the algorithm provides error-free channel estimates, using a finite number of received data, without requiring training sequences and without imposing a restriction neither on the channel, except for finite order and time invariance, nor on the symbol constellation. Using small perturbation analysis, in this paper, we derive approximate expressions of the estimated channel covariance matrix, which are used to quantify the resilience of the estimation algorithm to additive noise and channel fluctuations. Specifically, we consider channel fluctuations induced by transmitter/receiver relative motion, asynchronism, and oscillators' phase noise. We also compare the channel estimation accuracy with the Cram{\'e}r-Rao bound (CRB) and prove that our estimation method is statistically efficient at practical SNR values for any data block length. Finally, we validate our theoretical analysis with simulations and compare our transmission scheme with an alternative system using training sequences for channel estimation.",

keywords = "Channel estimation, Equalization, Theoretical bounds",

author = "Sergio Barbarossa and Anna Scaglione and Giannakis, {Georgios B.}",

note = "Funding Information: Manuscript received August 19, 1999; revised October 9, 2001. This work was supported in part by the National Science Foundation Wireless Initiative Grant 9979443. The associate editor coordinating the review of this paper and approving it for publication was Prof. Michail K. Tsatsanis. S. Barbarossa is with the INFOCOM Department, University of Rome “La Sapienza,” Rome, Italy (e-mail: sergio@infocom.uniroma1.it). A. Scaglione is with the School of Electrical and Computer Engineering, Cornell University, Ithaca, NY 14853 USA. G. B. Giannakis is with the Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN 55455 USA. Publisher Item Identifier S 1053-587X(02)01346-6.",

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N2 - A deterministic algorithm was recently proposed for channel identification in block communication systems. The method assumed that the channel is finite impulse response (FIR) and that null guard intervals of length greater than the channel order are inserted between successive blocks to prevent interblock interference and allow block synchronization. In the absence of noise, the algorithm provides error-free channel estimates, using a finite number of received data, without requiring training sequences and without imposing a restriction neither on the channel, except for finite order and time invariance, nor on the symbol constellation. Using small perturbation analysis, in this paper, we derive approximate expressions of the estimated channel covariance matrix, which are used to quantify the resilience of the estimation algorithm to additive noise and channel fluctuations. Specifically, we consider channel fluctuations induced by transmitter/receiver relative motion, asynchronism, and oscillators' phase noise. We also compare the channel estimation accuracy with the Cramér-Rao bound (CRB) and prove that our estimation method is statistically efficient at practical SNR values for any data block length. Finally, we validate our theoretical analysis with simulations and compare our transmission scheme with an alternative system using training sequences for channel estimation.

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Performance analysis of a deterministic channel estimator for block transmission systems with null guard intervals

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