Direct blind equalizers of multiple FIR channels: A deterministic approach

Georgios B. Giannakis, Cihan Tepedelenlioglu

Research output: Contribution to journalArticlepeer-review

61 Scopus citations


Blind equalization of single-input multi-output channels has practical value for inverse problems encountered in communications, sonar, and seismic data processing. Relying on diversity (sufficient number of multiple outputs), we bypass the channel estimation step and derive direct blind FIR equalizers of co-prime FIR channels. There are no constraints on the inaccessible input, apart from a minimum persistence of excitation condition; the input can be deterministic or random with unknown color or distribution. At moderate SNR (>20 dB), the resulting algorithms remain operational even with very short data records (<100 samples), which makes them valuable for equalization of rapidly fading multipath channels. Complexity, persistence of excitation order, and mean-square error performance tradeoffs are delineated for equalizers of singleshift (semi-blind), pair, or, multiple shifts estimated separately or simultaneously. Optimum and suboptimum combinations of the equalizers' outputs are also studied. Simulations illustrate the proposed algorithms and compare them with dual deterministic channel identification algorithms.

Original languageEnglish (US)
Pages (from-to)62-74
Number of pages13
JournalIEEE Transactions on Signal Processing
Issue number1
StatePublished - 1999

Bibliographical note

Funding Information:
Manuscript received March 21, 1997; revised July 14, 1998. This work was supported by the Office of Naval Research under Grant N00014-93-1-0485. The associate editor coordinating the review of this paper and approving it for publication was Prof. Barry D. Van Veen.


  • Communications
  • Equalization
  • Multichannel system identification


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