Time-varying FIR equalization for doubly selective channels

Imad Barhumi, Geert Leus, Marc Moonen

Research output: Contribution to journalArticlepeer-review

79 Citations (Scopus)


In this paper, we propose a time-varying (TV) finite impulse response (FIR) equalizer for doubly selective (time- and frequency-selective) channels. We use a basis expansion model (BEM) to approximate the doubly selective channel and to design the TV FIR equalizer. This allows us to turn a complicated equalization problem into an equivalent simpler equalization problem, containing only the BEM coefficients of both the doubly selective channel and the TV FIR equalizer. The minimum mean-square error (MMSE) as well as the zero-forcing (ZF) solutions are considered. Comparisons with the block linear equalizer (BLE) are made. The TV FIR equalization we propose here unifies and extends many previously proposed serial equalization approaches. In contrast to the BLE, the proposed TV FIR equalizer allows a flexible tradeoff between complexity and performance. Moreover, through computer simulations, we show that the performance of the proposed MMSE TV FIR equalizer comes close to the performance of the ZF and MMSE BLE, at a point where the design as well as the implementation complexity are much lower.

Original languageEnglish
Pages (from-to)202-214
Number of pages13
JournalIEEE Transactions on Wireless Communications
Issue number1
Publication statusPublished - Jan 2005
Externally publishedYes


  • Doubly selective channels
  • Equalization
  • Fading channels
  • Orthogonal frequency division multiplexing (OFDM)
  • Time-varying finite impulse response (TV fIR)
  • Two-dimensional (2-D) equalization
  • Wireless communications

ASJC Scopus subject areas

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics


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