Tight approximation of the bit error rate for BICM(-ID) assuming imperfect CSI

Susanne Godtmann*, I. Wei Lai, Gerd Ascheid, Tzi Dar Chiueh, Heinrich Meyr

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


In this correspondence, we analytically derive the bit error rate (BER) for bit-interleaved coded modulation (BICM) under the assumption of a temporally correlated flat Rayleigh fading channel. We assume the channel state information (CSI) to be unknown at receiver side and consider a linear minimum mean-squared error (LMMSE) channel estimator that relies on periodically inserted pilot symbols. We give asymptotic results for both non-iterative BICM and BICM with iterative decoding (BICM-ID). Furthermore, we show that the interpretation of the channel estimation error as an SNR degradation holds true in these cases.

Original languageEnglish
Article number4686825
Pages (from-to)4468-4473
Number of pages6
JournalIEEE Transactions on Wireless Communications
Issue number11
Publication statusPublished - 2008 Nov
Externally publishedYes


  • Bit-interleaved coded modulation (BICM)
  • Bitinterleaved coded modulation with iterative decoding (BICM-ID)
  • Imperfect channel state information (CSI)
  • LMMSE channel estimation
  • Temporal correlated fading

ASJC Scopus subject areas

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


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