Analytical comparison of mean-squares errors for channel response estimation based on frequency- and time-domain pilot signals

Ming-Xian Chang, Chi Shuo Li, Chiung Wen Wei, Chih Kuan Lee

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

For the orthogonal frequency-division multiplexing (OFDM) system, one can estimate the channel responses (CRs) based on frequency-domain (FD) pilot symbols. On the other hand, one can also estimate the time-domain (TD) channel impulse response by inserting a unit pulse ahead of each OFDM block. However, there is no analytical comparison between the CR estimation based on FD pilot symbols and TD unit pulses. In this paper, we give the analytical comparison of the mean-squares errors (MSEs) for the CR estimation based on TD and FD pilot signals. For the CR estimation based on FD pilot symbols, the linear minimum mean-squares error (LMMSE) algorithm is optimal. We derive an MSE lower bound for the LMMSE algorithm among all possible distribution of pilot symbols. This MSE lower bound coincides with the MSE attained by the optimal CR estimation based on TD unit pulses. We also show that with the uniform distribution of pilot symbols, the resulted MSE is very close to the MSE lower bound for the LMMSE algorithm. Our results conclude that the optimal CR estimation based on TD and FD pilot signals attain almost the same MSEs.

Original languageEnglish
Title of host publication2012 International Symposium on Wireless Communication Systems, ISWCS 2012 - Proceedings
Pages959-963
Number of pages5
DOIs
Publication statusPublished - 2012
Event2012 9th International Symposium on Wireless Communication Systems, ISWCS 2012 - Paris, France
Duration: 2012 Aug 282012 Aug 31

Other

Other2012 9th International Symposium on Wireless Communication Systems, ISWCS 2012
CountryFrance
CityParis
Period12-08-2812-08-31

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Electrical and Electronic Engineering
  • Communication

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