UWB sparse/diffuse channels, part II: Estimator analysis and practical channels

Nicolò Michelusi, Urbashi Mitra, Andreas F. Molisch, Michele Zorzi

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

In this two-part paper, the problem of channel estimation in Ultra Wide-Band (UWB) systems is investigated. In Part I, a novel Hybrid Sparse/Diffuse (HSD) model is proposed for the UWB channel, and new channel estimation strategies are designed for this model. In this paper (Part II), a Mean-Squared Error (MSE) analysis of the Generalized MMSE and Generalized Thresholding Estimators developed in Part I is performed, for the asymptotic regimes of low and high SNR. The analysis quantifies the achievable MSE performance of these schemes over unstructured estimators. Specifically, we prove that it is beneficial to be conservative in the estimation of the sparse component, i.e., to assume that the sparse component is sparser than it actually is. Moreover, we analyze the scenario with a non-orthogonal pilot sequence, and establish a connection between the Generalized Thresholding estimator and conventional sparse approximation algorithms proposed in the literature. In addition to the theoretical analysis, these channel estimation schemes are evaluated in a more realistic geometry-based channel emulator, for which the HSD model developed in Part I is an approximation. The numerical results are shown to match the expected asymptotic MSE behavior. Moreover, the proposed estimation techniques are shown to outperform conventional unstructured and purely sparse estimators, from both an MSE and a bit error rate perspectives, even for the realistic geometry-based channel model.

Original languageEnglish (US)
Article number6224194
Pages (from-to)5320-5333
Number of pages14
JournalIEEE Transactions on Signal Processing
Volume60
Issue number10
DOIs
StatePublished - 2012
Externally publishedYes

Keywords

  • Bayesian estimation
  • Channel estimation
  • Channel modeling
  • Sparse approximations
  • Ultra wideband

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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