An ℓp-norm minimization approach to time delay estimation in impulsive noise

  • Authors:

  • Wen-Jun Zeng;H. C. So;Abdelhak M. Zoubir

  • Affiliations:

  • Department of Electronic Engineering, City University of Hong Kong, Hong Kong;Department of Electronic Engineering, City University of Hong Kong, Hong Kong;Signal Processing Group, Institute of Telecommunications, Technische Universität Darmstadt, Darmstadt, Germany

  • Venue:
  • Digital Signal Processing
  • Year:
  • 2013

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Abstract

Estimating the time delay between two signals received at spatially separated sensors is an important topic in signal processing and has a variety of practical applications. Conventionally, time delay estimation (TDE) can be achieved in two steps. The coefficients of a finite impulse response filter used to model the subsample delay are first computed and then interpolated to produce the delay estimate. Despite its simplicity, the two-step method suffers from error accumulation, estimation bias, and is not robust to impulsive noise or outliers. To overcome these drawbacks, a family of robust algorithms for direct TDE is proposed using @?"p-norm minimization, with 1=