Time Delay Estimation from Multiband Radio Channel Samples in Nonuniform Noise

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The multipath radio channel is considered to have a non-bandlimited channel impulse response. Therefore, it is challenging to achieve high resolution time-delay (TD) estimation of multipath components (MPCs) from bandlimited observations of communication signals. It this paper, we consider the problem of multiband channel sampling and TD estimation of MPCs. We assume that the nonideal multi-branch receiver is used for multiband sampling, where the noise is nonuniform across the receiver branches. The resulting data model of Hankel matrices formed from acquired samples has multiple shift-invariance structures, and we propose an algorithm for TD estimation using weighted subspace fitting. The subspace fitting is formulated as a separable nonlinear least squares (NLS) problem, and it is solved using a variable projection method. The proposed algorithm supports high resolution TD estimation from an arbitrary number of bands, and it allows for nonuniform noise across the bands. Numerical simulations show that the algorithm almost attains the Cramér Rao Lower Bound, and it outperforms previously proposed methods such as multiresolution TOA, MI-MUSIC, and ESPRIT.
Original languageEnglish
Title of host publication2019 53nd Asilomar Conference on Signals, Systems, and Computers
Place of PublicationPiscataway, NJ
Number of pages5
ISBN (Electronic)978-1-7281-4300-2
ISBN (Print)978-1-7281-4301-9
Publication statusPublished - 2020
Event2019 53rd Asilomar Conference on Signals, Systems, and Computers - Pacific Grove, United States
Duration: 3 Nov 20196 Nov 2019
Conference number: 53rd


Conference2019 53rd Asilomar Conference on Signals, Systems, and Computers
Country/TerritoryUnited States
CityPacific Grove

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care

Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.


  • time-of-arrival
  • channel estimation
  • superresolution
  • sparse recovery
  • multiband sampling
  • cognitive radio


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