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Autor(en): 
  • Xu Zhang
  • Jinchi Chen
  • Jinsheng Li
  • Low-Rank Hankel Methods for Spectral Signal Processing: From Spectral Compressed Sensing to Blind Super-Resolution and Demixing 
     

    (Buch)
    Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 3 Artikel!


    Übersicht

    Auf mobile öffnen
     
    Lieferstatus:   Vorankündigung
    Veröffentlichung:  ANGEKÜNDIGT (September 2026)  
    Genre:  Naturwissensch., Medizin, Technik 
     
    Digitale Signalverarbeitung (DSP) / Hankel tensor decomposition / Hankel-structured signal recovery / Joint blind super-resolution and demixing / Low-rank Hankel methods for signal processing / Low-rank matrix completion in the Fourier domain / Microwaves, RF Engineering and Optical Communications / Scaled gradient methods for blind deconvolution
    ISBN:  9789819242818 
    EAN-Code: 
    9789819242818 
    Verlag:  Springer EN 
    Einband:  Gebunden  
    Sprache:  English  
    Dimensionen:  H 235 mm / B 155 mm / D  
    Illustration:  Approx. 300 p. 50 illus., schwarz-weiss Illustrationen 
    Zus. Info:  EUDR exemption - product or manufacturing materials placed on the market prior to 31.12.2025. 
    Bewertung: Keine Bewertung vor Veröffentlichung möglich.
    Inhalt:
    This book offers a unified introduction to low-rank Hankel methods for modern spectral signal processing, which are widely used in high-resolution radar/sonar imaging, DOA estimation and array processing, massive MIMO channel estimation, medical and astronomical imaging, and integrated sensing and communication systems. It provides a practical pathway from basic Hankel structures to state-of-the-art algorithms for spectral compressed sensing, blind super-resolution, and joint blind super-resolution and demixing. Focusing on spectrally sparse signals, the book shows how to exploit Hankel matrix and tensor structures to recover continuous-domain frequencies from few, noisy, or nonuniform samples. It explains when convex approaches based on nuclear or atomic norms guarantee exact recovery, and why they become computationally prohibitive in large-scale radar, imaging, and communication systems. Building on this foundation, the text introduces fast nonconvex schemes-projected, vanilla, scaled, and Riemannian gradient methods-that leverage low-rank factorization of Hankel (and vectorized Hankel) matrices with rigorous convergence and sample complexity guarantees. A central theme is handling realistic, "blind" scenarios where point spread functions or channels are unknown, and multi-user mixtures must be demixed before super-resolving fine spectral details. The book systematically treats these challenges, from single-measurement spectral compressed sensing to multi-measurement Hankel tensor completion and integrated sensing-and-communication style joint blind super-resolution and demixing. Throughout, theoretical insights are closely linked to algorithm design and numerical behavior, helping readers understand not only how to implement methods, but when and why they work. This volume targets advanced graduate students, researchers, and R&D engineers in signal processing, applied mathematics, radar and wireless communications, and related areas who need reliable and efficient tools for spectral compressed sensing, blind super-resolution, and demixing in high-dimensional applications.
      



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