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Random Amplitude Sinusoidal and Chirp Model

In: Statistical Signal Processing

Author

Listed:
  • Swagata Nandi

    (Indian Statistical Institute, Theoretical Statistics and Mathematics Unit)

  • Debasis Kundu

    (Indian Institute of Technology Kanpur, Department of Mathematics and Statistics)

Abstract

In this monograph, we have considered sinusoidal frequency model and many of its variants in one and higher dimensions. In all these models considered so far, amplitudes are assumed to be unknown constants. In this chapter, we allow the amplitudes to be random or some deterministic function of the index. Such random amplitude sinusoidal and chirp models generalize most of the models considered previously. A different set of assumptions have also been required. We discuss estimation procedures of the unknown parameters of the different models and discuss their theoretical properties. Several open problems also have been indicated.

Suggested Citation

  • Swagata Nandi & Debasis Kundu, 2020. "Random Amplitude Sinusoidal and Chirp Model," Springer Books, in: Statistical Signal Processing, edition 2, chapter 0, pages 217-237, Springer.
    • Handle: RePEc:spr:sprchp:978-981-15-6280-8_10
    DOI: 10.1007/978-981-15-6280-8_10
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