Statistical Signal Processing: Frequency Estimation

✍ Scribed by Swagata Nandi, Debasis Kundu

Publisher: Springer Singapore;Springer
Year: 2020
Tongue: English
Leaves: 275
Edition: 2nd ed.
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This book introduces readers to various signal processing models that have been used in analyzing periodic data, and discusses the statistical and computational methods involved. Signal processing can broadly be considered to be the recovery of information from physical observations. The received signals are usually disturbed by thermal, electrical, atmospheric or intentional interferences, and due to their random nature, statistical techniques play an important role in their analysis. Statistics is also used in the formulation of appropriate models to describe the behavior of systems, the development of appropriate techniques for estimation of model parameters and the assessment of the model performances. Analyzing different real-world data sets to illustrate how different models can be used in practice, and highlighting open problems for future research, the book is a valuable resource for senior undergraduate and graduate students specializing in mathematics or statistics.

✦ Table of Contents

Front Matter ....Pages i-xxiii
Introduction (Swagata Nandi, Debasis Kundu)....Pages 1-7
Notations and Preliminaries (Swagata Nandi, Debasis Kundu)....Pages 9-37
Estimation of Frequencies (Swagata Nandi, Debasis Kundu)....Pages 39-65
Asymptotic Properties (Swagata Nandi, Debasis Kundu)....Pages 67-99
Estimating the Number of Components (Swagata Nandi, Debasis Kundu)....Pages 101-114
Fundamental Frequency Model and Its Generalization (Swagata Nandi, Debasis Kundu)....Pages 115-141
Real Data Example Using Sinusoidal-Like Models (Swagata Nandi, Debasis Kundu)....Pages 143-161
Multidimensional Models (Swagata Nandi, Debasis Kundu)....Pages 163-177
Chirp Signal Model (Swagata Nandi, Debasis Kundu)....Pages 179-216
Random Amplitude Sinusoidal and Chirp Model (Swagata Nandi, Debasis Kundu)....Pages 217-237
Related Models (Swagata Nandi, Debasis Kundu)....Pages 239-257
Back Matter ....Pages 259-265

✦ Subjects

Statistics; Statistics and Computing/Statistics Programs; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences; Algorithms; Mathematical and Computational Engineering

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