Offers a well-rounded, mathematical approach to problems in signal interpretation using the latest time, frequency, and mixed-domain methods
* Equally useful as a reference, an up-to-date review, a learning tool, and a resource for signal analysis techniques
* Provides a gradual introduction to the mathematics so that the less mathematically adept reader will not be overwhelmed with instant hard analysis
* Covers Hilbert spaces, complex analysis, distributions, random signals, analog Fourier transforms, and more
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RONALD L. ALLEN received his BA in mathematics from the University of California, Berkeley in 1973, his MA in mathematics from the University of California, Los Angeles in 1975, and his MS and PhD in Computer Science from the University of Texas at Arlington in 1990 and 1993, respectively.
DUNCAN W. MILLS received his BA in Physics from Wesleyan University, his MS in Electrical Engineering from George Washington University, and his PhD in Electrical Engineering from University of Texas at Dallas in 1992.
Signal analysis from concept to application
Signal analysis, a method of arriving at a structural description of a signal so that later high-level algorithms can interpret its content, is a growing field with an increasing number of applications. Signal Analysis: Time, Frequency, Scale, and Structure opens a window into the practice of signal analysis by providing a gradual yet thorough introduction to the theory behind signal analysis as well as the abstract mathematics and functional analysis which may be new to many readers.
Making the material accessible for readers of different levels of mathematical background, the authors clarify the basic concepts and types of signals and slowly build up to mastering the mathematics of Hilbert spaces, complex analysis, distributions, random signals, and analog Fourier transforms. Chapters cover:
Suitable as a professional reference, up-to-date review for practitioners, and a resource of signal analysis techniques, Signal Analysis: Time, Frequency, Scale, and Structure serves up a well-rounded, mathematical approach to problems in signal interpretation using the latest time, frequency, and mixed-domain methods.
Signal analysis from concept to application
Signal analysis, a method of arriving at a structural description of a signal so that later high-level algorithms can interpret its content, is a growing field with an increasing number of applications. Signal Analysis: Time, Frequency, Scale, and Structure opens a window into the practice of signal analysis by providing a gradual yet thorough introduction to the theory behind signal analysis as well as the abstract mathematics and functional analysis which may be new to many readers.
Making the material accessible for readers of different levels of mathematical background, the authors clarify the basic concepts and types of signals and slowly build up to mastering the mathematics of Hilbert spaces, complex analysis, distributions, random signals, and analog Fourier transforms. Chapters cover:
* Concepts of analog, discrete, and digital signals
* Discrete systems and signal spaces, including linear and convolutional systems and lp signal spaces
* Time domain signal analysis including segmentation and thresholding, filtering and enhancement, and edge and pattern detection
* Continuous, discrete, and generalized Fourier transforms
* The z-transform, time-frequency and time-scale signal transforms
* Frequency domain and mixed-domain signal analysis
Suitable as a professional reference, up-to-date review for practitioners, and a resource of signal analysis techniques, Signal Analysis: Time, Frequency, Scale, and Structure serves up a well-rounded, mathematical approach to problems in signal interpretation using the latest time, frequency, and mixed-domain methods.
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