Signal Analysis

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.