Adaptive Signal Models: Theory, Algorithms and Audio Applications presents methods for deriving mathematical models of natural signals. The introduction covers the fundamentals of analysissynthesis systems and signal representations. Some of the topics in the introduction include perfect and nearperfect reconstruction, the distinction between parametric and nonparametric methods, the role of compaction in signal modeling, basic and overcomplete signal expansions, and timefrequency resolution issues. These topics arise throughout the book as do a number of other topics such as filter banks and multiresolution. The second chapter gives a detailed development of the sinusoidal model as a parametric extension of the shorttime Fourier transform. This leads to multiresolution sinusoidal modeling techniques in Chapter Three, where waveletlike approaches are merged with the sinusoidal model to yield improved models. In Chapter Four, the analysissynthesis residual is considered; for realistic synthesis, the residual must be separately modeled after coherent components (such as sinusoids) are removed. The residual modeling approach is based on psychoacoustically motivated nonuniform filter banks. Chapter Five deals with pitchsynchronous versions of both the wavelet and the Fourier transform; these allow for compact models of pseudoperiodic signals. Chapter Six discusses recent algorithms for deriving signal representations based on timefrequency atoms; primarily, the matching pursuit algorithm is reviewed and extended. The signal models discussed in the book are compact, adaptive, parametric, timefrequency representations that are useful for analysis, coding, modification, and synthesis of natural signals such as audio. The models are all interpreted as methods for decomposing a signal in terms of fundamental timefrequency atoms; these interpretations, as well as the adaptive and parametric natures of the models,serve to link the various methods dealt with in the text. Adaptive Signal Models: Theory, Algorithms and Audio Applications serves as an excellent reference for researchers of signal processing and may be used as a text for advanced courses on the topic.
Adaptive Signal Models: Theory, Algorithms and Audio Applications presents methods for deriving mathematical models of natural signals. The introduction covers the fundamentals of analysissynthesis systems and signal representations. Some of the topics in the introduction include perfect and nearperfect reconstruction, the distinction between parametric and nonparametric methods, the role of compaction in signal modeling, basic and overcomplete signal expansions, and timefrequency resolution issues. These topics arise throughout the book as do a number of other topics such as filter banks and multiresolution. The second chapter gives a detailed development of the sinusoidal model as a parametric extension of the shorttime Fourier transform. This leads to multiresolution sinusoidal modeling techniques in Chapter Three, where waveletlike approaches are merged with the sinusoidal model to yield improved models. In Chapter Four, the analysissynthesis residual is considered; for realistic synthesis, the residual must be separately modeled after coherent components (such as sinusoids) are removed. The residual modeling approach is based on psychoacoustically motivated nonuniform filter banks. Chapter Five deals with pitchsynchronous versions of both the wavelet and the Fourier transform; these allow for compact models of pseudoperiodic signals. Chapter Six discusses recent algorithms for deriving signal representations based on timefrequency atoms; primarily, the matching pursuit algorithm is reviewed and extended. The signal models discussed in the book are compact, adaptive, parametric, timefrequency representations that are useful for analysis, coding, modification, and synthesis of natural signals such as audio. The models are all interpreted as methods for decomposing a signal in terms of fundamental timefrequency atoms; these interpretations, as well as the adaptive and parametric natures of the models,serve to link the various methods dealt with in the text. Adaptive Signal Models: Theory, Algorithms and Audio Applications serves as an excellent reference for researchers of signal processing and may be used as a text for advanced courses on the topic.
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