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Wavelets - A Concise Guide (Paperback)
Loot Price: R1,115
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Wavelets - A Concise Guide (Paperback)
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Introduced nearly three decades ago as a variable resolution
alternative to the Fourier transform, a wavelet is a short
oscillatory waveform for analysis of transients. The discrete
wavelet transform has remarkable multi-resolution and
energy-compaction properties. Amir-Homayoon Najmi's introduction to
wavelet theory explains this mathematical concept clearly and
succinctly. Wavelets are used in processing digital signals and
imagery from myriad sources. They form the backbone of the JPEG2000
compression standard, and the Federal Bureau of Investigation uses
biorthogonal wavelets to compress and store its vast database of
fingerprints. Najmi provides the mathematics that demonstrate how
wavelets work, describes how to construct them, and discusses their
importance as a tool to investigate and process signals and
imagery. He reviews key concepts such as frames, localizing
transforms, orthogonal and biorthogonal bases, and
multi-resolution. His examples include the Haar, the Shannon, and
the Daubechies families of orthogonal and biorthogonal wavelets.
Our capacity and need for collecting and transmitting digital data
is increasing at an astonishing rate. So too is the importance of
wavelets to anyone working with and analyzing digital data. Najmi's
primer will be an indispensable resource for those in computer
science, the physical sciences, applied mathematics, and
engineering who wish to obtain an in-depth understanding and
working knowledge of this fascinating and evolving field.
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