Publication

Wavelets, subband coding, and best bases

Martin Vetterli
1996
Journal Articles

Abstract

The emergence of wavelets has led to a convergence of linear expansion methods used in signal processing and applied mathematics. In particular, subband coding methods and their associated filters are closely related to wavelet constructions. We first review such constructions with a signal processing perspective. We then discuss the idea behind signal adapted bases and associated algorithms before showing how wavelets and subband coding methods are used in signal compression applications.

Official source

https://infoscience.epfl.ch/entities/publication/f87c7e2b-183c-44f8-af4d-b0eef725b0ef

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Martin Vetterli
1996
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/f87c7e2b-183c-44f8-af4d-b0eef725b0ef

About this result

Related concepts (32)

Wavelet

A wavelet is a wave-like oscillation with an amplitude that begins at zero, increases or decreases, and then returns to zero one or more times. Wavelets are termed a "brief oscillation". A taxonomy of wavelets has been established, based on the number and direction of its pulses. Wavelets are imbued with specific properties that make them useful for signal processing. For example, a wavelet could be created to have a frequency of Middle C and a short duration of roughly one tenth of a second.

Digital signal processing

Digital signal processing (DSP) is the use of digital processing, such as by computers or more specialized digital signal processors, to perform a wide variety of signal processing operations. The digital signals processed in this manner are a sequence of numbers that represent samples of a continuous variable in a domain such as time, space, or frequency. In digital electronics, a digital signal is represented as a pulse train, which is typically generated by the switching of a transistor.

Signal processing

Signal processing is an electrical engineering subfield that focuses on analyzing, modifying and synthesizing signals, such as sound, , potential fields, seismic signals, altimetry processing, and scientific measurements. Signal processing techniques are used to optimize transmissions, digital storage efficiency, correcting distorted signals, subjective video quality and to also detect or pinpoint components of interest in a measured signal. According to Alan V. Oppenheim and Ronald W.

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Wavelets, subband coding, and best bases

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