Menu
Home
People
Places
Arts
History
Plants & Animals
Science
Life & Culture
Technology
Reference.org
Harmonic wavelet transform
open-in-new
<p>In the <a href="/facts/Mathematics/pxTouaz4">mathematics</a> of <a href="/facts/Signal_processing/Npaja6zb">signal processing</a>, the harmonic wavelet transform, introduced by David Edward Newland in 1993, is a <a href="/facts/Wavelet/3XcX4uIP">wavelet</a>-based linear transformation of a given function into a <a href="/facts/Time-frequency_representation/b3BqBScJ">time-frequency representation</a>. It combines advantages of the <a href="/facts/Short-time_Fourier_transform/XHo1t2m6">short-time Fourier transform</a> and the <a href="/facts/Continuous_wavelet_transform/nGUoUAKX">continuous wavelet transform</a>. It can be expressed in terms of repeated <a href="/facts/Fourier_transform/XXhKJtc8">Fourier transforms</a>, and its discrete analogue can be computed efficiently using a <a href="/facts/Fast_Fourier_transform/caT7UUCh">fast Fourier transform</a> algorithm. </p>