In mathematics and signal processing, a metaplectomorphism is a transformation by way of an operator from a metaplectic group of operators. Mathematics is the study of quantity, structure, space and change. ... Signal processing is the processing, amplification and interpretation of signals. ... The Segal-Shale-Weil distribution is a distribution based on metaplectomorphisms of a plane of two canonical conjugate variables; such as time and frequency. ...
Examples of metaplectomorphisms, in time-frequency, include:
translation in time;
translation in frequency;
dilation in time (which, by the way, also results in contraction in frequency);
chirping (introduction of a time-varying frequency-shift);
dispersion (introduction of a frequency-varying time-shift).
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The Segal-Shale-Weil distribution is a distribution based on metaplectomorphisms of a plane of two canonical conjugate variables; such as time and frequency.
Metaplectomorphisms, based on the metaplectic group (the double covering of the symplectic group), are useful in the field of chirplet analysis, since they define q-chirplets (quadratic chirplets).
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