Mathematical functions for musical analysis, processing, synthesis or composition

Full Title

Aspects of algorithms or signal processing methods without intrinsic musical character, yet specifically adapted for or used in electrophonic musical processing > Mathematical functions for musical analysis, processing, synthesis or composition

Child Classifications

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• G10H 2250/135 Autocorrelation
• G10H 2250/141 Bessel functions, e.g. for smoothing or modulating, for FM audio synthesis or for expressing the vibration modes of a circular drum membrane
• G10H 2250/145 Convolution, e.g. of a music input signal with a desired impulse response to compute an output
• G10H 2250/151 Fuzzy logic
• G10H 2250/155 Graham function, i.e. mathematical description of the fluid dynamics of air flowing through a gap, where there is a given pressure differential on either side of the gap, e.g. to model air velocity in wind instruments for physical modeling sound synthesis
• G10H 2250/161 Logarithmic functions, scaling or conversion, e.g. to reflect human auditory perception of loudness or frequency
• G10H 2250/165 Polynomials, i.e. musical processing based on the use of polynomials, e.g. distortion function for tube amplifier emulation, filter coefficient calculation, polynomial approximations of waveforms, physical modeling equation solutions
• G10H 2250/211 Random number generators, pseudorandom generators, classes of functions therefor
• G10H 2250/215 Transforms, i.e. mathematical transforms into domains appropriate for musical signal processing, coding or compression
• G10H 2250/261 Window, i.e. apodization function or tapering function amounting to the selection and appropriate weighting of a group of samples in a digital signal within some chosen time interval, outside of which it is zero valued