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

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 > 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

Child Classifications

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• G10H 2250/171 Hermite polynomials
• G10H 2250/175 Jacobi polynomials of several variables, e.g. Heckman-Opdam polynomials, or of one variable only, e.g. hypergeometric polynomials
• G10H 2250/195 Lagrange polynomials, e.g. for polynomial interpolation or cryptography
• G10H 2250/201 Parabolic or second order polynomials, occurring, e.g. in vacuum tube distortion modeling or for modeling the gate voltage to drain current relationship of a JFET
• G10H 2250/205 Third order polynomials, occurring, e.g. in vacuum tube distortion modeling