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Adaptive Musical Control of Time-Frequency Representations

  • Doug Van Nort
  • Phillippe Depalle
Part of the Springer Handbooks book series (SHB)

Abstract

In this chapter we consider control structures and mapping in the process of deciding upon the underlying sonic algorithm for a digital musical instrument. We focus on control of timbral and textural phenomena that arise from the interaction and modulation of stationary spectral components, as well as from stochastic elements of sound. Given this observation and general design criteria, we focus on a family of sound models that parameterize the stationary and stochastic components using a spectral representation that is commonly based on an underlying short-time Fourier transform (STFT ) analysis. Using this as a fundamental approach we build a dynamic model of sound analysis and synthesis, focusing on a design that will simultaneously lead to musically interesting transformations of textural and noise-based sound features while allowing for control structures to be integrated into the sound dynamics. Building upon well-established adaptive algorithms such as the Kalman Filter, we present a recursive-exponential implementation, and exploit a fast algorithm derivation in order to process both additive data and the full underlying phase vocoder. The model is further augmented to allow for nonlinear adaptive control, pointing towards new directions for adaptive musical control of time-frequency models.

AR

autoregressive

ARMA

autoregressive moving average

DFT

discrete Fourier transformation

EKF

extended Kalman filter

IIR

infinite impulse response

KF

Kalman filter

MSD

mass-spring-damper

RESTFT

recursive exponential short-time Fourier transform

SMS

spectral modeling synthesis

SSR

state-space representation

SSSPV

stochastic state-space phase vocoder

STFT

short-term Fourier transform/short-time Fourier transform

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Copyright information

© Springer-Verlag Berlin Heidelberg 2018

Authors and Affiliations

  1. 1.Computational Arts and Theatre & Performance StudiesYork UniversityTorontoCanada
  2. 2.Schulich School of MusicMcGill UniversityMontrealCanada

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