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Higher Order Delay Line Interpolation
Subsections
Lagrange Interpolation
Relation of Lagrange and Sinc Interpolation
Lagrange Interpolation Optimality
Lagrange Interpolation Coefficients Formula
Lagrange Interpolation Coefficients for Orders 1, 2, 3
Matlab Code for Lagrange Interpolation
Polynomial Parametrization of Interpolating Filter
Farrow Structure for Variable Delay FIR Filters
Thiran Allpass Interpolators
Thiran Allpass Interpolation in Matlab or Octave
Group Delays of Thiran Allpass Interpolators
Bandlimited Interpolation
Theory of Ideal Bandlimited Interpolation
From Theory to Practice
Implementation
Quantization Issues
Choice of Table Size
Choice of Interpolation Resolution
Summary of Windowed Sinc Interpolation
Periodic Sinc Interpolation
Linear Interpolation as a Filter
Convolution Interpretation
Frequency Response of Linear Interpolation
The Triangular Pulse as a Convolution of Two Rectangular Pulses
Fourier Transforming the Triangular Pulse
Special Cases
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[How to cite and copy this work]
``
Physical Audio Signal Processing for Virtual Musical Instruments and Digital Audio Effects
'', by
Julius O. Smith III
, (December 2005 Edition).
Copyright ©
2006-07-01
by
Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),
Stanford University
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