Name
Title | ||
|---|---|---|
Optimized Polynomial Spline Basis Function Design for Quasi-Bandlimited Classical Waveform Synthesis |
Abstract | ||
|---|---|---|
Classical geometric waveforms used in virtual analog synthesis suffer from aliasing distortion when simple sampling is used. An efficient antialiasing technique is based on expressing the waveforms as a filtered sum of time-shifted approximately bandlimited polynomial-spline basis functions. It is shown that by optimizing the coefficients of the basis function so that the aliasing distortion is perceptually minimized, the alias-free bandwidth of classical waveforms can be expanded. With the best of the case examples given here, the generated impulse-train and sawtooth waveform are alias-free up to fundamental frequencies over 10 kHz when the sampling rate is 44.1 kHz. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1109/LSP.2012.2183123 | Signal Processing Letters, IEEE |
Keywords | Field | DocType |
signal sampling,splines (mathematics),alias-free bandwidth,aliasing distortion,antialiasing technique,classical geometric waveforms,frequency 44.1 kHz,generated impulse-train waveform,optimized polynomial spline basis function design,quasibandlimited classical waveform synthesis,sawtooth waveform,time-shifted approximately bandlimited polynomial-spline basis functions,virtual analog synthesis,Acoustic signal processing,antialiasing,audio oscillators,interpolation,music,signal synthesis | Spline (mathematics),Mathematical optimization,Polynomial,Waveform,Sampling (signal processing),Aliasing,Basis function,Sawtooth wave,Distortion,Mathematics | Journal |
Volume | Issue | ISSN |
19 | 3 | 1070-9908 |
Citations | PageRank | References |
2 | 0.44 | 8 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jussi Pekonen | 1 | 9 | 1.75 |
| Juhan Nam | 2 | 261 | 25.12 |
| Julius O. Smith | 3 | 720 | 155.42 |
| Vesa Välimäki | 4 | 474 | 100.64 |