Fast Additive Sinusoidal Synthesis With a Subband Sinusoidal Method

We propose a subband sinusoidal (SS) synthesis algorithm for fast additive synthesis of time-varying sinusoids. The algorithm is based on a subband sinusoidal method which links a narrow band of the discrete Fourier transform (DFT) with a sinusoidal representation, facilitating direct access to sinusoidal parameters within the DFT framework. This enables the development of the proposed sinusoid synthesizer that exhibits accuracy close to direct sinusoidal modelling synthesis and efficiency comparable to conventional overlap-add with fast Fourier transforms.

[1]  John M. Chowning,et al.  The Synthesis of Complex Audio Spectra by Means of Frequency Modulation , 1973 .

[2]  Michael Goodwin,et al.  Overlap-Add Synthesis of NonStationary Sinusoids , 1995, ICMC.

[3]  Xue Wen,et al.  On the Characterization of Slowly Varying Sinusoids , 2010, EURASIP J. Audio Speech Music. Process..

[4]  Paavo Alku,et al.  Bandwidth Extension of Telephone Speech to Low Frequencies Using Sinusoidal Synthesis and a Gaussian Mixture Model , 2012, IEEE Transactions on Audio, Speech, and Language Processing.

[5]  Victor Lazzarini,et al.  Theory and Practice of Modified Frequency Modulation Synthesis , 2010 .

[6]  Rade Kutil.  Optimized Sinusoid Synthesis via Inverse Truncated Fourier Transform , 2009, IEEE Transactions on Audio, Speech, and Language Processing.

[7]  P. Depalle,et al.  Spectral Envelopes and Inverse FFT Synthesis , 1992 .

[8]  Xavier Serra,et al.  A sound analysis/synthesis system based on a deterministic plus stochastic decomposition , 1990 .

[9]  Julius O. Smith,et al.  Spectral modeling synthesis: A sound analysis/synthesis based on a deterministic plus stochastic decomposition , 1990 .

[10]  Robert M. Nickel,et al.  Speech Enhancement With Inventory Style Speech Resynthesis , 2010, IEEE Transactions on Audio, Speech, and Language Processing.

[11]  Vesa Välimäki,et al.  Oscillator and Filter Algorithms for Virtual Analog Synthesis , 2006, Computer Music Journal.

[12]  Ronald E. Crochiere,et al.  A weighted overlap-add method of short-time Fourier analysis/Synthesis , 1980 .

[13]  Thomas F. Quatieri,et al.  Speech analysis/Synthesis based on a sinusoidal representation , 1986, IEEE Trans. Acoust. Speech Signal Process..

[14]  Jean Laroche.  Synthesis of sinusoids via non-overlapping inverse Fourier transform , 2000, IEEE Trans. Speech Audio Process..

[15]  S. Schwerman,et al.  The Physics of Musical Instruments , 1991 .

[16]  Marek Domanski,et al.  Enhanced coding of high-frequency tonal components in MPEG-D USAC through joint application of ESBR and sinusoidal modeling , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).