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I. Kauppinen, J. Kauppinen, and P. Saarinen, "A Method for Long Extrapolation of Audio Signals," J. Audio Eng. Soc., vol. 49, no. 12, pp. 1167-1180, (2001 December.). doi: I. Kauppinen, J. Kauppinen, and P. Saarinen, "A Method for Long Extrapolation of Audio Signals," J. Audio Eng. Soc., vol. 49 Issue 12 pp. 1167-1180, (2001 December.). doi:
Abstract: A new method for a long extrapolation of audio signals is presented. The method is fast and can extrapolate several thousand samples of noisy audio signals. All the information for the extrapolation is taken from the signal itself, so that no additional knowledge about the signal content is required. The basic theory is presented and tested by simulation. The major problem for optimal extrapolation is the determination of the impulse response of the signal. Different methods to solve the impulse response are described. The requirements for the signals that can be extrapolated are studied. The ability of the method to extrapolate audio signals with different types of amplitude envelopes is studied and simulated. The fact that signals with exponential or polynomial amplitude envelopes can be extrapolated is proven. A mathematical measurement tool for the quality of the extrapolation is presented. The effect of noise on the extrapolation is also studied. The method is tested with real music signals.

@article{kauppinen2001a,
author={kauppinen, ismo and kauppinen, jyrki and saarinen, pekka},
journal={journal of the audio engineering society},
title={a method for long extrapolation of audio signals},
year={2001},
volume={49},
number={12},
pages={1167-1180},
doi={},
month={december},} @article{kauppinen2001a,
author={kauppinen, ismo and kauppinen, jyrki and saarinen, pekka},
journal={journal of the audio engineering society},
title={a method for long extrapolation of audio signals},
year={2001},
volume={49},
number={12},
pages={1167-1180},
doi={},
month={december},
abstract={a new method for a long extrapolation of audio signals is presented. the method is fast and can extrapolate several thousand samples of noisy audio signals. all the information for the extrapolation is taken from the signal itself, so that no additional knowledge about the signal content is required. the basic theory is presented and tested by simulation. the major problem for optimal extrapolation is the determination of the impulse response of the signal. different methods to solve the impulse response are described. the requirements for the signals that can be extrapolated are studied. the ability of the method to extrapolate audio signals with different types of amplitude envelopes is studied and simulated. the fact that signals with exponential or polynomial amplitude envelopes can be extrapolated is proven. a mathematical measurement tool for the quality of the extrapolation is presented. the effect of noise on the extrapolation is also studied. the method is tested with real music signals.},}

TY - paper
TI - A Method for Long Extrapolation of Audio Signals
SP - 1167 EP - 1180
AU - Kauppinen, Ismo
AU - Kauppinen, Jyrki
AU - Saarinen, Pekka
PY - 2001
JO - Journal of the Audio Engineering Society
IS - 12
VO - 49
VL - 49
Y1 - December 2001 TY - paper
TI - A Method for Long Extrapolation of Audio Signals
SP - 1167 EP - 1180
AU - Kauppinen, Ismo
AU - Kauppinen, Jyrki
AU - Saarinen, Pekka
PY - 2001
JO - Journal of the Audio Engineering Society
IS - 12
VO - 49
VL - 49
Y1 - December 2001
AB - A new method for a long extrapolation of audio signals is presented. The method is fast and can extrapolate several thousand samples of noisy audio signals. All the information for the extrapolation is taken from the signal itself, so that no additional knowledge about the signal content is required. The basic theory is presented and tested by simulation. The major problem for optimal extrapolation is the determination of the impulse response of the signal. Different methods to solve the impulse response are described. The requirements for the signals that can be extrapolated are studied. The ability of the method to extrapolate audio signals with different types of amplitude envelopes is studied and simulated. The fact that signals with exponential or polynomial amplitude envelopes can be extrapolated is proven. A mathematical measurement tool for the quality of the extrapolation is presented. The effect of noise on the extrapolation is also studied. The method is tested with real music signals.