Journal ArticleDOI
Signal reconstruction from short-time Fourier transform magnitude
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TLDR
A signal is shown to be uniquely represented by the magnitude of its short-time Fourier transform (STFT) under mild restrictions on the signal and the analysis window of the STFT.Abstract:
In this paper, a signal is shown to be uniquely represented by the magnitude of its short-time Fourier transform (STFT) under mild restrictions on the signal and the analysis window of the STFT. Furthermore, various algorithms are developed which reconstruct signal from appropriate samples of the STFT magnitude. Several of the algorithms can also be used to obtain signal estimates from the processed STFT magnitude, which generally does not have a valid short-time structure. These algorithms are successfully applied to the time-scale modification and noise reduction problems in speech processing. Finally, the results presented here have similar potential for other application areas, including those with multidimensional signals.read more
Citations
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Journal ArticleDOI
Signal estimation from modified short-time Fourier transform
D. Griffin,Jae Lim +1 more
TL;DR: An algorithm to estimate a signal from its modified short-time Fourier transform (STFT) by minimizing the mean squared error between the STFT of the estimated signal and the modified STFT magnitude is presented.
Journal ArticleDOI
Measuring ultrashort laser pulses in the time-frequency domain using frequency-resolved optical gating
Rick Trebino,Kenneth W. DeLong,David N. Fittinghoff,John N. Sweetser,Marco A. Krumbügel,Bruce A. Richman,Daniel J. Kane +6 more
TL;DR: In this article, the authors summarize the problem of measuring an ultrashort laser pulse and describe in detail a technique that completely characterizes a pulse in time: frequency-resolved optical gating.
Journal ArticleDOI
Characterization of arbitrary femtosecond pulses using frequency-resolved optical gating
Daniel J. Kane,Rick Trebino +1 more
TL;DR: The frequency-resolved optical gating (FROG) technique as discussed by the authors was proposed to measure the spectrum of the signal pulse as a function of the delay between two input pulses and the resulting trace of intensity versus frequency and delay is related to the pulse's spectrogram a visually intuitive transform containing time and frequency information.
Journal ArticleDOI
Using phase retrieval to measure the intensity and phase of ultrashort pulses: frequency-resolved optical gating
Rick Trebino,Daniel J. Kane +1 more
TL;DR: In this article, an iterative Fourier transform (IFT) algorithm was proposed for inverting the frequency-resolved optical gating (FROG) trace to obtain the pulse intensity and phase.
Journal ArticleDOI
Multiband excitation vocoder
Daniel W. Griffin,Jae Lim +1 more
TL;DR: A speech model, referred to as the multiband excitation model, is presented where the band around each harmonic of the fundamental frequency is declared voiced or unvoiced and methods to synthesize speech from the model parameters are described.
References
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Journal Article
A practical algorithm for the determination of phase from image and diffraction plane pictures
TL;DR: In this article, an algorithm is presented for the rapid solution of the phase of the complete wave function whose intensity in the diffraction and imaging planes of an imaging system are known.
Book
Digital Processing of Speech Signals
TL;DR: This paper presents a meta-modelling framework for digital Speech Processing for Man-Machine Communication by Voice that automates the very labor-intensive and therefore time-heavy and expensive process of encoding and decoding speech.
Journal ArticleDOI
Enhancement and bandwidth compression of noisy speech
Jae Lim,Alan V. Oppenheim +1 more
TL;DR: An overview of the variety of techniques that have been proposed for enhancement and bandwidth compression of speech degraded by additive background noise is provided to suggest a unifying framework in terms of which the relationships between these systems is more visible and which hopefully provides a structure which will suggest fruitful directions for further research.
Journal ArticleDOI
Short term spectral analysis, synthesis, and modification by discrete Fourier transform
TL;DR: In this article, a theory of short term spectral analysis, synthesis, and modification is presented with an attempt at pointing out certain practical and theoretical questions, which are useful in designing filter banks when the filter bank outputs are to be used for synthesis after multiplicative modifications are made to the spectrum.
Journal ArticleDOI
Time-frequency representation of digital signals and systems based on short-time Fourier analysis
TL;DR: In this article, the authors developed a representation for discrete-time signals and systems based on short-time Fourier analysis and showed that a class of linear-filtering problems can be represented as the product of the time-varying frequency response of the filter multiplied by the short time Fourier transform of the input signal.