# Signal estimation from modified short-time Fourier transform

@inproceedings{Griffin1983SignalEF, title={Signal estimation from modified short-time Fourier transform}, author={Daniel W. Griffin and Jae S. Lim}, booktitle={ICASSP}, year={1983} }

In this paper, we present an algorithm to estimate a signal from its modified short-time Fourier transform (STFT. [... ] Key Method Using this algorithm, we also develop an iterative algorithm to estimate a signal from its modified STFT magnitude. The iterative algorithm is shown to decrease, in each iteration, the mean squared error between the STFT magnitude of the estimated signal and the modified STFT magnitude. The major computation involved in the iterative algorithm is the discrete Fourier transform (DFT… Expand

## 740 Citations

Real-Time Signal Estimation From Modified Short-Time Fourier Transform Magnitude Spectra

- Computer ScienceIEEE Transactions on Audio, Speech, and Language Processing
- 2007

An algorithm for estimating signals from short-time magnitude spectra is introduced offering a significant improvement in quality and efficiency over current methods, and is applied to audio time-scale and pitch modification and compared to classical algorithms for these tasks on a variety of signal types.

Least squares estimate of the initial phases in STFT based speech enhancement

- EngineeringINTERSPEECH
- 2015

Simulations on synthetic and speech signals show a decreased error on the phase when an estimate of the initial phase is included compared to using the noisy phase as an initialisation.

Iterative reconstruction of speech from short-time Fourier transform phase and magnitude spectra

- PhysicsComput. Speech Lang.
- 2007

Speech synthesis from short-time Fourier transform magnitude and its application to speech processing

- EngineeringICASSP
- 1984

For the applications of speech synthesis from speech model parameters, time-scale modification of clean speech, speech enhancement by spectral subtraction, and helium speech enhancement, significant improvement is not gained by using the LSEE-MSTFTM algorithm.

Algorithms for signal reconstruction from short-time Fourier transform magnitude

- Computer ScienceICASSP
- 1983

This paper discusses a class of algorithms which reconstruct the short-time sections of a signal in an order determined by their positions on the time axis within the framework of sequential extrapolation techniques and finds that compared to direct reconstruction, the robust algorithms are less sensitive to roundoff errors.

New Approaches for Speech Enhancement in the Short-Time Fourier Transform Domain

- Computer Science
- 2016

Quality and noise reduction performance evaluations indicated the superiority of the proposed speech STSA estimation with respect to the previous estimators, and the presented approach provides a good reduction in implementation complexity.

Recent Developments in Speech Enhancement in the Short-Time Fourier Transform Domain

- Computer ScienceIEEE Circuits and Systems Magazine
- 2016

An overview of the conventional literature in the single- and multichannel cases of noise reduction in the short-time Fourier transform (STFT) domain and a detailed survey of the most recent advances in the STFT-based noise reduction methods are provided.

Adaptive Nonlinear System Identification in the Short-Time Fourier Transform Domain

- EngineeringIEEE Transactions on Signal Processing
- 2009

It is shown that estimation of the nonlinear component improves the MSE performance only when the power ratio of nonlinear to linear components is relatively high, and as the number of crossband filters increases, a lower steady-state MSE may be obtained at the expense of slower convergence.

A Least Squares Approach for Stable Phase Retrieval from Short-Time Fourier Transform Magnitude

- Computer ScienceArXiv
- 2015

This paper addresses the problem of recovering a signal from its short-time Fourier transform (STFT) magnitude measurements, which arises in several applications, including optical imaging and speech processing, and suggests three interrelated algorithms.

A Powerful Method for Extracting the Original Signal from the Noisy Input Signal by using the Iterative Reconstruction Framework of the Short Time Fourier Transformation

- Computer Science
- 2016

By using a method offered, when a lot of noise is added to the input speech, the original signal is reconstructed very well and can be extracted from the noisy input signal by using this method.

## References

SHOWING 1-10 OF 18 REFERENCES

Signal estimation from modified short-time Fourier transform

- Computer Science
- 1984

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.

Time-frequency representation of digital signals and systems based on short-time Fourier analysis

- Engineering
- 1980

This paper develops a representation for discrete-time signals and systems based on short-time Fourier analysis. The short-time Fourier transform and the time-varying frequency response are reviewed…

Signal reconstruction from the short-time Fourier transform magnitude

- EngineeringICASSP
- 1982

This paper presents various conditions that are sufficient for reconstructing a discrete-time signal from samples of its short-time Fourier transform magnitude. For applications such as speech…

Time-scale modification of speech based on short-time Fourier analysis

- Physics
- 1981

This paper develops the theoretical basis for time-scale modification of speech based on short-time Fourier analysis. The goal is the development of a high-quality system for changing the apparent…

Helium speech enhancement using the short-time Fourier transform

- Physics
- 1982

Speech produced in a hyperbaric helium-oxygen atmosphere suffers a variety of distortions which render it virtually unintelligible. This paper describes a new system for helium speech enhancement…

Short term spectral analysis, synthesis, and modification by discrete Fourier transform

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- 1977

A theory of short term spectral analysis, synthesis, and modification is presented with an attempt at pointing out certain practical and theoretical questions. The methods discussed here are useful…

Multimicrophone signal‐processing technique to remove room reverberation from speech signals

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A multimicrophone digital processing scheme for removing much of the degrading distortion in acoustic recordings produced in untreated rooms by dividing microphone signals into frequency bands whose corresponding outputs are cophased and added.

Iterative Procedures For Signal Reconstruction From Phase

- MathematicsOther Conferences
- 1980

The recent theoretical results pertaining to the phase-only reconstruction problem are reviewed and two iterative numerical algorithms for performing the reconstruction are discussed.

A weighted overlap-add method of short-time Fourier analysis/Synthesis

- Computer Science
- 1980

A new structure and a simplified interpretation of short-time Fourier synthesis using synthesis windows is presented and it is shown how this structure can be used for analysis/synthesis applications which require different analysis and synthesis rates, such as time compression or expansion.