NDLI: Signal synthesis from modified discrete short-time transform

Content Provider	IEEE Xplore Digital Library
Author	Dembo, A. Malah, D.
Copyright Year	1974
Abstract	The discrete short-time transform (DSTT) is a generalization of the discrete short-time Fourier transform (DSTFT). The necessary and sufficient conditions on the analysis filter, under which perfect reconstruction of the input signal is possible (when the DSTT is not modified), are presented. The class of linear modifications for which the original input can be reconstructed when the modification is applied is characterized. The synthesis of an optimal (in the minimum-mean-square-error sense) signal from a modified DSTT (MDSTT) of finite duration is presented. It is shown that for an analysis filter length that does not exceed a given value, the optimal synthesis scheme is independent of the duration of the given MDSTT and is an extension of the weighted overlap add (WOLA) synthesis method. For longer analysis filters, the optimal synthesis scheme becomes quite cumbersome, and therefore, a steady-state solution (as the duration of the MDSTT approaches infinity) is presented for this case. It is shown that this solution can be approximated with arbitrarily small reconstruction error.<>
Starting Page	168
Ending Page	181
Page Count	14
File Size	1303533
File Format	PDF
ISSN	00963518
Volume Number	36
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1988-02-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Signal synthesis Discrete transforms Finite impulse response filter Fourier transforms Signal analysis Speech synthesis Speech enhancement Discrete Fourier transforms Sufficient conditions Speech analysis
Content Type	Text
Resource Type	Article
Subject	Signal Processing

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