Linear systems in Gabor time-frequency space

Farkash, S.; Raz, S.

doi:10.1109/78.277853

Cited by 22 publications

(5 citation statements)

References 20 publications

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“…[14,11,12] for prominent examples, or section 2.8 in [13]). For early occurrences of discrete variants of Gabor multipliers (usually with O/l-symbols, describing a certain region of interest) we refer to [21,22,61,74], and in particular Chap. 9 on time-varying filtering in the book of Qian-Chen ( [68]).…”

Section: Gabor Multipliers and Time-varying Filtersmentioning

confidence: 99%

A First Survey of Gabor Multipliers

Feichtinger¹,

Nowak²

2003

Advances in Gabor Analysis

114

132

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Section: Gabor Multipliers and Time-varying Filtersmentioning

confidence: 99%

A First Survey of Gabor Multipliers

Feichtinger¹,

Nowak²

2003

Advances in Gabor Analysis

114

132

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“…Under the CTF approximation, the noise canceler is reduced to a band-to-band filter at each sub-band. Thus, similarly to (5) and (7), (8) can be written in the STFT domain aŝ…”

Section: Noise Cancelermentioning

confidence: 98%

“…Let P denote the number of time frames of the source signal s(n), N denote the length of each time frame, and L denote the framing step. According to [6], [7], [8] a filter convolution in the time domain is transformed into a sum of N cross-band filter convolutions in the STFT domain. Hence, we can represent (2) in the STFT domain…”

Section: Problem Formulationmentioning

confidence: 99%

Multichannel speech enhancement using convolutive transfer function approximation in reverberant environments

Talmon

Cohen

Gannot

2009

2009 IEEE International Conference on Acoustics, Speech and Signal Processing

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Recently, we have presented a transfer-function generalized sidelobe canceler (TF-GSC) beamformer in the short time Fourier transform domain, which relies on a convolutive transfer function approximation of relative transfer functions between distinct sensors. In this paper, we combine a delay-and-sum beamformer with the TF-GSC structure in order to suppress the speech signal reflections captured at the sensors in reverberant environments. We demonstrate the performance of the proposed beamformer and compare it with the TF-GSC. We show that the proposed algorithm enables suppression of reverberations and further noise reduction compared with the TF-GSC beamformer.

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“…17,[22][23][24]42,45,46,105,106 They are an intuitively appealing, practical way of implementing a time-varying filter. In a time-frequency-discretized form, they permit time-varying subband signal processing using the Gabor expansion 12,19,107,108 or, equivalently, DFT filter banks. 23,[109][110][111][112][113][114] Furthermore, in a mathematical context short-time Fourier transform filters are a special case of Toeplitz operators.…”

Section: F Performance Of the Short-time Fourier Transform Filtermentioning

confidence: 99%

Time-frequency transfer function calculus (symbolic calculus) of linear time-varying systems (linear operators) based on a generalized underspread theory

Matz

Hlawatsch

1998

Journal of Mathematical Physics

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Articles you may be interested inDynamic programming based time-delay estimation technique for analysis of time-varying time-delay Rev. Sci. Instrum. 81, 013501 (2010); 10.1063/1.3280161 Q-S (complete or anticipated) synchronization backstepping scheme in a class of discrete-time chaotic (hyperchaotic) systems: A symbolic-numeric computation approachWe introduce a generalized concept of underspread linear time-varying systems ͑linear operators͒ which contains a previous definition as a special case. We show that an existing approximate transfer function calculus ͑symbolic calculus͒ can be extended to this wider and practically more relevant class of underspread operators. As a mathematical underpinning of this calculus, we establish explicit bounds on various error quantities associated with it. The transfer function calculus provides a theoretical basis for various methods recently proposed for nonstationary signal processing, and it has important implications in the theory of time-varying power spectra.

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Linear systems in Gabor time-frequency space

Cited by 22 publications

References 20 publications

A First Survey of Gabor Multipliers

A First Survey of Gabor Multipliers

Multichannel speech enhancement using convolutive transfer function approximation in reverberant environments

Time-frequency transfer function calculus (symbolic calculus) of linear time-varying systems (linear operators) based on a generalized underspread theory

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