2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) 2015
DOI: 10.1109/icassp.2015.7178455
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Novel GCC-PHAT model in diffuse sound field for microphone array pairwise distance based calibration

Abstract: We propose a novel formulation of the generalized cross correlation with phase transform (GCC-PHAT) for a pair of microphones in diffuse sound field. This formulation elucidates the links between the microphone distances and the GCC-PHAT output. Hence, it leads to a new model that enables estimation of the pairwise distances by optimizing over the distances best matching the GCC-PHAT observations. Furthermore, the relation of this model to the coherence function is elaborated along with the dependency on the s… Show more

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Cited by 19 publications
(8 citation statements)
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“…TDOA estimate is obtained as the peak position in the IDFT of the normalized cross spectrum. TDOA estimation by GCC-PHAT works with low computational cost, archives good estimation accuracy under low noise environments, even with high reverberation [13], [14]. However, estimation accuracy degrades when SNR becomes lower.…”
Section: Conventional Methodsmentioning
confidence: 99%
“…TDOA estimate is obtained as the peak position in the IDFT of the normalized cross spectrum. TDOA estimation by GCC-PHAT works with low computational cost, archives good estimation accuracy under low noise environments, even with high reverberation [13], [14]. However, estimation accuracy degrades when SNR becomes lower.…”
Section: Conventional Methodsmentioning
confidence: 99%
“…The first one (sec. IV A) relies on a low-rank and sparse decomposition of noisy TDOA observations (Velasco et al, 2016). Then the low-rank part is the denoised data, which can be used with any TDOA calibration method from the state of the art.…”
Section: B Our Contributionmentioning
confidence: 99%
“…For the -th measured subset { } the noise model from equation 16is rewritten in the matrix form: 17leads to a structured decomposition (Velasco et al, 2016). Indeed, is a sparse matrix and is such that rank( ) = 2.…”
Section: Outlier-aware Tdoa Geometric Calibrationmentioning
confidence: 99%
“…Delays between sound channels are calculated by GCC algorithms [25]. Two different types of GCC algorithms which are basic GCC and Generalized Cross Correlation with Phase Transform (GCC-PHAT) are used in this paper [26][27]. The GCC of the signals recorded by two microphones is given by…”
Section: Amplitude (V)mentioning
confidence: 99%
“…The moving average filter is shown in (26). The parameters including [ ], [ ], and refer to the input signal, the output signal, and the number of points used in the moving average filter, respectively [28].…”
Section: Sound Delay Estimationmentioning
confidence: 99%