J. P. Ovarlez, J. Bertrand, and P. Bertrand, "Computation of affine time-frequency distributions using the fast Mellin transform," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing --- ICASSP '92, vol. V, pp. 117--120, 1992. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
The Power Classes - Quadratic Time-Frequency.. - Hlawatsch.. (1999) (5 citations) (Correct)
.... of the QTFR expressions in (26) 29) using numerical integration is very expensive, we propose to base the discrete implementation of PC QTFR s on the warping relations (13) and (14) this allows us to compute PC QTFR s using existing efficient algorithms for computing affine class QTFR s [54]. This approach is similar conceptually to that of the Canfield and Jones implementation of hyperbolic class QTFR s [55] 56] The algorithm we propose consists of discretized versions of the following three steps: Step 1) a power law frequency warping of the signal according to (14) Step 2) ....
....will be denoted by . Step 2) A discrete time, discrete frequency version of the affine QTFR is computed for the warped frequency signal . The underlying time frequency sampling grid is assumed to be uniform. Efficient algorithms for computing affine QTFR s on uniform grids can be found in [54]. Step 3) We perform a frequency axis warping and, subsequently, a time axis warping of the discrete affine QTFR calculated in Step 2) The frequency axis warping implements a discrete version of the continuous frequency warping . Hence, for each uniformly spaced frequency sample , we need to ....
J. P. Ovarlez, J. Bertrand, and P. Bertrand, "Computation of affine timefrequency distributions using the fast Mellin transform," in Proc. IEEE ICASSP, San Francisco, CA, 1992, pp. 117--120.
New Orthonormal Bases And Frames Using Chirp Functions - Baraniuk, Jones (Correct)
....set to match a signal is equivalent to prewarping the signal to match the original basis. Efficient computation of the prewarped signal Theta Gamma1 c s should be possible using techniques analogous to the fast Mellin transform, which requires a geometric scaling of the transform axis [13] [14], 15] 3 Generalized Gabor and Wilson Bases: The Resetting Chevron Bases 3.1 Basis elements The mathematical machinery of the previous section can also be applied to the Gabor and Wilson bases. Since the axis warping operator c of (11) maps functions z(v) that vary linearly in v to functions ....
J. P. Ovarlez, J. Bertrand, and P. Bertrand, "Computation of affine time-frequency distributions using the fast Mellin transform," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing --- ICASSP '92, vol. V, pp. 117--120, 1992.
A Pseudo-Bertrand Distribution for - Time-Scale Analysis Paulo Self-citation (Bertrand) (Correct)
No context found.
J. P. Ovarlez, J. Bertrand, and P. Bertrand, "Computation of affine time-frequency distributions using the fast Mellin transform," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing --- ICASSP '92, (San Francisco, CA, USA), pp. V117--V120, 1992.
A Pseudo-Bertrand Distribution for Time-Scale Analysis - Gonçalvès, Baraniuk Self-citation (Bertrand) (Correct)
....distribution runs as follows: 1. Compute the wavelet transform D x (t; f) with wavelet ( h( e i2 . Samples should be spaced uniformly in time and exponentially in frequency. 2. At each time t, for a range of u, rescale D x (t; f) to D x (t; Sigmau)f ) using the Mellin transform [8], which maps scale changes to simple phase shifts. Since the Mellin transform of a function z(v) equals the Fourier transform of z(e v ) a fast Fourier transform (FFT) applied to the exponentially spaced frequency samples of D x (t; f) implements a fast Mellin transform. 3. At each time t, ....
....equals the Fourier transform of z(e v ) a fast Fourier transform (FFT) applied to the exponentially spaced frequency samples of D x (t; f) implements a fast Mellin transform. 3. At each time t, compute the inner product (10) with respect to u. Using a fast algorithm for the wavelet transform [8, 9], the computational cost of this procedure is O(MN log M) for N time and M frequency samples, 3 which is on the same order as the cost for the spectrogram, pseudo Wigner distribution, and scalogram. In addition to being computationally efficient, the pseudo Bertrand distribution suppresses ....
J. P. Ovarlez, J. Bertrand, and P. Bertrand, "Computation of affine time-frequency distributions using the fast Mellin transform," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing --- ICASSP '92, (San Francisco, CA, USA), pp. V117--V120, 1992.
Shear Madness: - New Orthonormal Bases (Correct)
No context found.
J. P. Ovarlez, J. Bertrand, and P. Bertrand, "Computation of affine time-frequency distributions using the fast Mellin transform," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing --- ICASSP '92, vol. V, pp. 117--120, 1992.
Pseudo Affine Wigner Distributions - Paulo Goncalves Richard (Correct)
No context found.
J. P. Ovarlez, J. Bertrand, and P. Bertrand, "Computation of affine time-frequency distributions using the fast Mellin transform," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing --- ICASSP '92, (San Francisco, CA, USA), pp. V117--V120, 1992.
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