Autoregressive modeling of temporal envelopes

IEEE Transactions on Signal Processing

Volumn 55, Issue 11, 2007, Pages 5237-5245

  Athineos, Marios ^a   Ellis, Daniel P W ^a  

^a Columbia University ^*  (United States)

Author keywords

Autoregressive (AR) modeling; Frequency domain linear prediction (FDLP); Hilbert envelope; Linear prediction in spectral domain (LPSD); Temporal noise shaping (TNS)

Indexed keywords

AUTOCORRELATION; DISCRETE COSINE TRANSFORMS; FREQUENCY DOMAIN ANALYSIS; HILBERT SPACES; MATHEMATICAL MODELS; SPECTRUM ANALYSIS; TIME DOMAIN ANALYSIS;

AUTOREGRESSIVE MODELING; FREQUENCY DOMAIN LINEAR PREDICTION; HILBERT ENVELOPE; LINEAR PREDICTION IN SPECTRAL DOMAIN; TEMPORAL NOISE SHAPING;

SIGNAL PROCESSING;

EID: 36248966385     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2007.898783     Document Type: Article

References (27)

1. D. Talkin, "Speech formant trajectory estimation using dynamic programming with modulated transition costs," AT&T Bell Laboratories, Tech. Rep. 11222-870720-07TM, 1987.
2. H. Hermansky, "Perceptual linear predictive (PLP) analysis of speech," J. Acoust. Soc. Amer., vol. 87, no. 4, pp. 85-111, Apr. 1990.
3. J. Herre and J. D. Johnston, "Enhancing the performance of perceptual audio coders by using temporal noise shaping (TNS)," presented at the 101 st AES Conv., Nov. 1996.
4. N. S. Jayant and P. Noll, Digital Coding of Waveforms: Principles and Applications to Speech and Video. Englewood Cliffs, NJ: Prentice-Hall, 1984.
5. J. Herre and J. D. Johnston, "Continuously signal-adaptive filterbank for high-quality perceptual audio coding," presented at the IEEE WASPAA, Oct. 1997.
6. J. Herre and J. D. Johnston, "Exploiting both time and frequency structure in a system that uses an analysis/synthesis filterbank with high frequency resolution," presented at the 103rd AES Conv., Sep. 1997.
7. J. Herre, "Temporal noise shaping, quantization and coding methods in perceptual audio coding: A tutorial introduction," presented at the AES 17th Conf. High Quality Audio Coding, Sep. 1999.
8. R. Kumaresan, "An inverse signal approach to computing the envelope of a real valued signal," IEEE Signal Process. Lett., vol. 5, no. 10, pp. 256-259, Oct. 1998.
9. R. Kumaresan and A. Rao, "Unique positive FM-AM decomposition of signals," Multidimen. Syst. Signal Process., vol. 9, no. 4, pp. 411-418, Oct. 1998.
10. R. Kumaresan and A. Rao, "Model-based approach to envelope and positive instantaneous frequency estimation of signals with speech applications," J. Acoust. Soc. Amer., vol. 105, no. 3, pp. 1912-1924, Mar. 1999.
11. R. Kumaresan, "On minimum/maximum/all-pass decompositions in time and frequency domains," IEEE Trans. Signal Process., vol. 48, no. 10, pp. 2973-2976, Oct. 2000.
12. R. Kumaresan and Y. Wang, "On the relationship between line-spectral frequencies and zero-crossings of signals," IEEE Trans. Speech Audio Processing, vol. 9, no. 4, pp. 458-461, May 2001.
13. R. Kumaresan and Y. Wang, "On representing signals using only timing information," J. Acoust. Soc. Am., vol. 110, no. 5, pp. 2421-2439, Nov. 2002.
14. S. A. Martucci, "Symmetric convolution and the discrete sine and cosine transforms," IEEE Trans. Signal Process., vol. 42, no. 5, pp. 1038-1051, May 1994.
15. Z. Wang and B. R. Hunt, "The discrete W transform," Appl. Math. Comput., vol. 16, no. 1, pp. 19-48, Jan. 1985.
16. D. Gabor, "Theory of communication," J. IEE, vol. 93, pp. 429-457, 1946.
17. A. V. Oppenheim, R. W. Schafer, and J. R. Buck, Discrete-Time Signal Processing, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 1999.
18. L. S. Marple, "Computing the discrete-time 'analytic' signal via FFT," IEEE Trans. Signal Process., vol. 47, no. 9, pp. 2600-2603, Sep. 1999.
19. L. Cohen, Time-Frequency Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1995.
20. P. J. Davis, Circulant Matrices. New York: Wiley, 1979.
21. H. A. Stone, "Convolution theorems for linear transforms," IEEE Trans. Signal Process., vol. 46, no. 10, pp. 2819-2821, Oct. 1998.
22. J. Makhoul, "Linear prediction: A tutorial review," Proc. IEEE, vol. 63, no. 4, pp. 561-580, Apr. 1975.
23. M. Athineos and D. Ellis, "Frequency-domain linear prediction for temporal features," in Proc. IEEE ASRU Workshop, Dec. 2003, pp. 261-266.
24. M. Athineos and D. Ellis, "Sound texture modelling with linear prediction in both time and frequency domains," in Proc. IEEE ICASSP Apr. 2003, pp. 648-651.
25. E. Schuijers, W. Oomen, B. den Brinker, and J. Breebaart, "Advances in parametric coding for high-quality audio," presented at the 114st AES Conv., Mar. 2003.
26. Coding of Audio-Visual Objects. Tart3: Audio, AMENDMENT2: Parametric Coding of High Quality Audio, ISO/IEC Int. Std. 14496-3:2001/ Amd2:2004, ISO/IEC, Jul. 2004, ISO/IEC.
27. M. Schroeder and B. Atal, "Code-excited linear prediction (CELP): High-quality speech at very low bit rates," in Proc. IEEE ICASSP, Apr. 1985, vol. 10, pp. 937-940.