Compressive spectral estimation for nonstationary random processes

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

Volumn , Issue , 2009, Pages 3029-3032

  Jung, Alexander ^a   Tauböck, Georg ^a   Hlawatsch, Franz ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

Basis pursuit; Compressed sensing; Gabor expansion; Nonstationary spectral estimation; Sparse reconstruction; Wigner Ville spectrum

Indexed keywords

BASIS PURSUIT; COMPRESSED SENSING; GABOR EXPANSION; NONSTATIONARY SPECTRAL ESTIMATION; SPARSE RECONSTRUCTION; WIGNER-VILLE SPECTRUM;

ACOUSTICS; ESTIMATION; RANDOM PROCESSES; SIGNAL PROCESSING; SIGNAL RECONSTRUCTION; SPECTRUM ANALYSIS; VOTING MACHINES;

FREQUENCY ESTIMATION;

EID: 70349214785     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICASSP.2009.4960262     Document Type: Conference Paper

References (13)

1. D. L. Donoho, "Compressed sensing," IEEE Trans. Inf. Theory, vol. 52, pp. 1289-1306, April 2006.
2. P. Flandrin and W. Martin, "The Wigner-Ville spectrum of nonstationary random signals," in The Wigner Distribution - Theory and Applications in Signal Processing (W. Mecklenbräuker and F. Hlawatsch, eds.), pp. 211-267, Amsterdam (The Netherlands): Elsevier, 1997.
3. G. Matz and F. Hlawatsch, "Nonstationary spectral analysis based on time-frequency operator symbols and underspread approximations," IEEE Trans. Inf. Theory, vol. 52, pp. 1067-1086, March 2006.
4. W. Kozek and K. Riedel, "Quadratic time-varying spectral estimation for underspread processes," in Proc. IEEE-SP Int. Sympos. Time-Frequency Time-Scale Analysis, (Philadelphia, PA), pp. 460-463, Oct. 1994.
5. S. G. Mallat, G. Papanicolaou, and Z. Zhang, "Adaptive covariance estimation of locally stationary processes," Ann. Stat., vol. 26, pp. 1-47, Feb. 1998.
6. G. Matz, A Time-Frequency Calculus for Time-varying Systems and Nonstationary Processes with Applications. PhD thesis, Vienna University of Technology, Nov. 2000.
7. K. Gröchenig, Foundations of Time-Frequency Analysis. Boston: Birkhäuser, 2001.
8. W. Kozek, Matched Weyl-Heisenberg Expansions of Nonstationary Environments. PhD thesis, Vienna University of Technology, March 1997.
9. E. J. Candès, J. Romberg, and T. Tao, "Stable signal recovery from incomplete and inaccurate measurements," Comm. Pure Appl. Math., vol. 59, pp. 1207-1223, March 2006.
10. M. Rudelson and R. Vershynin, "Sparse reconstruction by convex relaxation: Fourier and Gaussian measurements," in Proc. 40th Annual Conf. Inform. Sci. Syst., (Princeton, NJ), pp. 207-212, March 2006.
11. G. Matz, D. Schafhuber, K. Gröchenig, M. Hartmann, and F. Hlawatsch, "Analysis, optimization, and implementation of low-interference wireless multicarrier systems," IEEE Trans. Wireless Comm., vol. 6, pp. 1921-1931, May 2007.
12. F. Hlawatsch and W. Kozek, "Second-order time-frequency synthesis of nonstationary random processes," IEEE Trans. Inf. Theory, vol. 41, pp. 255-267, Jan. 1995.
13. P. Borgnat and P. Flandrin, "Time-frequency localization from sparsity constraints," in Proc. IEEE ICASSP 2008, (Las Vegas, NV), pp. 3785-3788, April 2008.