Oversampled filter banks as error correcting codes: Theory and impulse noise correction

IEEE Transactions on Signal Processing

Volumn 53, Issue 12, 2005, Pages 4619-4630

  Labeau, Fabrice ^a   Chiang, Jui Chiu ^b   Kieffer, Michel ^b   Duhamel, Pierre ^b   Vandendorpe, Luc ^c   Macq, Benoît ^c  

^a MCGILL UNIVERSITY   (Canada)

^b CNRS   (France)

^c UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Error correction coding; Impulse noise; Multirate filter banks; Oversampling

Indexed keywords

BINARY CODES; BINARY SEQUENCES; COMPUTER SIMULATION; CONVOLUTIONAL CODES; DECODING; ENCODING (SYMBOLS); ERROR CORRECTION; IMPULSE NOISE; MATRIX ALGEBRA; POLYNOMIALS; PROBABILITY; THEOREM PROVING;

MULTIRATE FILTER BANKS; NOISE CORRECTION; OVERSAMPLED FILTER BANKS;

SIGNAL FILTERING AND PREDICTION;

EID: 29144499328     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2005.859314     Document Type: Article

References (23)

1. P. P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, N.J.: Prentice-Hall, 1993.
2. Z. Cvetković and M. Vetterli, "Oversampled filter banks," IEEE Trans. Signal Process., vol. 46, pp. 1245-1255, May 1998.
3. H. Bölcskei, F. Hlawatsch, and H. G. Feichtinger, "Frame-theoretic analysis of oversampled filter banks," IEEE Trans. Signal Process., vol. 46, pp. 3256-3268, Dec. 1998.
4. K. Eneman and M. Moonen, "DFT modulated filter bank design for oversampled subband systems," Signal Process., vol. 81, pp. 1947-1973, 2001.
5. M. Harteneck, S. Weiss, and R. Stewart, "Design of near perfect reconstruction oversampled filter banks for subband adaptive filters," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 46, pp. 1081-1085, Aug. 1999.
6. J. Kliewer and A. Mertins, "Design of paraunitary oversampled cosine-modulated filter banks," in IEEE Int. Conf. Acoustics, Speech, Signal Processing, Munich, Germany, Apr. 1997, pp. 2073-2076.
7. T. Tanaka and Y. Yamashita, "The generalized lapped pseudo-biorthogonal transform," in IEEE Int. Conf. Acoustics, Speech, Signal Processing, vol. II, Orlando, FL, 2002, pp. 1273-1276.
8. Q.-G. Liu, B. Champagne, and D. K. Ho, "Simple design of oversampled uniform DFT filter banks with applications to subband acoustic echo cancellation," Signal Process., vol. 80, pp. 831-847, 2000.
9. A. Gabay, O. Rioul, and P. Duhamel, "Joint source-channel coding using structured oversampled filter banks applied to image transmission," in IEEE Int. Conf. Acoustics, Speech, Signal Processing, vol. 4, 2001, pp. 2581-2584.
10. T. G. Marshall, "Coding of real-number sequences for error correction: A digital signal processing problem," IEEE J. Select. Areas Commun., vol. 2, pp. 381-392, Mar. 1984.
11. J. K. Wolf, "Redundancy, the discrete Fourier transform, and impulse noise cancellation," IEEE Trans. Commun., vol. COM-31, pp. 458-461, Mar. 1983.
12. H. Bölcskei and F. Hlawatsch, "Noise reduction in oversampled filter banks using predictive quantization," IEEE Trans. Inform. Theory, vol. 47. pp. 155-172. Jan. 2001.
13. I. Gohdberg, P. Lancaster, and L. Rodman, Polynomial Matrices. New York: Academic, 1982.
14. H. Bölcskei and F. Hlawatsch, "Oversampled filter banks: Optimal noise shaping, design freedom, and noise analysis," in IEEE Int. Conf. Acoustics, Speech, Signal Processing, vol. 3, Munich, Germany, Apr. 1997, pp. 2453-2456.
15. D. Henrion and M.Šebek, "Reliable numerical methods for polynomial matrix triangularization," IEEE Trans. Autom. Control. vol. 44, pp. 497-508, Mar. 1999.
16. P.L. Dragotti, J. Kovacevic, and V. K. Goyal, "Quantized oversampled filter banks with erasures," in IEEE Data Compression Conf., 2001, pp. 173-182.
17. J. Kovacevic, P. L. Dragotti, and V. K. Goyal, "Filter bank frame expansions with erasures," IEEE Trans. Inform. Theory, vol. 48, pp. 1439-1450, 2002.
18. G. Rath and C. Guillemot, "Characterization of a class of error-correcting frames and their application to image transmission," in Proc. PCS, St Malo, France, 2003.
19. R. Redinbo, "Decoding real block codes: Activity detection, Wiener estimation," IEEE Trans. Inform. Theory, vol. 46, pp. 609-623, 2000.
20. M. Ghosh, "Analysis of the effect of impulse noise on multicarrier and single carrier QAM systems," IEEE Trans. Commun., vol. 44, pp. 145-147, Feb. 1996.
21. F. Abdelkefi, P. Duhamel, and F. Alberge, "A posteriori control of complex Reed Solomon decoding with application to impulse noise cancellation in HIPERLAN/2," in IEEE Int. Conf. Communications. vol. 2, 2002, pp. 659-663.
22. F. Abdelkefi, "Les Codes Reed-Solomon Complexes Pour la Correction ales Erreurs Impulsives Dans Les Systèmes Multiporteuses," Ph.D., ENST, Paris, 2002.
23. J.-P. Princen and A. B. Bradley, "Analysis/Synthesis filterbank design based on time domain aliasing cancellation," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, pp. 1153-1161, Oct. 1986.