Robust DFT-based filtering of pulse-like FM signals corrupted by impulsive noise

Signal, Image and Video Processing

Volumn 1, Issue 1, 2007, Pages 39-51

  Djurović, Igor ^a   Lukin, Vladimir V ^b  

^a UNIVERSITY OF MONTENEGRO   (Montenegro)

^b NATIONAL AEROSPACE UNIVERSITY   (Ukraine)

Author keywords

FM signals; Impulse noise; Median filter; Robust DFT; Robust filters

Indexed keywords

EID: 34547508535     PISSN: 18631703     EISSN: 18631711     Source Type: Journal    
DOI: 10.1007/s11760-007-0005-8     Document Type: Article

References (31)

1. Lombardi M.J. and Godsill S.J. (2006). On-line Bayesian estimation of signals in symmetric α-stable noise. IEEE Trans. Sig. Proc. 54(2): 775-779
2. Radford, D., Kurekin, A., Marshall, D., Lever, K., Lukin, V.: Robust processing of SAR hologram data to mitigate impulse noise impairments. Proc. Fusion (2005)
3. Arce G.R. (2005). Nonlinear Signal Processing-A Statistical Approach. Wiley, New York
4. Astola J.T. and Kuosmanen P. (1997). Fundamentals of Nonlinear Digital Filtering. CRC Press, Boca Raton
5. Wang Z. and Zhang D. (1999). Progressive switching median filter for the removal of impulse noise from highly corrupted images. IEEE Trans. Circ. Syst. II, 46(1): 78-80
6. Besdok E. (2004). Impulsive noise suppresion from images with a modified two-step iterative median filter. J. El. Imag. 13(4): 714-719
7. Djurović I. and Stanković L.J. (2002). Realization of the robust filters in the frequency domain. IEEE Sig. Proc. Lett. 9(10): 333-335
8. Arce G.R. (1998). A general weighted median filter structure admitting negative weights. IEEE Trans. Sig. Proc. 46(12): 3195-3205
9. Kalluri S. and Arce G.R. (2001). Robust frequency-selective filtering using weighted myriad filters admitting real-valued weights. IEEE Trans. Sig. Proc. 49(11): 2721-2733
10. Shmulevich, I., Arce, G.R.: Spectral design of weighted median filters admitting negative weights. IEEE Sig. Proc. Lett. 8(12) 313-316
11. Arce G.R. and Paredes J.L. (2000). Recursive weighted median filters admitting negative weights and their optimization. IEEE Trans. Sig. Proc. 48(3): 768-779
12. Katkovnik V. (1998). Robust M-periodogram. IEEE Trans. Sig. Proc. 46(11): 3104-3109
13. Katkovnik V. (1999). Robust M-estimates of the frequency and amplitude of a complex-valued harmonic. Sig. Process. 77(1): 71-84
14. Huber P.J. (1973). Robust regression: asymptotics, conjectures and Monte Carlo. Ann. Math. Stati. 1(5): 799-821
15. Huber P.J. (1981). Robust Statistics. Wiley, New York
16. David H.A. and Nagaraja H.N. (2003). Order Statistics. Wiley, New York
17. Katkovnik V. and Stanković L.J. (1998). The instantaneous frequency estimation using the Wigner distribution with varying and data-driven window length. IEEE Trans. Sig. Process. 46(9): 2315-2326
18. Stanković L.J. and Katkovnik V. (1998). Algorithm for the instantaneous frequency estimation using time-frequency distributions with variable window width. IEEE Sig. Proc. Lett. 5(9): 224-227
19. Stanković L.J. and Katkovnik V. (2000). Instantaneous frequency estimation using higher order distributions with adaptive order and window length. IEEE Trans. Inf. Th. 46(1): 302-311
20. Djurović, I., Stanković, L.J., Böhme, J.F.: Myriad filter based form of the DFT. EUSIPCO'2002, Vol. III. Toulouse, France, 433-436
21. Djurović I., Katkovnik V. and Stanković L.J. (2001). Median filter based realizations of the robust time-frequency distributions. Sig. Process. 81(7): 1771-1776
22. Djurović I., Stanković L.J. and Böhme J.F. Robust (2003). L-estimation based forms of signal transforms and time-frequency representations. IEEE Trans. Sig. Proc 51(7): 1753-1761
23. Djurović I., Lukin V.V. and Roenko A.A. (2004). Removal of α-stable noise in frequency modulated signals using robust DFT forms. Telecommun. Radioeng. 61(7): 574-590
24. Stoica P. and Moses R.L. (1997). Introduction to Spectral Analysis. Englewood Chiffs, Prentice-Hall
25. Welch, P.: The use of fast Fourier transform for the estimation of power spectra: a method based on time-averaging over short, modified periodograms. IEEE Trans. Aud. Electroacust. 15(2) (1967)
26. Oktem, R.: Transform domain algorithms for image compression and denoising. PhD Thesis, Tampere University of Technology (Tampere, Finland), 142 p. (2000) http://www.cs. tut.fi/~karen/project_site
27. Nikias C.L. and Shao M. (1995). Signal Processing with Alpha Stable Distributions and Applications. Wiley, New York
28. Tsihrintzis G.A. and Nikias C.L. (2005). Performance of optimum and suboptimum receivers in the presence of impulsive noise modeled as an alpha-stable process. IEEE Trans. Commun. 43(2-4): 904-914
29. Goldenshluger A. and Nemirovski A. (1997). On spatial adaptive estimation of nonparametric regression. Math. Meth. Stat. 6: 135-170
30. Katkovnik, V., Egiazarian, K., Astola, J.: Adaptive varying window methods in image processing Part I: denoising and deblurring. TICSP Series Report #13 (2003)
31. Fan J. and Gijbels I. (1996). Local Polynomial Modeling and Its Applications. Chapman & Hall, London