Matched Filter Implementation, Complexity, and Gain in Fractional Fourier Domain
DOI:
https://doi.org/10.3849/aimt.01513Keywords:
chirp radar, fractional Fourier transform, matched filterAbstract
The radar matched filter is implemented in fractional Fourier domain (FrFD) and the required processing steps to perform the radar matched filter in FrFD are demonstrated. The complexity of the FrFD matched filter over the normal frequency transform matched filter is also investigated. The performance enhancements for using the matched filter in the FrFD are presented and the enhancement in the signal to noise ratio (SNR) output at different target SNRs are also described.
References
S. A. Elgamel, C. Clemente, and J. J. Soraghan, "Radar matched filtering using the Fractional Fourier Transform," in Sensor Signal Processing for Defence (SSPD 2010), 2010, pp. 1-5.
P. Sahay, A. Anjarlekar, S. A. Jain, P. Radhakrishna, and V. M. Gadre, "Generalized Fractional Matched Filtering and its Applications," in 2020 National Conference on Communications (NCC), 2020, pp. 1-6.
F. Zhang, R. Tao, and Y. Wang, "Matched Filtering in Fractional Fourier Domain," in 2012 Second International Conference on Instrumentation, Measurement, Computer, Communication and Control, 2012, pp. 1-4.
C. Candan, M. A. Kutay, and H. M. Ozaktas, "The discrete fractional Fourier transform," Signal Processing, IEEE Transactions on, vol. 48, pp. 1329-1337, 2000.
H. M. Ozaktas, O. Arikan, M. A. Kutay, and G. Bozdagt, "Digital computation of the fractional Fourier transform," Signal Processing, IEEE Transactions on, vol. 44, pp. 2141-2150, 1996.
S. A. Elgamel and J. Soraghan, "A new Fractional Fourier Transform based monopulse tracking radar processor," in Acoustics Speech and Signal Processing (ICASSP), 2010 IEEE International Conference on, pp. 2774-2777.
S. A. Elgamel and J. J. Soraghan, "Enhanced monopulse radar tracking using filtering in fractional Fourier domain," in Radar Conference, 2010 IEEE, pp. 247-250.
S. A. Elgamel and J. Soraghan, "Enhanced monopulse tracking radar using optimum Fractional Fourier Transform," Radar, Sonar and Navigation, IET, vol. 4, 2010.
C. Capus and K. Brown, "Short-Time fractional fourier methods for the time-frequency representation of chirp signals," The Journal of the Acoustical Society of America, vol. 113(6), pp. 3253-63, 2003.
E. Leith, "Review of 'Systems and Transforms With Applications to Optics' (Papoulis, A.; 1968)," Information Theory, IEEE Transactions on, vol. 18, pp. 451-452, 1972.
A. S. Amein and J. J. Soraghan, "Fractional Chirp Scaling Algorithm: Mathematical Model," Signal Processing, IEEE Transactions on, vol. 55, pp. 4162-4172, 2007.
A. Koc, H. M. Ozaktas, C. Candan, and M. Alper Kutay, "Digital Computation of Linear Canonical Transforms," Signal Processing, IEEE Transactions on, vol. 56, pp. 2383-2394, 2008.
A. Bultheel and H. Martìnez Sulbaran, "A shattered survey of the fractional Fourier transform, http://www.cs.kuleuven.be/_nalag/papers/ade/frft/index.html," 2003.
S. A. Elgamel and J. J. Soraghan, "Using EMD-FrFT Filtering to Mitigate Very High Power Interference in Chirp Tracking Radars," Signal Processing Letters, IEEE, vol. 18, pp. 263-266, 2011.
S. A. Elgamel and J. J. Soraghan, "Using EMD-FrFT Filtering to Mitigate Very High Power Interference in Chirp Tracking Radars," IEEE Signal Processing Letters, vol. 18, pp. 263-266, 2011.
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