Correlation processing based on FT and FrFT received signals without knowing delay time and Doppler frequency shift
Keywords:
Correlation Processor, Fractional Fourier transform, Fourier transforms, LFMAbstract
Fourier Transform (FT) is a special case of Fractional Fourier Transform (FrFT). FT and FrFT have high efficiency in signal processing. In this paper, a solution based on FT and FrFT to solve the correlation processing of received signals problem without knowing delay time and Doppler frequency shift was proposed. Simulated results using Matlab shows that, compare to FrFT and FT, the efficiency of linear frequency modulated signal correlation processing.
References
Bassem R. Mahafza, “Analysis and design using Matlab”, 2000, 2004, 2013, CRC Press.
Ervin Sejdic´a, Igor Djurovic´b, LJubiˇsa Stankovic´b, “Fractional Fourier transform as a signal processing tool: An overviewof recent developments”. Signal Processing 91 (2011) 1351–1369
Roshen Jacob, Tessamma and Unnikrishnan. “Applications of fractional Fourier transform in Sonar signal processing”, IETE journal of reach, vol 55, ISSUE 1, Jan-Feb 2009.
A. K. Singh, R. Saxena. “Correlation Theorem for Fractional Fourier Transform”, International Journal of Signal Processing, Image Processing and Pattern Recognition, Vol. 4, No. 2, June, 2011.
Ahmed L Zayed. “On the Relationship between the Fourier and Fractional Fourier Transforms”, IEEE Signal Processing Letters, Vol. 3, No. 12, December 1996.
R Ajiv S Axena and K Ulbir S Ingh. “Fractional Fourier transform: A novel tool for signal processing”, J. Indian Inst. Sci, Jan.–Feb. 2005, 85, 11–26.
