Summary
Radar imaging is an advanced remote sensing technique that maps the reflectivity of distant objects by transmitting modulated signals at radio frequencies and processing the detected echoes. By proper waveform selection, it is currently possible to image the surface of planets or asteroids from Earth with a relatively high degree of resolution, despite the astronomical distances to these objects. Waveforms that are used for radar astronomy are characterized by a large spectral bandwidth and long time duration, which can be obtained by phase modulating a long pulse train. An example of phase modulation is binary phase coding in which each pulse of the train is randomly assigned a phaseof 0 or π. The corresponding echo pulses are correlated with the sequence of transmitted pulses to resolve the main features of an object. The correlation of long binary sequences can yield high resolution with significant clutter suppression. However, this process requires the selection of an optimum binary phase code among a significant number of possibilities. For a given code of length N, where N is the number of code elements, the population size is 2N. Certain members of this population will exhibit good qualities for imaging, while others may behave poorly. In this chapter, we discuss the principles of radar imaging and the implementation of a genetic algorithm to find the “good” member codes from a population of codes of length N. This algorithm was successfully tested for binary phase codes of lengths N = 13 and 24 pulses. For the short length N = 13 case, in which an optimum code is known to exist, the rate of convergence to this optimum was poor relative to that of an exhaustive search. However, for the longer codes tested (N = 24), the genetic algorithm converged much faster than an exhaustive search for the large solution space.
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References
R. S. Berkowitz, Modern Radar, John Wiley & Sons, N.Y., 1965.
A. B. Carlson, Communication Systems, An Introduction to Signals and Noise in Electrical Communication, McGraw-Hill, N.Y., 1986.
N. Chang and S. W. Golomb, “On n—Phase Barker Sequences”, IEEE Transactions on Information Theory, 1994, Vol. 40, No. 4, pp. 1251–1253.
M. N. Cohen, P. E. Cohen, and M. Baden, “Biphase codes with minimum peak sidelobes”, IEEE National Radar Conference Proceedings, 1990, pp. 62–66.
C. E. Cook and M. Bernfeld, Radar Signals, Academic Press, N.Y., 1967.
J. P. Costas, “A study of a class of detection waveforms having nearly ideal range-Doppler ambiguity properties” , Proceedings of the IEEE, 1984, Vol. 72, No. 8, pp. 996–1009.
Yu. Davidor, Genetic Algorithms and Robotics, A Heuristic Strategy for Optimization, World Scientific, Singapore, 1991.
J. L. Eaves and E. K. Reedy (eds.), Principles of Modern Radar, Van Nostrand Reinhold Co., N.Y., 1987.
S. Eliahou, M. Kervaire, and B. Saffari, A new restriction on the length of Golay complementary sequences, Bellcore Tech. Mem. TM-ARH 012–829, October 24, 1988.
J. V. Evans and T. Hagfors, Radar Astronomy, McGraw-Hill Book Company, N.Y., 1968.
B. C. Flores, A. Ugarte, and V. Kreinovich, “Choice of an entropy-like function for range-Doppler processing”, Proceedings of the SPIE/International Society for Optical Engineering, Vol. 1960, Automatic Object Recognition III, 1993, pp. 47–56.
William A. Gardner, Introduction to Random Processes with Applications to Signals and Systems, McGraw-Hifi, Inc., New York, NY, 1990.
D. E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning, Addison-Wesley, N.Y., 1989.
S. W. Golomb (ed.), Digital Communications with Space Applications, PrenticeHall, Englewood Cliffs, NJ, 1964.
S. W. Golomb and R. A. Scholtz, “Generalized Barker sequences”, IEEE Trans. Inform. Theory, 1965, Vol. IT-11, pp. 533–537.
J. R. Klauder, “The design of radar systems having both range resolution and high velocity resolution”, Bell Systems Technology Journal, 1960, Vol. 39, pp. 809–819.
V. Kreinovich, C. Quintana, and O. Fuentes, “Genetic algorithms: what fitness scaling is optimal?” Cybernetics and Systems: an International Journal, 1993, Vol. 24, No. 1, pp. 9–26.
N. Levanon, “CW Alternatives to the Coherent Pulse Train-Signals and Processors”, IEEE Transactions on Aerospace and Electronic Systems, 1993, Vol. 29, No. 1.
D. L. Mensa, High Resolution Radar Cross-Section Imaging, Atrech House, Norwood, MA, 1991.
J. L. Mora, B. C. Flores, and V. Kreinovich. “Suboptimum binary phase code search using a genetic algorithm”, In: Satish D. Udpa and Hsui C. Han (eds.), Advanced Microwave and Millimeter- Wave Detectors, Proceedings of the SPIE/International Society for Optical Engineering, Vol. 2275, San Diego, CA, 1994, pp. 168–176.
F. E. Nathanson, Radar Design Principles, McGraw-Hill, N.Y., 1969.
H. T. Nguyen and V. Kreinovich, “On Re-Scaling In Fuzzy Control and Genetic Algorithms”, Proceedings of the 1996 IEEE International Conference on Fuzzy Systems, New Orleans, September 8–11, 1996 (to appear).
A. W. Rihaczek, Principles of High-Resolution Radar, McGraw-Hill, N.Y., 1969.
A. W. Rihaczek, “Radar waveform selection”, IEEE Transactions on Aerospace and Electronic Signals, 1971, Vol. 7, No. 6, pp. 1078–1086.
M. I. Skolnik, Introduction to Radar Systems, Mc-Graw Hill, N.Y., 1980.
M. I. Skolnik (ed.), Radar Handbook, McGraw Hill, N.Y., 1990.
C. V. Stewart, B. Moghaddam, K. J. Hintz, and L. M. Novak, “Fractional Brownian motion models for synthetic aperture radar imagery scene segmentation”, Proceedings of the IEEE, 1993, Vol. 81, No. 10, pp. 1511–1521.
R. J. Turyn, “On Barker codes of even length”, Proceedings of the IEEE, 1963, Vol. 51, No. 9 (September), p. 1256.
R. J. Turyn and J. Storer, “On binary sequences”, Proc. Amer Math. Soc., 1961, Vol. 12, pp. 394–399.
D. R. Wehner, High Resolution Radar, Artech House, Norwood, MA, 1987.
K. M. Wong, Z. Q. Luo, and Q. Lin, “Design of optimal signals for the simultaneous estimation of time delay and Doppler shift” , IEEE Transactions on Signal Processing, 1993, Vol. 41, No. 6, pp. 2141–2154.
P. M. Woodward, Probability and Information Theory with Applications to Radar, McGraw-Hill, N.Y., 1953.
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Flores, B.C., Kreinovich, V., Vasquez, R. (1997). Signal Design for Radar Imaging in Radar Astronomy: Genetic Optimization. In: Dasgupta, D., Michalewicz, Z. (eds) Evolutionary Algorithms in Engineering Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03423-1_23
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DOI: https://doi.org/10.1007/978-3-662-03423-1_23
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