# A Comparison of Pulse Compression Techniques for Ranging Applications

## Abstract

In this chapter, a comparison of Golay code based pulse compression (GCPC) technique with the Neuro-Fuzzy based pulse compression (NFPC) technique is demonstrated for ranging systems. Both of these techniques are used for the suppression of range side lobes that appear during the pulse compression process of the received echo pulse at the receiver for target(s) detection. Golay code is a pair of complementary codes and has an inherent property of zero side lobes when the two auto-correlation results of the complementary code pair are added. On the other side, neural network based pulse compression techniques are also developed to reduce the range side lobes. Both the techniques are different in nature but they share the common objective of range side lobe suppression in target detection. The differentiation parameters chosen for the comparison of GCPC and NFPC techniques include the computational complexity, range side lobe suppression levels, noise rejection capability, Doppler tolerance capability, range resolution capability as well as the training and convergence requirements of these pulse compression techniques. All these comparison criteria are found to determine the overall performance measures of the pulse compression techniques for ranging applications especially in case of detection and ranging of multiple closely spaced and weak targets. This comparison may be useful for a system designer to select a particular type of pulse compression technique for a specific ranging application.

## Keywords

Phase coded range estimation/detection Pulse compression Range side lobe suppression Neuro-fuzzy network Golay codes Range resolution## References

- 1.D.K. Barton,
*Modern Radar System Analysis*(Artech House Inc., Norwood, 2008)Google Scholar - 2.M. Bassem,
*Radar System Analysis and Design using Matlab*(Chapman and Hall/CRC, New York, 2000)Google Scholar - 3.S.M. Kay,
*Fundamentals of Statistical Signal Processing: Estimation Theory*, vol 1 (Prentice-Hall, Upper Saddle River, 1993)Google Scholar - 4.S.M. Kay,
*Fundamentals of Statistical Signal Processing: Detection Theory*, vol 2 (Prentice-Hall, Upper Saddle River, 1998)Google Scholar - 5.M.A. Richards,
*Fundamentals of Radar Signal Processing*(MC Graw-Hill, New York, 2005)Google Scholar - 6.F.E. Nathanson,
*Radar System Fundamentals: Signal Processing and the Environment*(SciTech Publishing Inc., NJ, 1999)Google Scholar - 7.N. Levanon, E. Mozeson,
*Radar Signals*(John Wiley and Sons, NJ, 2004)Google Scholar - 8.M.H. Hayes,
*Statistical Digital Signal Processing and Modeling*(John Wiley and Sons (Asia) Pvt Ltd, Singapore, 2003)Google Scholar - 9.M. Bassem,
*Radar System Analysis and Design using Matlab*(Chapman and Hall/CRC, New York, 2000)Google Scholar - 10.M.I. Skolnik,
*Introduction to Radar Systems*, 2nd edn. (McGraw Hill, New York, 1980)Google Scholar - 11.M. Barkat,
*Signal Detection and Estimation*, 2nd edn. (Artech House Inc, NJ, 2005)Google Scholar - 12.F.B. Duh, C.F. Juang, A neural fuzzy network approach to radar pulse compression. IEEE Geosci. Remote Sens. Lett.
**1**(1),15–20 (2004)Google Scholar - 13.M.H. Ackroyd, Optimum mismatched filters for side lobe suppression, IEEE Trans. Aerosp. Electron. Syst. AES-
**9**, 214–218 (1993)Google Scholar - 14.R.C. Daniels, V. Gregers, Code inverse filtering for complete side-lobe removal in binary pulse compression systems, in
*Proceedings of the IEEE International Radar Conference**2005*, pp. 256–261Google Scholar - 15.R.J. Keller, S.A. Mudukutore, V. Chandrasekhar, Pulse compression for weather radars: simulation and evaluation. IEEE Trans. Geosci. Remote Sens.
**36**(1), 125–142 (1998)CrossRefGoogle Scholar - 16.N.J. Bucci,
*Doppler Tolerant Range Side-Lobe Suppression for Pulse Compression Radars, Tech Reference MTMR-TR-001*(GE Aerospace Moorestown, NJ, 1991)Google Scholar - 17.K.J. Gartz, Generation of uniform amplitude complex code sets with low correlation side lobes, IEEE Trans. Signal Process.
**40**(2), 343–351(1992)Google Scholar - 18.R.S. Masanori, Time side lobe reduction technique for binary phase coded pulse compression, in
*Proceedings of the IEEE International Radar Conference 2000,*Alexendaria, VA, USA (2000), pp. 809–814Google Scholar - 19.X. Wu, S.J.F. Liu, W. Zhao, Chaotic phase code for radar pulse compression, in
*Proceedings of the IEEE Radar Conference 2001*(2001), pp. 279–283Google Scholar - 20.D.W. Jin, J. Kai, W. Wei-dong, The study of new radar wave form with high range resolution, in
*Proceedings of the IEEE International Conference on Signal Processing, (ICSP 2004)*(2004), pp. 1957–1960Google Scholar - 21.J. George, N. Bharadivy, V. Chandrasekhar, Waveform coding for dual polarization weather radars, in
*Proceedings of the IEEE International Geoscience and Remote Sensing Symposium, (IGARSS 2007)*(2007), pp. 3571–3574Google Scholar - 22.A. Kusk, J. Dall, Azimuth phase coding for range ambiguity suppression in SAR, in
*Proceedings of the IEEE International Geoscience and Remote Sensing Symposium (IGARSS 2004)*, pp. 1734–1737Google Scholar - 23.H. Shen, W. Zhang, S.K. Kwak, The modified chirp UWB ranging system for vehicular applications, in
*Proceedings of the IEEE International Symposium on Communications and Information Technologies, ISCIT*(2007), pp. 1038–1042Google Scholar - 24.J.D. Jenshak, J.M. Stils, A fast method for designing optimal transmit codes for radar, in
*Proceedings of the IEEE Radar Conference (RADAR 2008)*(2008), pp. 1–6Google Scholar - 25.S.R.J. Anelson, Random noise radar/sonar with ultra wideband waveforms, IEEE Trans. Geosci. Remote Sens.
**45**(5), 1099-1114 (2007)Google Scholar - 26.S.R.J. Anelson, Suppression of noise floor and dominant reflectors in random noise radar, in
*Proceedings of the International Radar Symposium 2006*(*IRS 2006)*pp. 1–6Google Scholar - 27.R.J. Keeler, C.A. Hwang, Pulse compression for weather radar, in
*Proceedings of the IEEE**International Radar Conference*(May 1995) pp. 529–535Google Scholar - 28.J.M. Ashe, R.L. Nevin, D.J. Murrow, H. Urkowitz, N.J. Bucci, J.D. Nespor, Range sidelobe suppression of expanded/compressed pulses with droop, in
*Proceedings of the 1994 IEEE International Radar Conference,*Atlanta, GA, 29–31 March 1994, pp. 116–122Google Scholar - 29.C.A. Hwang R.J. Keeler, Sample phase aspects of FM pulse compression waveforms, in
*Proceedings of the IGARSS*(1995), pp. 2126–2128Google Scholar - 30.R.J. Keeler, C.A. Hwang, Pulse compression for weather radar, in
*Proceedings of the IEEE International Radar Conference*(May 1995), pp. 529–535Google Scholar - 31.N.J. Bucci, H.S. Owen, K.A. Woodward, C.M. Hawes, Validation of pulse compression techniques for meteorological functions, IEEE Trans. Geosci. Remote Sens.
**35**, 507–523 (1997)Google Scholar - 32.H. K. Kwan and C. K. Lee, A neural network approach to pulse radar detection, IEEE Trans. Aerosp. Electron. Syst.
**29**, 9–21 (1993)Google Scholar - 33.K.D. Rao G. Sridhar, Improving performance in pulse radar detection using neural networks, IEEE Trans. Aerosp. Electron. Syst.
**31**, 1194–1198 (1995)Google Scholar - 34.C.F. Juang C.T. Lin, An on-line self-constructing neural fuzzy inference network and its applications, IEEE Trans. Fuzzy Syst.
**6**, 12–32 (1998)Google Scholar - 35.M.J. Golay, Complementary series, IRE Trans. Inf. Theory 7, 82–87 (1961)Google Scholar
- 36.C. Hackett, Correction to An efficient algorithm for soft-decision decoding of the (24, 12) extended Golay code. IEEE Trans. Commun.
**234**(43), 812–816 (1995)Google Scholar - 37.J. Snyders, M. Ran, Constraint designs for maximum likelihood soft decoding of RM (2, M) and the extended Golay codes. IEEE Trans. Commun.
**43**(234), 169–176 (1995)Google Scholar - 38.B. Hodgins, K. Harman, The next generation of Guidar Technology, in
*Proceedings of the IEEE Security Technology 2004, 38th Annual 2004 International Carnhan Conference*(2004), pp. 169–176Google Scholar - 39.S. Searle, S. Howard, A novel poly-phase code for side-lobe suppression, in
*Proceedings of the IEEE Waveform Diversity and Design 2007*(2007), pp. 377–381Google Scholar - 40.R.Y. Chio, X. Hao, Coded excitation for diagnostics ultrasound: a system developer’s perspective, in
*Proceedings of 2003 IEEE Ultrasonics Symposium*(2003), pp. 437–448Google Scholar - 41.A. Hussain, M. Rais, M.B. Malik, Golay Codes in ranging applications, in
*Proceedings of the 8th IASTED Conference on Wireless and Optical Communications*(*WOC-2008),*Quebec city, Canada (2008), pp. 184–188Google Scholar - 42.S. Haykin,
*Communication Systems*, 3rd edn. (John Wiley and sons, New York, 1999)Google Scholar - 43.A. Hussain, M.B. Malik, Golay Code based carrier phase recovery, in
*Proceedings of the 4th IEEE International Conference on Computer and Emerging Technologies**(ICET 2008)*, Islamabad, Pakistan (2008) pp. 92–97Google Scholar - 44.A.V. Oppenheim, A.S. Wilsky, S.H. Nawab,
*Signals and Systems*, (Prentice-Hall, Upper Saddle River, 1993)Google Scholar - 45.A.V. Oppenheim, R.W. Shaffer, S.H. Nawab,
*Discrete Time Signal Processing*, 2nd edn. (Prentice-Hall, Upper Saddle River, 1999)Google Scholar