"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 4, 2018

contents of issue      DOI  10.30898/1684-1719.2018.4.8     full text in Russian (pdf)  

Generalized ambiguity function in multistate radio holography system using signal recirculation

V. I. Kalinin, V. V. Chapursky

Fryazino Branch of Kotelnikov Institute of Radioengineering and Electronics of Russian Academy of Sciences, Vvedensky Sq.1, Fryazino Moscow region 141190, Russia


 The paper is received on April 16, 2018


Abstract. Generalized ambiguity function versus spatial coordinates is obtained for orthogonal signals recirculated in the multistate radio holography system using two-measure transmitter and receiver antenna arrays.  Two kind of orthogonal regular signal ensembles are considered: linear frequency modulation signals with uncovered spectrum and monopulse multi frequency signals.  Each element of a transmission array can radiate a signal with a certain spectral width and its own center frequency from a frequency grid. New target observation method is based on the recirculation of orthogonal regular signals in a spatial feedback loop formed by the radio holography system and the target. The recirculation method is implemented by means of tapping, amplification, and feeding of a portion of the received signal into the transmitting circuit, where this signal is combined with the current signal generated by a transmitter source. The obtained sum signal is again radiated toward the target. With the use of transmitting array with orthogonal signals, the recirculation method can be implemented in each antenna element. Spatial resolution analysis of radio holography systems with antenna arrays is based on a construction of an averaged multidimensional generalized ambiguity function (GAF). Detailed study of generalized ambiguity function and the 2D its sections along spatial coordinates allows estimation of the spatial and angular resolutions; GAF sidelobe level; and the possibility of unambiguous measurements of the delay (range) and the angular coordinates for different combinations of the aperture dimensions, the number of elements, and the frequency spacing of the orthogonal regular signals radiated by the array elements. The GAF functions are constructed and calculated in result of the space–time signal processing with the use of the averaged complex correlation integral of the reference and received vector signals. Generalized ambiguity functions are compared in two cases - presence or absence of a signal recirculation in a spatial feedback loop. Recirculation affect causes significant narrowing (some times) of GAF main lobe that is equality to enhance the spatial resolution of a point reflector when a transmission coefficient of a spatial loop achieves 0.7-0.9 values. In that case, GAF sidelobe levels are sharply decreased and it is appeared the possibility of unambiguous measurements of the delay (range) and the angular coordinates.

Key words: multistate radio holography system, generalized ambiguity function, signal recirculation, antenna array.


1. E. D. Sharp, M. A. Diab, Van Atta. Reflector Array.  IRE Transactions on Antennas and Propagation, 1960, No. 4, July, pp.436-438.

2. Pon C. Y. Retrodirective Array Using the Heterodyne Technique.  IEEE Transactions on Antennas and Propagation, 1964, No.2, March, pp.176-180.

3. V.I.Vinokurov, edotor. Morskaya radiolokatsiya [Naval radar]. Leningrad, Sudostroenie Publ., 1986, pp. 196-200 (In Russian)

4. Zalogin N.N., Kalinin V.I., Kislov V.Ya., Myasin E.A. et al. Author's certificate No. 792183, Bull. Inventions, No. 48, 1980 (In Russian)

5. Kalinin V.I., Kislov V.Ya., Myasin E.A. et al. Author's certificate No. 820430, Bull. Inventions, No. 6, 1983 (In Russian)

6.  Kalinkevich A.A., Krylova M.S., Turygin M.S. Preliminary theoretical research of processes of noise radar with spatial feedback. All-Russian scientific conference "Ultra-wideband signals in radar, radio communication and acoustics", Murom, 1-3 July 2003, pp.415-419 (In Russian)

7.  Shalab Gupta, T.R. Brown. Noice-Correlating Radar Based on Retrodirective Antennas.  IEEE Transactions on Aerospace and Electronic Systems, 2007, Vol. 43, No. 2, April, pp.472-479.

8.  V. I. Kalinin and V. V. Chapurskii. Ultrawideband Noise Radar Based on Antenna Arrays with Signal Recirculation. Journal of Communications Technology and Electronics, 2008, Vol. 53, No. 10, pp. 1195-2005 DOI10.1134/S1064226908100069

9.  V. Fusco, N. Buchanan, Developments in retrodirective array technology.  IET Microw. Antennas Propag., 2013, Vol. 7, Issue 2, pp. 131–140.

10. N.B. Buchanan, V. Fusco. Angle of Arrival Detection using Retrodirective RADAR.  Proceedings of the 7th European Radar Conference, 30 September - 1 October 2010, Paris, France, pp 133-136.

11. P. Hallbjörner, S. Cheng. Improvement in 77-GHz Radar Cross Section Road Work Jacket and Side Screen by Use of Planar Flexible Retrodirective Reflectors.  IEEE Antennas and Wireless Propagation Letters, 2013, Vol. 12, pp. 1085-1088.

12. Tianpeng Liu, Xizhang Wei, Lei Li.Multiple-element retrodirective cross-eye jamming against amplitude-comparison monopulse radar. ICSP2014, Proceedings, pp. 2135-2140.

13. V. V. Chapursky. Obtaining of radio-holographic images of objects on the basis of sparse antenna arrays of MIMO type with single-frequency and multifrequency radiation. Vesnik MGTU im. N.E.Bauman, seriya Priborostroenie - Proceeding of Bauman MSTU, Instrument Making Series, 2011, No. 4, pp. 72-191

14. V. V. Chapursky. Izbrannye zadachi teorii sverkhshirokopolosnykh radiolokatsionnykh sistem [Selected problems of the theory of ultra-wideband radar systems]. Moscow, Bauman MSTU, 2012. 280 p. (In Russian)

15. I. V. Kryuchkov and V. V. Chapursky.  Analytical Approximation of the Generalized Ambiguity Function of the MIMO Synthetic-Aperture Radar System. Journal of Communications Technology and Electronics, 2017, Vol.62, No. 11, pp. 1298-1305 DOI: 10.1134/S1064226917110110

For citation:
V.I. Kalinin, V.V. Chapursky. Generalized ambiguity function in multistate radio holography system using signal recirculation. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2018. No. 4. Available at http://jre.cplire.ru/jre/apr18/9/text.pdf

DOI  10.30898/1684-1719.2018.4.9