Ambiguity function of two-dimensional orthogonal complete complementary codes
Ivan Lapin, Peter Farkaš · 2016
This paper presents a possible utilization of Two-Dimensional Comlete Complenetary Codes (2D OCCC) in radar technologies. The aim is to evaluate the ambiguity function and cross-ambiguity function of phase modulated signals based on the second family of 2D OCCC. Signal is generated by modulation technique known as Orthogonal Frequency Division Multiplexing (OFDM). Complementarity of the codes is achieved by idealized scenario in which independent transmission of the corresponding sequence is utilized. The final ambiguity function is computed as the sum of partial ambiguity functions of each element. Results of the numerical computation are presented and evaluated. It is shown that the ambiguity function yields zero values for every time shift and every Doppler shift outside the duration of the first chip. The only drawback is a presence of zero lattice values along the Doppler shift axis. It is also shown that the observed Peak-to-Sidelobe Ratio (PSR) rapidly increases with the rising order of 2D OCCC.