Determination of the Scattering Matrix of Multiple Target by the Received OFDM Radar Signal

Abstract

An algorithm is proposed that establishes the one-to-one correspondence between the elements of the set of distances {R} = (r₀, r₁,…, r_L–1) and the set of velocities {V} = (v₀, v₁,…, v_L–1), obtained in the OFDM radar separately by two orthogonal 1D fast discrete Fourier transforms (FFT). The method is based on the generation of all possible combinations between the elements of {R} and {V} sets, constructing a model of the channel impulse response \({\left[ {{{\widehat H}_m}} \right]_{n,k}}\) for each combination and comparing it with the experimentally obtained \({\left[ {\widetilde H} \right]_{n,k}}\) to determine the plausible combination of distances and velocities. It has been found that the best plausibility criterion is the minimization of the norm of the intermatrix distance \({d_\infty }\left( {\widehat {H,}\widetilde H} \right) = \mathop {\max }\limits_{1 \leqslant n \leqslant N}\; \mathop {\max }\limits_{1 \leqslant k \leqslant K} \left| {{{\widehat h}_{n,k}} - {{\widetilde h}_{n,k}}} \right|\).