Multi parameter estimation of wideband Chirp signals based on OMP decomposition

Sparse decomposition-orthogonal matching pursuit is applied to array signal processing field, and a new method for multi parameters estimation of wideband Chirp signals based on orthogonal matching pursuit decomposition is presented. At first, according to wideband Chirp signal geometry, we establish the over-complete dictionary and do OMP decomposition to the array receive signal on the over-complete dictionary. According to the parameter of the best match atom, we get the estimation of starting frequency and modulating frequency slope of the signal, and then we get the wideband Chirp signal geometry. Based on this, according to the array signal structure and the wideband Chirp signal geometry which we have got, establish another over-complete dictionary. By calculating the trace of cross-correlation matrix between the array receive data and the atom in the atom dictionary, search the maximum peak value to get the best match atom. Then, according to the parameter of the best atom, get the direction of arrive estimation of the signal. Simulation results demonstrate that the algorithm is efficient to the parameter estimation. And compared to Wigner-Ville Distribution algorithm, this method can estimate the signal´s direction of arrive more efficiently.