Abstract:The DOA (Direction of Arrival) estimation problem ULA (uniform linear array) was studied, and one new LS-ICA method was proposed based on ULA (uniform linear array) under Gaussian noise, which was filtered during signals separation by ICA. With strict mathematic reasoning, steps of the new DOA estimation method were given. The simulation results showed that the proposed method was more superior to one of MUSIC (M ultiple Signal Classification), especially in degree distinguishing capacity and short data length aspects. In the case of simulation parameters of paper, it was 4 times than M USIC method in degree distinguishing capacity and one tenth in effective data length, which proved method of LS-ICA for DOA estimation was feasible and reliable. Also it provided one new thought for array signals processing and DOA problem.Key words: DOA estimation; LS-ICA; degree distinguishing capacity ; MUSIC
1.IntroductionArray signal processing, which is one data processing method by array antenna sampling space signals, has become one important branch of signal processing, applied in commun ication, radar, earthquake detection and so on [1] .As one of important questions of array signal processing, DOA estimation of space signals plays a role in target orientation and tracking [2] . Among DOA estimation methods, traditional ones, such as Multiple Signal Classification, Estimation of Signal Parameters via Rotational Invariance Technique [3] , usually make use of orthogonal characteristic between signal subspace and noise subspace. In MUSIC method, degree distinguishing capacity is influenced by data length, which confines the improvement of time efficiency. Due to its poor performance to coherent source signals, there are some imp roved MUSIC methods [4] , blind source separation (BSS) method based on genetic algorithm [5] by use of smoothness thinking, improving time efficiency as well as adding computing. In addition, most methods searches the whole space area so that computing is huge, thus, literature [6] co mbines MUSIC with FFT (Fast Fourier Transform), which reduces space searching range.On the basis of s mart array factor use, the paper solves the DOA problem by co mbin ing ICA with LS way marked as LS-ICA in short 1 .
2.Model and basic algorithm of received array signalIn ULA, there are M array cells, distance of near array cells is d. Assume that incident signal is S(t) with an angle of incidence of , distance between signal source and array antenna is more than d, thus incident signal is thought as surface wave when it enters antenna array. Take array antenna 1 as reference cell (figure 1), suppose received signal in this antenna is 1 ( ) ( ) x t s t , then received signal in cell 2 is [7] : Simp ly, input array signal vector could be described as: