Method for estimating signal wave direction
A technology for direction estimation and direction of arrival, which is applied in radio/inductive link selection arrangements, diversity/multi-antenna systems, selection devices, etc., can solve the problems of inability to effectively estimate signal direction of arrival, increase in cost, etc., and achieve improved performance , the effect of eliminating the influence of noise
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[0018] For the unknown color noise background, we assume that the noise covariance matrix has a symmetric Toeplitz matrix property. The antenna array is a uniform linear array, each array element is an omnidirectional antenna, the number of array elements is M, and the interval between array elements is d. Assume that q narrowband far-field incoherent signals are distributed from the direction θ i , i=1, L, q, incident to the antenna array.
[0019] Then the data vector received by the array at time t can be expressed as:
[0020] X(t)=AS(t)+n(t)
[0021] where X(t)=[x 1 (t), L, x M (t)] T is the received data vector, A=[a(θ 1 ), L, a(θ q )] is M×q dimension direction matrix, a(θ)=[1, e -j2πd(sinθ) / λ , L, e -j2πd(M-1)(sinθ) / λ ] T is the steering vector corresponding to the incident angle θ, λ is the signal wavelength, S(t)=[s 1 (t), L, S q (t)] T is a q×1-dimensional signal vector, n(t)=[n 1 (t), L n M (t)] T is M×1-dimensional noise vector, () T Represents a ...
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