Method for estimating signal wave direction
A direction estimation and direction of arrival technology, applied in the field of network positioning, can solve the problems of increased cost and inability to effectively estimate the direction of arrival of signals, and achieve the effect of eliminating noise influence and improving performance
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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. Then the data vector received by the array at time t can be expressed as:
[0019] X(t)=AS(t)+n(t)
[0020] 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 transpose...
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