Improved MUSIC direction-of-arrival estimation method
A direction of arrival estimation and improved technology, applied in the fields of communication countermeasure reconnaissance, radar, and signal processing, can solve problems such as errors and difficulties
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Embodiment 1
[0061] Input signal-to-noise ratio SNR=-5dB, the number of signal sampling points is T 1 =1024, the number of signals is 3, the angles of arrival of the signals are respectively -45°, 30°, and 60°, and the number of array elements is M=8.
[0062] An improved MUSIC direction of arrival estimation method, which comprises the following specific steps:
[0063] S1. Constructing a far-field signal DOA estimation model
[0064] Suppose there are 3 far-field signals from the direction θ 1 ,θ 2 ,θ 3 Incident to an array composed of 8 sensors, the array observation signal at time t is X(t), expressed as
[0065]
[0066] Among them, X(t)=[X 1 (t),X 2 (t),...,X M (t)] T is the array observation signal vector, T means transpose;
[0067] a(θ k ) is the array direction vector;
[0068] A(θ)=[a(θ 1 ), a(θ 2 ), a(θ 3 )] is the steering vector matrix composed of direction vectors;
[0069] θ=[θ 1 ,θ 2 ,θ 3 ] T is the arrival angle parameter vector of the signal;
[00...
Embodiment 2
[0112] As shown in Figure 2, the input signal-to-noise ratio SNR = 10dB, and the number of signal sampling points is T 1 =1024, the number of signals is 1, the signal arrival angle is -60°, and the number of array elements is M=8.
[0113] An improved MUSIC direction of arrival estimation method, which comprises the following specific steps:
[0114] S1. Constructing a far-field signal DOA estimation model
[0115] Suppose there is 1 far-field signal from the direction θ 1 Incident to an array composed of 8 sensors, the array observation signal at time t is X(t), expressed as
[0116]
[0117] Among them, X(t)=[X 1 (t),X 2 (t),...,X M (t)] T is the array observation signal vector, T means transpose;
[0118] a(θ k ) is the array direction vector;
[0119] A(θ)=[a(θ 1 )] is the steering vector matrix composed of direction vectors;
[0120] θ=[θ 1 ] T is the arrival angle parameter vector of the signal;
[0121] S(t)=[s 1 (t)] T is the incident signal vector; ...
Embodiment 3
[0164] The input signal-to-noise ratio SNR=10dB, the number of signal sampling points is T 1 =1024, the number of signals is 4, the angles of arrival of the signals are -60°, 15°, 30°, and 45° respectively, and the number of array elements is M=8.
[0165] An improved MUSIC direction of arrival estimation method, which comprises the following specific steps:
[0166] S1. Constructing a far-field signal DOA estimation model
[0167] Suppose there are 4 far-field signals from the direction θ 1 ,θ 2 ,θ 3 ,θ 4 Incident to an array composed of 8 sensors, the array observation signal at time t is X(t), expressed as
[0168]
[0169] Among them, X(t)=[X 1 (t),X 2 (t),...,X M (t)] T is the array observation signal vector, T means transpose;
[0170] a(θ k ) is the array direction vector;
[0171] A(θ)=[a(θ 1 ), a(θ 2 ), a(θ 3 ), a(θ 4 )] is the steering vector matrix composed of direction vectors;
[0172] θ=[θ 1 ,θ 2 ,θ 3 ,θ 4 ] T is the arrival angle paramet...
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