A Spaceborne Multi-beamforming Method Based on Improved LMS Algorithm
An LMS algorithm and multi-beam technology, applied in diversity/multi-antenna systems, space transmit diversity, electrical components, etc., can solve problems such as slow convergence speed and heavy satellite load, and achieve burden reduction, system cost reduction, and accurate beam Shaped effect
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specific Embodiment approach 1
[0035] Specific implementation mode one: combine figure 1 To describe this embodiment,
[0036] A spaceborne multi-beamforming method based on the improved LMS algorithm, comprising the following steps:
[0037] Step 1. Arranging the phased array antenna in a straight line with N array elements, defining the array element weight vector w(k) and initializing it;
[0038] Step 2. Calculate the error value e(k) at the k sampling time through the input signal x(k) corresponding to the k sampling time (x(k) is actually a vector) and the array element weight vector w(k),
[0039] e(k)=d(k)-y(k)
[0040] y(k)=w H (k)x(k)
[0041] Among them, d(k) is the expected output signal corresponding to k sampling time, y(k) is the actual output signal corresponding to k sampling time; w H (k) represents the transpose conjugate of w(k);
[0042] Step 3. Calculate the array element weight vector w(k+1) at sampling time k+1 through the input signal x(k) and error value e(k) at sampling time...
specific Embodiment approach 2
[0051] The number M of sampling points set in this embodiment is equal to the number N of elements of the phased array antenna arranged in a straight line.
[0052] Other steps and parameters are the same as those in the first embodiment.
specific Embodiment approach 3
[0054] In step 1 of this embodiment, the element weight vector w(k) is initialized to 0, that is, w(k)=0.
[0055] Other steps and parameters are the same as those in Embodiment 1 or 2.
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