Signal detection method having compression perception process based on orthogonal matching pursuit
An orthogonal matching tracking and compressive sensing technology, applied in baseband system components, transmission monitoring, electrical components, etc., can solve the problem of resource waste and achieve the effect of saving resources
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[0016] Specific implementation mode 1: According to the instructions attached figure 1 To describe this embodiment in detail, the signal detection method with compressed sensing process based on quadrature matching tracking described in this embodiment is as follows:
[0017] Step 1: Set the preset number of iterations T, and set the margin r t The initial value r 0 And empty matrix V 0 , Make r 0 =y, then calculate the sensing matrix V=ΦΨ, where y is the sampled value, Φ represents the compressed sensing sampling process, and Ψ represents the transform domain of the signal of interest s;
[0018] Step 2: According to the formula n t =arg Select from the sensor matrix V and the margin r t-1 Correlation maximum column vector v nt ;
[0019] Step 3: According to formula V t =[V t-1 v nt ] Update matrix V t-1 For V t , Where V t Represents the sensor matrix after the tth iteration;
[0020] Step 4: According to the formula Obtain sparse coefficient estimates y-V t θ means residual er...
Example Embodiment
[0024] Embodiment 2: This embodiment is a further description of the signal detection method with compressed sensing process based on orthogonal matching tracking described in Embodiment 1. According to the formula n in step 2 of Embodiment 1, t =arg t-1 , V i > Select from the sensor matrix V and the margin r t-1 The specific process of the correlation maximum column vector vnt with the greatest correlation is: successively find the margin r t-1 And each column v in the sensing matrix V i (i=1,...,N) inner product t-1 , V i > , The sequence number of the column vector corresponding to the largest inner product is n t , 1≤n t ≤N, set the column vector number n t The corresponding column vector v in the sensor matrix V i Selected as the margin r in the tth iteration t-1 Correlation maximum column vector v nt , Where the number of iterations t is a natural number and less than the preset number of iterations T.
[0025] The detection principle of this specific embodiment is:
[0026] ...
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