Radar Coincidence Imaging under Grid Mismatch

Table 1

The flow of the joint correlation-parameterization method.

Step 1	Set the iteration step maximum 𝑇max and the stop limitation η, 𝑘=0.
Step 2	Discretize the target area and compute the reference signal.
Step 3	Obtain the scattering-coefficient vector 𝝈𝑐 using the correlation method.
Step 4	Set a threshold 𝜎𝑇 to determine Λ={𝑙1,𝑙2,…,𝑙𝑀}, where 𝝈𝑐(𝑙𝑚)<𝜎𝑇.
Step 5	Compose the coincidence imaging equation. Obtain the initial estimation 𝝈^(𝑘) using the parameterized method. Set 𝐒𝐫^(𝑘)=𝐒𝐫.
Step 6	Compute the inverse matrix of the reference matrix 𝐒 , and then according to Λ obtain 𝐒Λ^−1=[𝜶𝑙1,𝜶𝑙2,…,𝜶𝑙𝑀]^𝑇.
Step 7	Derive 𝝈Λ^(𝑘)=[𝜎𝑙^(𝑘)1,𝜎𝑙^(𝑘)2,…,𝜎𝑙^(𝑘)𝑀]^𝑇.
Step 8	Compute the modeling noise 𝜺𝑚^(𝑘)=𝐒^†Λ𝝈Λ^(𝑘), 𝑘=𝑘+1.
Step 9	Update the scattering-coefficient vector as 𝝈^(𝑘)=𝐒^−1(𝐒𝐫^(𝑘−1)−𝜺𝑚^(𝑘−1)).
Step 10	Stop if 𝝈^(𝑘)−𝝈^(𝑘−1)≤𝜂 or 𝑘≥𝑇max. Otherwise 𝐒𝐫^(𝑘)=𝐒𝐫^(𝑘−1)−𝜺𝑚^(𝑘), and go to Step 7.