Instrumental Variable-Based OMP Identification Algorithm for Hammerstein Systems

Algorithm 1

(IV-OMP algorithm).

IV-OMP for CS Recovery

Measurement matrix: .

output vector: , sparsity level: K,

parameter vector

Initialization: repeat

 Form by Equation (32);

  = index of the highest amplitude component of

 If let to get .

  and let to get

 let to get

untilk = a fixed positive integer s,.t. .

Estimated parameter vector: and with