Channel Estimation for Broadband Millimeter Wave MIMO Systems Based on High-Order PARALIND Model

Algorithm 2

PARALIND-based channel estimation algorithm.

Input: Received signals

Step 1: Model the received signals as PARALIND;

Step 2: Estimate and by PARALIND decomposition algorithm, denoted as and ;

Step 3: Estimate from by solving (32), denoted as ;

Step 4: Estimate the column space of the array steering vectors of scatter multipath from by solving (33), denoted as

Step 5: Estimate AoAs from by solving (34)-(42), denoted as ;

Step 6: Construct the estimation of array steering matrix by ;

Step 7: Estimate path fading coefficients by solving (43), denoted as , given and ;

Step 8: Calculate the estimation of path fading coefficients matrix of th subcarrier channel

Where is the th column of . The estimation of can be obtained by using (6).

Output: Estimated channel ;