From: A low computational complexity V-BLAST/STBC detection mechanism in MIMO system
Complex arithmetic operation | ZF with | MMSE with | QR decomposition with | LC-QR with H |
---|---|---|---|---|
Addition | 4(4 N − 1) × (M − 1)2 − 2(M − 1) | 4(4 N − 1) × (M − 1)2 | 2(2 N − 1) × (M − 1) + (M − 2) × (2 M − 3) | N(3 M − 2) + (M − 3) × (M − 1) |
Subtraction | - | - | 2 M − 3 | 2(M − 2) + 2 N + 1 |
Multiplication | 4 N(M − 1) × (4 M − 3) | 4 N(M − 1) × (4 M − 3) | (M − 1) × (4 N + 2 M − 3) | M2 + 3MN − M + 4 |
Division | - | - | 2(M − 1) | 2(M − 2) |
Householder reflection | - | - | 8 N(M − 1)2 − (8/3)(M − 1)3 | NM2 − M3/ 3 |
Gaussian elimination | 8(M − 1)3 | 8(M − 1)3 | - | - |
Total | 8(M − 1)3 + 4(8 N − 1)(M − 1)2 + 2(2 N − 1)(M − 1) | 8(M − 1)3 + 4(8 N − 1)(M − 1)2 + 4 N(M − 1) | 8 N(M − 1)2 − (8/3)(M − 1)3 + (2 M − 3)2 + 2(M − 1)(4 N + 1) − 1 | NM2 − M3/ 3 + (M + 2)(2 N − 1) + 2(M − 2)(M + 2) + 4 N (M − 1) + 10 |