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Table 1 Complexity comparison

From: A simple block diagonal precoding for multi-user MIMO broadcast channels

Method Computational complexity
SVD-BD 6 K 9 K 1 N k 3 + 8 K 1 N k 2 N T + 4 K 1 N k N T 2
8KN k N T (N T  − (K − 1)N k )
6 K 9 N k 3 + 8 N k 2 N T K 1 N k + 4 N k N T K 1 N K 2
2K2N k 2 + 6KN k
K N k + 2 K N k 2 + 8 K N T N T K 1 N k N k
QR-BD 12 K K 1 2 N k 2 N T K 1 N k / 3
8KN k N T (N T  − (K − 1)N k )
6 K 9 N k 3 + 8 N k 2 N T K 1 N k + 4 N k N T K 1 N k 2
2K2N k 2 + 6KN k
  K N k + 2 K N k 2 + 8 K N T N T K 1 N k N k