Angular Beamforming Technique for MIMO Beamforming System

Table 2

The process of formation of FLOP with the QB.

QB	FLOP
𝑁𝑖=2^𝐵𝑖	𝐵−1
𝐵𝑎1=𝐵/(𝑁𝑡−1)	2
𝐵𝑎2=𝐵𝑎1+1	1
𝑁𝑠=𝐵−𝐵𝑎1(𝑁𝑡−1)	3
𝜃̈𝑖=2𝜋𝑛𝑖𝑁𝑖;0≤𝑛𝑖≤𝑁𝑖−1	2
Return loop 𝜃^𝑛𝑖𝑖 can find from 𝑁𝑖	𝐵−1
𝐰𝑡𝜃̈^𝑛𝑖1,…,𝜃^𝑛𝑁𝑡−1𝑁𝑡−1=1𝑁𝑡1𝑒^𝑗̈𝜃𝑛11⋮𝑒^𝑗̈𝜃𝑛𝑁𝑡𝑁𝑡−1−1	𝑁𝑡−1
𝐰𝑟=𝐇𝐰𝑡𝜃̈^𝑛𝑖1,𝜃̈^𝑛𝑖2,…,𝜃^𝑛𝑁𝑡−1𝑁𝑡−1𝐇𝐰𝑡𝜃̈^𝑛𝑖1,𝜃̈^𝑛𝑖2,…,𝜃^𝑛𝑁𝑡−1𝑁𝑡−1	3(𝑁𝑡−1)
ℎ𝑠=1𝑁𝑡𝐰^∗𝑟𝐇𝐰𝑡^2	5
Return loop and find maximum; channel from 𝑁𝑖=2^𝐵𝑖	𝐵−1
Total	2𝐵^2+5𝐵+4𝐵𝑁𝑡−4𝑁𝑡−7