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Overview of MIMO systems

Overview of MIMO systems

3 Spatial multiplexing

3 Spatial multiplexing MIMO spatial multiplexing in Line-of-sight ⎡111 ⎤ Η ≈α ⎢111 ⎥ ⎢⎣ 111 ⎥⎦ The system is near rank one (non invertible) !! Spatial multiplexing requires multipath to work !! SMARAD / Radio Laboratory 15 3 Spatial multiplexing 3.3 V-BLAST/ D-BLAST Algorithms (Bell-labs LAyered Space-Time architecture) Belong to the class of Layered Space-Time Coding • In D-BLAST, output of coders can be applied to the transmit antennas in turn Diagonal LST coding (D-BLAST) • In V-BLAST, output of coders operate co-channel with synchronized symbol timing Vertical LST coding (V-BLAST) SMARAD / Radio Laboratory 16

4 receiver design 4 MIMO Receiver Design 4.1 Linear receivers for BLAST (Zero-Forcing, MMSE) Zero-Forcing receiver ⎡x ⎢x ⎢⎣ : 1 2 ⎤ ⎡h ⎥= ⎢h ⎥⎦ ⎢⎣ : 11 21 h h : 12 22 .. ⎤ ⎡S .. ⎥ ⎢S : ⎥⎦ ⎢⎣ : 1 2 ⎤ ⎥+ N ⎥⎦ Zero Forcing implements matrix (pseudo)-inverse (ignores noise enhancement problems) : Where : Η # ⎜ = ⎛ ⎝ ∗ Η Η ⎟ ⎞ ⎠ −1 Η ∗ Sˆ = Η # X SMARAD / Radio Laboratory 17 4 receiver design MMSE receiver The MMSE (Minimum mean square error) receiver optimizes the following criterion: We find: W = argmin {E |W*x – s| ²} Ŝ = H*(HH* + Rn) -1 x where Rn is the noise/intf covariance. This offers a compromise between residual interference between input signals and noise enhancement. SMARAD / Radio Laboratory 18

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