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Overview of MIMO systems

Overview of MIMO systems

1 Presentation Array

1 Presentation Array gain principle : The array gain is defined by the gain in mean SNR ( E h1² + ... + E hN ² ) σs σs ² E h² ² S NR= = N = NSNR σn² σn² input The output SNR is N times the input SNR SMARAD / Radio Laboratory 7 1 Presentation Receiving data over N antennas : SMARAD / Radio Laboratory 8

⎡ ⎣ ⎢ 2 SISO Vs MIMO 2 SISO Vs MIMO Capacity of SISO Systems (1 by 1) At fixed time t, the SISO channel is an additive white Gaussian noise (AWGN) channel with capacity : C(t) = log2(1 + SNR siso (t)) Bit/Sec/Hz where SNR siso (t) is the received signal to noise ratio at time t : SNRsiso(t) = h( t)² σs ² σn ² +3dB of extra power needed for one extra bit per transmission ! SMARAD / Radio Laboratory 9 2 SISO Vs MIMO Capacity of MIMO systems Note: we assume channel unknown at transmitter C ρ ⎛ εH ⎜log ⎛ 2 ⎜ = det IM + NΗ ⎝ ⎝ Η ( M N ) ∗ erg ≈α min , ⎞ ⎤ ⎞ ⎥ ⎟ ⎟ ⎦ ⎠ where H is the M X N random channel matrix and ρ is the average signal-to-noise ratio (SNR) at each receiver branch. ⎠ Capacity proportional to min of # TX and # RX antennas! SMARAD / Radio Laboratory 10

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