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Interference Statistics in Two Antennae in a Poisson Field of Interferers. PROBLEM STATEMENT. SYSTEM MODEL. Two distributed receiver antennae ( ) in a Poisson field of interferers ( ). Derive joint statistics of interference across two antennae in Poisson field of interferers.
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Interference Statistics in Two Antennae in a Poisson Field of Interferers PROBLEM STATEMENT SYSTEM MODEL Two distributed receiver antennae ( ) in a Poisson field of interferers ( ) Derive joint statistics of interference across two antennae in Poisson field of interferers • Key Features • Receiver antennae ( ) are separated by distance • Interferers ( )are stochastically distributed in space as a 2D Poisson point process with intensity • Signal propagation modeled as power law pathloss with pathloss coefficient • Rayleigh fast fading between interferer and receiver. (i.i.d. across the receivers) • Applications • Interference modeling in • Distributed antennae • Relay networks • Mesh networks • Cooperative MIMO receivers STATISTICAL DERIVATION NUMERICAL SIMULATION Interference amplitude model • Complementary cumulative distribution function • ccdf = • Used to derive error probabilities in communication systems Interference at receiver 2 Interference at receiver 1 PATHLOSS FADINGCHANNEL INTERFERER EMISSION DISTANCES BETWEEN INTERFERER AND RECEIVERS ARE CORRELATED INTERFERERS : Interference is isotropic : Interference is mix of isotropic and independent :Interference is independent