To enhance communication system design, we need to investigate statistical properties of received signals in wireless environments. Consider a scenario with numerous obstacles, no line-of-sight path between transmitter and receiver, large separation distance (>500m), and many randomly distributed obstacles (N>50). Assuming reflected signals reach the receiver with equal strength (E=1) and carrier frequency of 1GHz, this simulation explores: (1) Phase distribution of received sine waves; (2) Mean/variance calculation and PDF plotting of signal amplitude; (3) Rayleigh distribution analysis with parameter √(N·E), including theoretical expectation and variance verification.
MATLAB
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