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Unformatted text preview: Lecture 5 - EE 359: Wireless Communications - Fall 2011 Narrowband Model. In-Phase/Quad RX Signals. Uniform AoA. Signal Envelope Distribution Lecture Outline • Narrowband Fading Approximation. • In-Phase and Quad Signal Components under CLT. • Correlation of In-Phase/Quad RX Signal Components in Narrowband Fading. • Correlation and PSD under Uniform Scattering. • Envelope Distributions: Rayleigh, Rician, Nakagami. 1. Narrowband Approximation: • Define the multipath delay spread as T m ( t ) = max n τ n ( t )- min n τ n ( t ) . For random multipath the delay spread is defined relative to its mean or standard deviation. • Assume T m ( t ) << 1 /B for all t (or the equivalent for random multipath). Then u ( t ) ≈ u ( t- τ n ( t )) for all n and t . • Received signal simplifies to r ( t ) = Rfractur u ( t ) e j 2 πf c t N ( t ) summationdisplay n =0 α n ( t ) e jφ n ( t ) • No signal distortion: multipath only affects complex scale factor in brackets. • Characterize scale factor by assuming u ( t ) = 1 2. In-Phase and Quad Signal Components under CLT • Received signal can be written in terms of in-phase and quadrature components as...
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