EE 567 Final Project

This project consists three parts: filter exploration, BPSK signal after LPF with BER vs SNR plot (optimum detection), and signal detection in noise. In filter exploration, a downconverted signal is applied to two types of a low pass filters (LPF): integrate and dump (I&D), and IIR filter respectively. I derived their analytical impulse and step response, and plot both responses in Matlab. In second part, configure the amplitude of incoming signal and noise variance, then applied I&D and IIR filter to the signal plus noise and plot the BER vs SNR graph. Vary the parameters of both filter to see the change of outcome. In signal detection in noise part, simulate the direct integration approach to signal detection using the square law detector, and plot probability of detection results for SNR ranging from 0 to 15dB in Matlab. Then include the post detector integrator and M of N logic detector to simulate the performance.

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This project is a great opportunity for me to understand the setup of low pass filter and its application when transmitting bits and signals. It also has many comparisons between analytical derivation and the simulation output. I investigated the detection of signals in noise as well as the comparison of detection performance with different post detectors.