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Principles of Communications
Programming Project, 2011
Aim of the Project
To study the principles and analyze the performances of various digital modulation techniques (2ASK, 2FSK, 2PSK and 2DPSK).
Contents of the Project:
Generate a random binary sequence consisting of 0 and 1, and modulate it at a certain carrier frequency using 2ASK, 2FSK, 2PSK and 2DPSK. The modulation parameters are up to your own design. Please plot the signal waveform of the first 8 bits in time domain for each modulation.
Transmit the above four signals over an additive Gaussian white noise channel. Please draw the functional block diagrams of both coherent and non-coherent receivers, and determine the mathematical expression of observation before decision at the receiver for each of them. If a signal cannot be demodulated using non-coherent receiver, please explain.
According to the results in 2), program to implement the decision process at the receiver. By comparing the decision results with the original information bits, find out the bit error ratio (BER, ) at different signal-to-noise ratio (SNR) per bit . Plot the curves of versus .
Plot the theoretical values of BER in the same figure as the simulation results. Please compare and discuss on the simulation results and theoretical values. Please also discuss the performance difference among the different modulation techniques.
Note 1: In the simulation program, band-limited Gaussian noise can be used to approximate the white Gaussian noise. Assume that the band-limited Gaussian noise has a bandwidth of Hz and with auto-correlation function given by . If it is sampled at a rate Hz, then all the sample values of the noise are independent with zero-mean and variance of .
Note 2: The relationship between sample frequency and carrier frequency must satisfy .
Note 3: It is recommended that the range of in the simulation is from 0 dB to 10 dB and the interval of adjacent values is 1 dB.
Note 4: Sufficient number of simulation runs
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