Plot the real and imaginary parts of the signal phasor

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Reference no: EM132869031

Communications Assignment

The assignment is to determine the probability of error for a binary FSK system using Monte Carlo simulation. The binary FSK signal will be generated in complex baseband form (ie. as a phasor), noise added and then filtered by a matched filter. The filter output will be sampled and a decision made as to whether the digital data is +1 or -1. By comparing the decision with the original data we can count errors. If the probability is estimated from a count nerrs, the 90% confidence limits for the estimated probability of error are approximately exp[± 1.645/√(nerrs)] times the estimated probability. To get a reasonably accurate estimate we therefore need nerrs ≥ 10, which for a probability of error of 10^-4means a data length of 105 symbols is required. For nerrs = 10 the exact 90% confidence limits are 1.68 and 0.59 times the estimate.

To avoid large data arrays in MATLAB, the data is to be processed in segments and once processed the data will be discarded. This will enable the program to run on versions of MATLAB which restrict array sizes. While the simulation can be run in one go using large array sizes, for this assignment you are required to use the data segmentation technique. If you wish to make use of Python this is a possible alternative.

The FSK signal will be sampled with m = 8 samples per symbol and each segment will contain n = 32 symbols, giving a data segment of N = m x n = 256 samples.

Tasks to be Performed
Your submission should contain a detailed description of your procedures, theoretical analysis, the graphical plots required and your MATLAB code with plenty of comments. The assignment is expected to be your own work, copies of another person's work will not be favourably received.

1. Plot the real and imaginary parts of the signal phasor (without noise) for one segment.

2. Do steps 3 and 4 for number of segments R = 20 and R = 2000.

3. For each value of γ, determine the error probability as determined by the simulation and also calculate the theoretical value.

4. Plot the measured and theoretical probabilities of error against γ in dB on the one graph. Plot the theoretical values as a line and the measured values as an "*". Probabilities should be plotted on a logarithmic scale in the range 10-5 to 100.

Attachment:- Communications.rar

Reference no: EM132869031

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