Question

% Use MATLAB to build a simulation of Quiz 2.3. simulate the transmission % of 10000 packets, each containing 100 bits. Count the number of packets % that abilities. Also calculate the probability of a packet is decoded % correctly. Compare your numbers from MATLAB with your theoretical % calculation. (Hint: look at Example 2.25.) -close all -clear all clc x = randi ( [0 1] , 100, 10000) ; numel (X) -nume l (X (find (Х--1 ) ) ) for i-1 I for i-1 I

Answer 1

clear

k0=0;
k1=0;
k2=0;
k3=0;
packets=1000;
corrected=0;
for packet=1:packets
    errorBit=0;
    maxab=0;
    for bits=1:100
        if rand<=.01
            errorBit=errorBit+1;
        end
    end
    if errorBit==0
        k0=k0+1;
    elseif errorBit==1
        k1=k1+1;
    elseif errorBit==2
        k2=k2+1;
    elseif errorBit==3
        k3=k3+1;
    end
  
    if errorBit<=3
        corrected=corrected+1;
    end
end

k=[k0,k1,k2,k3];
for i=1:4
fprintf('Probability that received packet %d bits in error: %.4f ',i-1,k(i)/packets);
end
fprintf('Probability that a packet is decoded correctly: %.4f ',corrected/packets);

Command Window >>DataPacketsErrorProbability Probability that received packet 0 bits in error: 0.3570 Probability that received packet 1 bits in error: 0.3710 Probability that received packet 2 bits in error: 0.1930 Probability that received packet 3 bits in error: 0.0630 Probability that a packet is decoded correctly: 0.9840 >>DataPacketsErrorProbability Probability that received packet 0 bits in error: 0.3870 Probability that received packet 1 bits in error: 0.3650 Probability that received packet 2 bits in error: 0.1740 Probability that received packet 3 bits in error: 0.0600 Probability that a packet is decoded correctly: 0.9860 >>DataPacketsErrorProbability Probability that received packet 0 bits in error: 0.3770 Probability that received packet 1 bits in error: 0.3550 Probability that received packet 2 bits in error: 0.1800 Probability that received packet 3 bits in error: 0.0700 Probability that a packet is decoded correctly: 0.9820 >>DataPacketsErrorProbability Probability that received packet 0 bits in error: 0.3720 Probability that received packet 1 bits in error: 0.3640 Probability that received packet 2 bits in error: 0.1840 Probability that received packet 3 bits in error: 0.0620 Probability that a packet is decoded correctly: 0.9820