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clc;
//page 567
//problem 11.5
//The voltage level of reciever is V = 5 mV
V = 5*10^-3;
//The time required to transfer one bit is T = 1/9600 sec
T = 9600^-1;
//the signal energy of a bit be Es
Es = (V^2)*T;
//The power spectral density is n/2 = 10^-9 Watt/hertz
n = 2*10^-9;
//Probability error for optimal reciever is Pe
Pe = 0.5*erfc((Es/n)^0.5);
disp('The probability of error is '+string(Pe));
//When the data rate is doubled, the new effective energy per bit is Es_new
Es_new = (V^2)*(T/2);
//The new probability of error is Pe_new
Pe_new = 0.5*erfc((Es_new/n)^0.5);
//Percentage increase in error rate is P
P = 100*(Pe_new - Pe)/Pe;
disp('Percentage increase in error rate is '+string(P));
//Voltage required to restore probability levels, V_new
V_new = V*2^0.5;
disp('Voltage required to restore the probability levels is '+string(V_new)+' Volts');
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