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+//ANALOG AND DIGITAL COMMUNICATION
+//BY Dr.SANJAY SHARMA
+//CHAPTER 7
+//SAMPLING THEORY AND PULSE MODULATION
+clear all;
+clc;
+printf("EXAMPLE 7.4(PAGENO 327)");
+
+//given
+//x(t) = 6*cos(50*%pi*t) + 20*sin(300*%pi*t) - 10*cos(100*%pi*t)
+//by comparing with standard eqn x(t) = A_1*cos(w_1*t) + A_2*sin(w_2*t) + A_3*cos(w_3*t) we get
+w_1 = 50*%pi//frequency in rad/sec
+w_2 =300*%pi//frequency in rad/sec
+w_3 = 100*%pi//frequency in rad/sec
+
+//calculations
+f_1 = w_1/(2*%pi)//frequency in hertz
+f_2 = w_2/(2*%pi)//frequency in hertz
+f_3 = w_3/(2*%pi)//frequency in hertz
+if (f_1 > f_2 & f_1> f_3) then
+ f_max = f_1
+elseif (f_2 > f_1 & f_2> f_3) then
+ f_max = f_2
+else (f_3 > f_1 & f_3> f_2) then
+ f_max = f_3
+ end
+f_s = 2*f_max;//nyquist rate
+
+//results
+printf("\n\nNyquist rate for a continuous signal = %.2f Hz",f_s);