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+//ANALOG AND DIGITAL COMMUNICATION
+//BY Dr.SANJAY SHARMA
+//CHAPTER 7
+//SAMPLING THEORY AND PULSE MODULATION
+clear all;
+clc;
+printf("EXAMPLE 7.13(PAGENO 326)");
+
+//given
+//x(t) = 8*cos(200*%pi*t)
+f= 100//highest frequency component of continuous time signal in hertz
+f_s2 = 400//sampling frequency in hertz for second condition
+f_s3 = 400//sampling frequency in hertz for third condition
+f_s4 = 150//sampling frequency in hertz for fourth condition since 0 < f_s4 < f_s2/2 
+
+//calcultions
+NR = 2*f//Nyquist rate
+F_1 = f/NR;
+F_2 = f/f_s2;
+F_3 = f/f_s3;
+F_4 = f/f_s4;
+f_4 = f_s4*F_4;
+
+//results
+printf("\n\nThe discrete time signal x(n) for the first condition is x(n) = 8*cos(2*3.14*%.2f*n)",F_1);
+printf("\n\nthe discrete time signal x(n) for the second condition is x(n) = 8*cos(2*3.14*%.2f*n)",F_2);
+printf("\n\nthe discrete time signal x(n) for the third condition is x(n) = 8*cos(2*3.14*%.2f*n)",F_3);
+printf("\n\nThe discrete time signal x(n) for the fourth condition is x(n) = 8*cos(2*3.14*%.2f*t)",f_4);