Question

In the study of Signal and System, it is important to understand the system characteristics such as linearity, time invariance, stability, causality and invariability. In this experiment, write a function that uses inputs x1[n]=3?[n] and x2[n]=7?[n] to determine if the system output Y[n]={tan (3(pi)n/11)}2 + sin(6(pi)n/21) + cos(7(pi)n/21){x[n] + 1} represents the output of a linear system.

Using MATLAB

Answer 1

As we can see from the above graph that the output when input is sum of x1&x2 is equal to the sum of outputs y1 and y2 corresponding to inputs x1 and x2 respectively. Therefore the given system is a linear system.