Net 222: Communications and networks fundamentals (Practical Part) Networks and Communication Department Lab 5 : linear and Time invariance system

Lecture Contants Linear system Time invariance system Networks and Communication Department

Linear System If a system is linear, this means that when an input to a given system is scaled by a value, the output of the system is scaled by the same amount. Ya[n]=Yb[n] is linear system.

Linear system coding We could write a system that test if the giving input are linear or NOT Eg: yn[n]=x[n]^4 By Assuming : X[n]1=sin(3) X[n]2=sin(5) Scaling value a=4 Networks and Communication Department

Example output YA != YB Networks and Communication Department

Example Another Eg: yn[n]= 2*x[n] YA = YB X[n]1=sin(3) X[n]2=sin(5) Scaling value a=4 output YA = YB Networks and Communication Department

Time-Invariant System : X[n] Y1[n]=y[n-n0] S T Y2[n]=T{x[n-n0]} Y1[n]=Y2[n] for all n T is time invariant 24-Feb-19 Networks and Communication Department

Example We could write a system that test if the giving input are linear or NOT Eg: yn[n]=x[n]*sin(3) By Assuming : X[n]=3 Shifting value n0=4 output Networks and Communication Department

The End Any Questions ? Networks and Communication Department