Linear & Non-Linear Systems |Solved problems|

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1. 15EE55C – Digital Signal Processing and its Applications Classification of Systems – Linear and Non Linear Systems Dr. M. Bakrutheen AP(SG)/EEE Mr. K. Karthik Kumar AP/EEE DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING NATIONAL ENGINEERING COLLEGE, K.R. NAGAR, KOVILPATTI – 628 503 ( An Autonomous Institution, Affiliated to Anna University – Chennai)

2. Linear and Non linear Systems A linear system is one which satisfies the principle of superposition and homogeneity or scaling Consider a linear system characterized by the transformation operator T[]. Let x 1 , x 2  are the inputs applied to it and y 1 , y 2  are the outputs. Then the following equations hold for a linear system y1(n) = T[x1(n)], y2 = T[x2(n)]         Principle of homogeneity: T [a*x1(n)] = a*y1(n), T [b*x2(n)] = =b*y2(n) Principle of superposition: T [x1(n)] + T [x2(n)] = y1(n)+y2(n) Linearity: T [a*x1(n)] + T [b*x2(n)] = a*y1(n)+b*y2(n) .

3. Linear and Non Linear Systems

4. Linear and Non Linear Systems - Procedure

5. Linear and Non Linear Systems - Procedure

6. Problems