Module 5

Signals & Systems

Syllabus

Z transform, ROC , Inverse transform, properties, Unilateral Z transform. Relation between DTFT and Z-Transform, Analysis of discrete time LTI systems using Z transforms, Transfer function. Stability and causality using Z transform.

Intro to Z-Transform | ROC | Unilateral & Bilateral Z Transform | inverse ZT | Module 5| S&S Lect 48

Topics

Introduction to Z-Transform - Representation of Z Transform - Expression of Z Transform - ROC of Z Transform - Unilateral & bilateral Z Transform - Inverse Z Transform expression

Relationship between Z transform & DTFT | Existence of Z Transform | Module 5 | S&S Lect 49

Topics

Existence of Z Transform - relationship between z transform and DTFT

Z transform of Basic signals | Module 5 | S&S Lect 50

Topics

Intro - Z transform of unit impulse - Z transform of unit step function - Z transform of exponential function - Z transform of n - Table for z transform of commonly used signals

Properties of Z transform | Properties of ROC | Module 5 | S&S Lect 51

Topics

Intro - Linearity property - Time shifting property - Time reversal property - multiplication by exponential - Differentiation property - convolution property - Properties of ROC - causality and stability

Previous year question paper solution | KTU SEPT 2020 | Z- Transform | Signals & Systems | Lect 52

Question paper

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY

Fourth semester B.Tech examinations (S), September 2020

Intro - Problem 7a(i) - Compute the z transform of - n a^(n-1) u(n) - Problem 7a(ii) - Compute the z transform of - a^(n+1) u(n+1) - Problem 7c) - calculate the inverse z transform

Previous year question paper solution | KTU DEC 2019 | Z- Transform | Signals & Systems | Lect 53

Question paper

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY

Fourth semester B.Tech examinations (S), December 2019

Intro - Problem 7,a) - solving difference equation using z transform - Problem 7,b) - Relationship between DTFT & Z transform - Problem 8,a) - Find the z transform of del[n] u[n], 2^n u[n], u[n] -u[n-3], sin[mega*n] u[n] - Causality & stability of a system using z transform - calculating inverse z transform using partial reaction method

Previous year question paper sol | KTU APR 2018 | Z- Transform | Signals & Systems | Lect 54

Question paper

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY

Fourth semester B.Tech examinations (S), April 2018

Intro - Problem 7a) Calculate ZT of 2^n u[n] & del[n] - Problem 7b) Determine ROC i) x[n]is right sided, ii) FT of x[n]converges, iii) x[n] is left sided - Problem 9a) Properties of ZT ROC, Proof of convolution

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