Problem 1. A Linear Time Invariant (LTI) system is defined by the Linear Difference Equation y[n]=1.2728y[n–1]-0.81y[n– 2]+x[n]– x[n– 1] with x[n], y[n] input and output sequences respectively. Q1. Determine its transfer function H(z),poles, zeros and Region of Convergence (ROC);

Problem 1. A Linear Time Invariant (LTI) system is defined by the Linear Difference Equation y[n]=1.2728y[n–1]-0.81y[n– 2]+x[n]– x[n– 1] with x[n], y[n] input and output sequences respectively. Q1. Determine its transfer function H(z),poles, zeros and Region of Convergence (ROC);

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

**Problem 1.** A Linear Time Invariant (LTI) system is defined by the Linear Difference Equation

\[ y[n] = 1.2728y[n - 1] - 0.81y[n - 2] + x[n] - x[n - 1] \]

with $ x[n], y[n] $ input and output sequences respectively.

**Q1.** Determine its transfer function $ H(z) $, poles, zeros, and Region of Convergence (ROC).

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