Linear difference equations - PowerPoint PPT Presentation

EE513 Audio Signals and Systems

EE513 Audio Signals and Systems. Digital Signal Processing (Systems) Kevin D. Donohue Electrical and Computer Engineering University of Kentucky. Laplace to begin with.

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Lecture 3, Tuesday, Aug. 29.

Lecture 3, Tuesday, Aug. 29. Chapter 2: Single species growth models, continued 2.1. Linear difference equations, Fibonacci number and golden ratio. Required Reading: The whole chapter 1. Suggested Reading: http://en.wikipedia.org/wiki/Fibonacci_number. Objectives. Answer questions

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Difference Equations

Difference Equations. Linear Difference Equations. Discrete-time LTI systems can sometimes be characterized by difference equations y [ n ] = (1/2) y [ n -1] + (1/8) y [ n -2] + x [ n ] Taking z -transform of difference equation gives description of system in z -domain. +. x [ n ]. .

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