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Z - transform

Z - transform

Z - transform. Defined as power series Examples:. Z - transform. And since We get. ? +ve and > 1. ? +ve and = 1. ? +ve and < 1. Z - transform. Define. Z - transform. We have ie Note that has a pole at on the z-plane. Z - transform. Note:

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1.16k views • 17 slides
Chapter 3 the z-Transform

Chapter 3 the z-Transform

Chapter 3 the z-Transform. 3.1 definition 3.2 properties of ROC 3.3 the inverse z-transform 3.4 z-transform properties. 3.1 definition. Figure 3.2. the condition for convergence ?. ROC takes the poles as its boundary. EXAMPLE:. 3.2 properties of ROC. 3.3 the inverse z-transform.

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279 views • 16 slides
The Inverse Z-Transform

The Inverse Z-Transform

The Inverse Z-Transform. Formal inverse z-transform is based on a Cauchy integral Less formal ways sufficient most of the time Inspection method Partial fraction expansion Power series expansion Inspection Method Make use of known z-transform pairs such as

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LECTURE 18: FOURIER ANALYSIS OF CT SYSTEMS

LECTURE 18: FOURIER ANALYSIS OF CT SYSTEMS

LECTURE 18: FOURIER ANALYSIS OF CT SYSTEMS. Objectives: Response to a Sinusoidal Input Frequency Analysis of an RC Circuit Response to Periodic Inputs Response to Nonperiodic Inputs Analysis of Ideal Filters Resources: Wiki: The RC Circuit CN: Response of an RC Circuit CNX: Ideal Filters.

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LECTURE 09: THE TRIGONOMETRIC FOURIER SERIES

LECTURE 09: THE TRIGONOMETRIC FOURIER SERIES

LECTURE 09: THE TRIGONOMETRIC FOURIER SERIES. Objectives: The Trigonometric Fourier Series Pulse Train Example Symmetry (Even and Odd Functions) Line Spectra Power Spectra More Properties More Examples

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942 views • 12 slides
Z -transforms

Z -transforms

Z -transforms. Z -transforms. For discrete-time systems, z -transforms play the same role of Laplace transforms do in continuous-time systems As with the Laplace transform, we compute forward and inverse z -transforms by use of transforms pairs and properties. Bilateral Forward z -transform.

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LECTURE 22: PROPERTIES OF THE LAPLACE TRANSFORM

LECTURE 22: PROPERTIES OF THE LAPLACE TRANSFORM

LECTURE 22: PROPERTIES OF THE LAPLACE TRANSFORM. Objectives: Familiar Properties Initial and Final Value Theorems Unilateral Laplace Transform Inverse Laplace Transform

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336 views • 11 slides

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