Integral Transforms and Z Transform

Garant předmětu:

Lecturer:

Tutor:

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Department of Mathematics

Synopsis:

Basic types of integral transforms, linearity. Laplace transform,

inversion, limit theorems. Fourier transform. Application to solving

integral and differential equations. Introduction to distribution

theory, Fourier and Laplace transforms of distributions. Linear

dynamic systems, causality, passivity, convolution. Systems with

bounded spectrum. Z-transform and difference equations.

Requirements:

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Study Objective:

Study materials:

1. L. Debnath: Integral Transforms and Their Applications. CRC Press, Florida, 1995.

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Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Doctoral studies, daily studies (compulsory elective course)
• Doctoral studies, combined studies (compulsory elective course)
• Doctoral studies, structured daily studies (compulsory elective course)
• Doctoral studies, structured combined studies (compulsory elective course)