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Fourier Transform Example (m0068)
Author: Don Johnson
Keywords: Fourier, pulse, series, signal, transform
Summary: This module calculates the Fourier transform of the pulse signal.
Subject: Mathematics and Statistics
Language: English
Popularity: 97.09%
Revised: 2009-01-30
Revisions: 9
m18 - Region of Convergence for the Z-Transform (m13889)
Keywords: bilateral z transform, region of convergence, z transform
Summary: Because the z transform is defined as an infinite summation, questions of convergence of the sum are important. The region of convergence in the region in the complex z plane where the sum converges.
Subject: Science and Technology, Mathematics and Statistics
Language: English
Popularity: 63.42%
Revised: 2006-09-17
Revisions: New
m17 - Solution of Difference Equations using the Z-Transform (m13888)
Keywords: difference equation, z transform
Summary: The z transform will convert a linear, constant coefficient difference equation into an algebraic equation. This is the same as the Laplace transform converting a differential equation into an algebraic equation.
Subject: Science and Technology, Mathematics and Statistics
Language: English
Popularity: 89.14%
Revised: 2006-09-17
Revisions: New
m15 - The Z-Transform (m13886)
Keywords: DSP, z transform
Summary: The z-transform is a generalization of the DTFT as the Laplace transform is a generalization of the Fourier tranform. It allow the theory of complex variables to be used.
Subject: Science and Technology, Mathematics and Statistics
Language: English
Popularity: 79.23%
Revised: 2006-09-17
Revisions: New
The Inverse Fourier Transform (m0069)
Author: Don Johnson
Keywords: Fourier, inverse, transform
Summary: This module explains the inverse Fourier transform.
Subject: Mathematics and Statistics, Science and Technology
Language: English
Popularity: 92.73%
Revised: 2004-08-10
Revisions: 6
m16 - Properties of the Z-Transform (m13887)
Keywords: properties, z transform
Summary: The properties of the z transform are similar to those of the DTFT.
Subject: Science and Technology, Mathematics and Statistics
Language: English
Popularity: 57.21%
Revised: 2006-09-17
Revisions: New
m22 - The Z-Transform Transfer Function (m13894)
Keywords: linear system, transfer function, z transform
Summary: The transfer function for a linear, time invariant discrete time system is the z transform of the impulse response. It is also the ratio of the z transform of the output over the z transform of the input.
Subject: Science and Technology, Mathematics and Statistics
Language: English
Popularity: 77.94%
Revised: 2006-09-17
Revisions: New
Table of Common z-Transforms (m10119)
Keywords: discrete time, DSP, transform pairs, unilateral, z transform, z-transform
Summary: Lists the z-transform and region of convergence (ROC) for several common discrete-time signals.
Subject: Mathematics and Statistics
Language: English
Popularity: 98.82%
Revised: 2009-10-01
Revisions: 15
Derivation of the Fourier Transform (m0046)
Author: Don Johnson
Keywords: Fourier series, Fourier transform, inverse Fourier transform, Parseval's theorem, pulse
Summary: This module shows how to derive the scintillating and useful Fourier transform.
Subject: Mathematics and Statistics
Language: English
Popularity: 97.86%
Revised: 2009-06-04
Revisions: 22
Discrete-Time Fourier Transform (DTFT) (m10247)
Author: Don Johnson
Keywords: analog, digital, digital signal processing, discrete-time, discrete-time Fourier transform, DSP, Fourier transform, Nyquist frequency, Parseval's Theorem
Summary: Discussion of Discrete-time Fourier Transforms. Topics include comparison with analog transforms and discussion of Parseval's theorem.
Subject: Mathematics and Statistics
Language: English
Popularity: 97.83%
Revised: 2009-07-06
Revisions: 31
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