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Complex Fourier Series and Their Properties (m0065)
Author: Don Johnson
Keywords: coefficients, Complex, conjugate, Fourier, orthogonality, Parseval, Parseval's, power, series, spectral, spectrum, square, symmetry, wave
Summary: This module shows how to find a signal's complex Fourier spectrum. It also lists several properties for that spectrum, including that it obeys Parseval's theorem.
Subject: Mathematics and Statistics, Science and Technology
Language: English
Popularity: 93.55%
Revised: 2004-08-04
Revisions: 8
Finding Fourier Series Coefficients (m0060)
Author: Don Johnson
Keywords: average, coefficients, fourier, orthogonality, series, signal, square, value, wave
Summary: This module outlines the procedure for determining Fourier series coefficients.
Subject: Mathematics and Statistics, Science and Technology
Language: English
Popularity: 95.27%
Revised: 2005-05-09
Revisions: 9
Fourier Analysis in Complex Spaces (m10784)
Keywords: aliasing, basis, complex, complex sinusoids, discrete, discrete time fourier series, dtfs, fourier, fourier analysis, fourier series, harmonic, harmonic sinusoids, orthonormal, orthonormal basis
Summary: This modules derives the Discrete-Time Fourier Series (DTFS), which is a fourier series type expansion for discrete-time, periodic functions. The module also takes some time to review complex sinusoids which will be used as our basis.
Subject: Mathematics and Statistics, Science and Technology
Language: English
Popularity: 88.60%
Revised: 2006-09-28
Revisions: 8
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
Fourier Series: Eigenfunction Approach (m10496)
Keywords: coefficient, eigenfunctions, fourier, fourier coefficients, fourier series, inverse transform, LTI, LTI system, signals, transform
Summary: This module will introduce the Fourier Series and its Fourier coefficients using the concepts of eigenfunctions and basis. We will show several examples of how to decompose a signal and find the Fourier coefficients.
Subject: Mathematics and Statistics
Language: English
Popularity: 96.10%
Revised: 2009-09-30
Revisions: 23
Signal Error (m0063)
Author: Don Johnson
Keywords: error, Fourier, rms, Series, Signal
Summary: This module discusses the accuracy of the Fourier Series approximation.
Subject: Science and Technology
Language: English
Popularity: 61.06%
Revised: 2004-08-10
Revisions: 6
Derivation of Fourier Coefficients Equation (m10733)
Author: Michael Haag
Keywords: exponential, fourier, fourier coefficients, fourier series, signals, sinusoid
Summary: The module goes through the steps of deriving the Fourier coefficient equation from the general Fourier series equation.
Subject: Mathematics and Statistics
Language: English
Popularity: 93.58%
Revised: 2005-06-21
Revisions: 7
Periodic Extension to DTFS (m10778)
Author: Roy Ha
Keywords: discrete time fourier series, dtfs, fourier, fourier series, period, periodic
Summary: This module looks at the periodic extensions of the DTFS coefficients and how the coefficients play a critical role in manipulating signals.
Subject: Science and Technology
Language: English
Popularity: 75.09%
Revised: 2009-09-30
Revisions: 10
Eigenvectores y Eigenvalores (m12870)
Translators: Fara Meza, Erika Jackson
Keywords: determinant, eigenfunction, eigenvalue, eigenvalues, eigenvector, fourier, fourier series, linear system
Summary: This module defines eigenvalues and eigenvectors and explains a method of finding them given a matrix. These ideas are presented, along with many examples, in hopes of leading up to an understanding of the Fourier Series.
Subject: Science and Technology
Language: Español
Popularity: 97.16%
Revised: 2005-08-30
Revisions: 2
Fourier Series Wrap-Up (m10749)
Keywords: fourier, fourier series, signal, system
Summary: (Blank Abstract)
Subject: Mathematics and Statistics
Language: English
Popularity: 72.80%
Revised: 2009-09-30
Revisions: 6
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