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Eigenvectors and Eigenvalues (m10736)
Maintainers: Michael Haag, Justin Romberg, Richard Baraniuk, Mariyah Poonawala, Prashant Singh, Matthew Hutchinson
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: Mathematics and Statistics
Language: English
Popularity: 99.17%
Revised: 2010-07-29
Revisions: 9
Sampling Theorem (m10791)
Maintainers: Stephen Kruzick, Prashant Singh, Richard Baraniuk, Mariyah Poonawala, Matthew Hutchinson, Daniel Williamson
Keywords: dsp, Nyquist, Nyquist frequency, Nyquist theorem, reconstruction, sample, sampling, Shannon, theorem
Summary: This module builds on the intuition developed in the sampling module to discuss the Nyquist-Shannon sampling theorem, including a full statement and a proof.
Subject: Science and Technology
Language: English
Popularity: 98.91%
Revised: 2010-07-28
Revisions: 8
Linear Algebra: The Basics (m10734)
Maintainers: Michael Haag, Justin Romberg, Richard Baraniuk, Mariyah Poonawala, Prashant Singh, Matthew Hutchinson
Keywords: bases, basis, independence, linear algebra, linear independence, span
Summary: This module will give a very brief tutorial on some of the basic terms and ideas of linear algebra. These will include linear independence, span, and basis.
Subject: Mathematics and Statistics
Language: English
Popularity: 98.37%
Revised: 2010-07-29
Revisions: 7
Fixed Point Arithmetic (m11054)
Author: Hyeokho Choi
Maintainers: Charlet Reedstrom, Hyeokho Choi, Richard Baraniuk
Keywords: fixed point arithmetic
Subject: Mathematics and Statistics, Science and Technology
Language: English
Popularity: 97.90%
Revised: 2005-08-16
Revisions: 3
A First Course in Electrical and Computer Engineering (col10685)
Author: Louis Scharf
Maintainers: Louis Scharf, Daniel Williamson, C. Sidney Burrus, Richard Baraniuk
Keywords: Computer engineering, computers, Electrical engineering, engineering, MATLAB
Subject: Mathematics and Statistics, Science and Technology
Language: English
Popularity: 97.85%
Revised: 2009-09-14
Revisions: 2
Discrete Fourier Transform (DFT) (m10249)
Author: Don Johnson
Maintainers: Don Johnson, Prashant Singh, John Cottrell, Mariyah Poonawala, CJ Ganier, Richard Baraniuk, Matthew Hutchinson
Keywords: DFT, Discrete Fourier Transform, Fourier Transform
Summary: The Fourier transform can be computed in discrete-time despite the complications caused by a finite signal and continuous frequency.
Subject: Mathematics and Statistics
Language: English
Popularity: 97.60%
Revised: 2009-10-01
Revisions: 29
Cauchy-Schwarz Inequality (m10757)
Maintainers: Michael Haag, Justin Romberg, Richard Baraniuk, Mariyah Poonawala, Prashant Singh, Stephen Kruzick, Daniel Williamson, Dan Calderon, Catherine Elder
Keywords: cauch-schwarz, cauchy, cauchy-schwarz inequality, csi, cuachy, frequency shift keying, fsk, hilbert, hilbert space, inner product, inner products, inner product space, matched filter, matched filter detector, matched filters, proof, radar, schwarz, waldo
Summary: This module provides both statement and proof of the Cauchy-Schwarz inequality and discusses its practical implications with regard to the matched filter detector.
Subject: Mathematics and Statistics
Language: English
Popularity: 97.24%
Revised: 2010-07-19
Revisions: 8
Deconvolution Basics (m12472)
Maintainers: Matthew Hutchinson, Adan Galvan, Richard Baraniuk
Keywords: deconvolution, deconvolve, homomorphic filtering, isolate convolved signals, reverse convolution, separte convolved signals
Summary: How to isolate two convolved signals.
Subject: Science and Technology
Language: English
Popularity: 97.22%
Revised: 2004-12-21
Revisions: 5
Cepstrum (m12469)
Maintainers: Brian Van Osdol, Adan Galvan, Richard Baraniuk
Keywords: cepstrum, liftering, quefrency, speech, unvoiced, voiced
Summary: Use and application of the cepstrum domain for speech analysis.
Subject: Science and Technology
Language: English
Popularity: 96.99%
Revised: 2004-12-21
Revisions: 4
The Inverse Laplace Transform (m10170)
Maintainers: Prashant Singh, Richard Baraniuk, Mariyah Poonawala
Keywords: Inverse Laplace Transform, order, poles, singularities
Summary: This module introduces the Inverse Laplace Transform. Building on the groundwork done in the Laplace Transform module, this module gives some background into the Inverse Laplace method, and uses MATLAB's ilaplace command to find the actual solutions to a problem.
Subject: Science and Technology
Language: English
Popularity: 96.51%
Revised: 2005-06-12
Revisions: 8
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Total Modules: 21759