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Matthew Hutchinson
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Signals and Systems
(col10064)
Author:
Richard Baraniuk
Maintainers:
Richard Baraniuk
,
Prashant Singh
,
Mariyah Poonawala
,
Matthew Hutchinson
,
Mark Davenport
,
Stephen Kruzick
,
Dan Calderon
,
Matthew Moravec
Institution:
Rice University
Keywords:
continuous time
,
convolution
,
discrete time
,
elec 301
,
fast fourier transform
,
FFT
,
fourier series
,
fourier transform
,
frequency domain
,
impulse response
,
labview
,
laplace transform
,
linear algebra
,
reconstruction
,
rice university
,
sampling
,
signal
,
signal processing
,
system
,
time domain
,
transform
,
z-transform
Summary:
This course deals with signals, systems, and transforms, from their theoretical mathematical foundations to practical implementation in circuits and computer algorithms. At the conclusion of ELEC 301, you should have a deep understanding of the mathematics and practical issues of signals in continuous and discrete time, linear time invariant systems, convolution, and Fourier transforms.
Subject:
Science and Technology
Language:
English
Popularity:
99.66%
Revised:
2011-10-11
Revisions:
14
Eigenvectors and Eigenvalues
(m10736)
Authors:
Michael Haag
,
Justin Romberg
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:
99.18%
Revised:
2010-07-29
Revisions:
9
Continuous Time Impulse Function
(m10059)
Authors:
Melissa Selik
,
Richard Baraniuk
Maintainers:
Melissa Selik
,
Richard Baraniuk
,
Justin Romberg
,
Ricardo Radaelli-Sanchez
,
Mariyah Poonawala
,
Prashant Singh
,
Matthew Hutchinson
,
Stephen Kruzick
,
Daniel Williamson
,
Dan Calderon
Keywords:
dirac delta function
,
impulse
,
signals
Summary:
Explains the use of the continuous time impulse function: the Dirac Delta Function.
Subject:
Science and Technology
Language:
English
Popularity:
99.10%
Revised:
2011-09-29
Revisions:
27
Properties of Continuous Time Convolution
(m10088)
Authors:
Melissa Selik
,
Richard Baraniuk
,
Stephen Kruzick
Maintainers:
Richard Baraniuk
,
Stephen Kruzick
,
Justin Romberg
,
Michael Haag
,
Matthew Hutchinson
,
Marco F. Duarte
,
Daniel Williamson
Keywords:
convolution
,
property
,
signals
,
systems
Summary:
This module discusses the properties of continuous time convolution.
Subject:
Mathematics and Statistics
Language:
English
Popularity:
98.95%
Revised:
2010-09-11
Revisions:
18
Sampling Theorem
(m10791)
Authors:
Justin Romberg
,
Stephen Kruzick
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:
98.92%
Revised:
2010-07-28
Revisions:
8
Linear Algebra: The Basics
(m10734)
Authors:
Michael Haag
,
Justin Romberg
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:
98.39%
Revised:
2010-07-29
Revisions:
7
Continuous Time Complex Exponential
(m10060)
Authors:
Richard Baraniuk
,
Stephen Kruzick
Maintainers:
Richard Baraniuk
,
Stephen Kruzick
,
Justin Romberg
,
Melissa Selik
,
Ricardo Radaelli-Sanchez
,
Mariyah Poonawala
,
Prashant Singh
,
Matthew Hutchinson
,
Daniel Williamson
,
Dan Calderon
Keywords:
complex exponential
,
complex plane
,
signals
Summary:
Describes the complex exponential function.
Subject:
Science and Technology
Language:
English
Popularity:
98.35%
Revised:
2011-09-29
Revisions:
25
Continuous Time Convolution
(m10085)
Authors:
Melissa Selik
,
Richard Baraniuk
,
Stephen Kruzick
,
Dan Calderon
Maintainers:
Melissa Selik
,
Richard Baraniuk
,
Stephen Kruzick
,
Dan Calderon
,
Ricardo Radaelli-Sanchez
,
Mariyah Poonawala
,
Prashant Singh
,
Brent Hendricks
,
Matthew Hutchinson
,
Daniel Williamson
Keywords:
continuous time
,
convolution
,
linear time invariant
,
LTI
,
signals
,
systems
Summary:
Defines convolution and derives the Convolution Integral.
Subject:
Mathematics and Statistics
Language:
English
Popularity:
98.33%
Revised:
2011-09-30
Revisions:
35
Discrete Time Circular Convolution and the DTFS
(m10786)
Author:
Justin Romberg
Maintainers:
Prashant Singh
,
Mariyah Poonawala
,
Matthew Hutchinson
,
Catherine Elder
,
Dan Calderon
Keywords:
circular
,
circular convolution
,
convolution
,
convolutions
,
convolve
,
dft
,
discrete fourier transform
,
fourier transform
,
system
Summary:
This module describes the circular convolution algorithm and an alternative algorithm
Subject:
Mathematics and Statistics
Language:
English
Popularity:
97.80%
Revised:
2013-03-27
Revisions:
16
Haar Wavelet Basis
(m10764)
Authors:
Roy Ha
,
Justin Romberg
Maintainers:
Mariyah Poonawala
,
Prashant Singh
,
Matthew Hutchinson
,
Dan Calderon
Keywords:
basis
,
expansion
,
fourier
,
fourier series
,
haar
,
haar wavelet
,
hilbert
,
hilbert spaces
,
wavelet
,
wavelets
Summary:
This module gives an overview of wavelets and their usefulness as a basis in image processing. In particular we look at the properties of the Haar wavelet basis.
Subject:
Science and Technology
Language:
English
Popularity:
97.72%
Revised:
2011-09-02
Revisions:
10
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