Signals and Systems - Revision history

Frohro: /* Books on Signal Processing */

2019-10-28T00:35:35Z

Books on Signal Processing

← Older revision		Revision as of 17:35, 27 October 2019
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	*[http://www.dspguide.com/ The Scientist and Engineer's Guide to Digital Signal Processing by Steven W. Smith, Ph.D.] The professor likes this one.		*[http://www.dspguide.com/ The Scientist and Engineer's Guide to Digital Signal Processing by Steven W. Smith, Ph.D.] The professor likes this one.
	*[http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-003-signals-and-systems-spring-2010/readings/ Discrete Time Signals & Systems]		*[http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-003-signals-and-systems-spring-2010/readings/ Discrete Time Signals & Systems]
	*[http://~~www~~.~~dii~~.~~unipd~~.it/~~-renato~~.~~gobbo/download/brigham/~~ The Fast Fourier Transform by E. O. Brigham] This was one of the professor's textbooks when he took this class.		*[http://sar.kangwon.ac.kr/gisg/FFT_book.pdf The Fast Fourier Transform by E. O. Brigham] This was one of the professor's textbooks when he took this class.
	*[http://faculty.uml.edu/cbyrne/SP1text.pdf Mathematics of Signal Processing: A First Course, by Charles L. Byrne] Good chapters on Computer Aided Tomography (CAT Scan) as well as a lot of other interesting things.		*[http://faculty.uml.edu/cbyrne/SP1text.pdf Mathematics of Signal Processing: A First Course, by Charles L. Byrne] Good chapters on Computer Aided Tomography (CAT Scan) as well as a lot of other interesting things.
	*[http://www.orchardpublications.com/9781934404232ex.pdf Signals & Systems, with MATLAB/Simulink, Karris]		*[http://www.orchardpublications.com/9781934404232ex.pdf Signals & Systems, with MATLAB/Simulink, Karris]

Frohro: /* Math Editors for Your Notebook */

2019-09-23T16:29:39Z

Math Editors for Your Notebook

← Older revision		Revision as of 09:29, 23 September 2019
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	===Math Editors for Your Notebook===		===Math Editors for Your Notebook===
	You can make your notebook here on the wiki, but there are other options, including things like writing you notes on paper and using photo processing software to make notes like the [http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm old class notes]. You can also make screencasts or videos for your notebook.		You can make your notebook here on the wiki, but there are other options, including things like writing you notes on paper and using photo processing software to make notes like the [http://people.wallawalla.edu/~Rob.Frohne/ClassNotes/engr455index.htm old class notes]. You can also make screencasts or videos for your notebook.
			*[https://jupyterlab.readthedocs.io/en/stable/ JupyterLab:] This is my current favorite for making notebooks with a "literate programming" approach. It allows you to mix prose and other things with your equations in LaTex or python or octave code that illustrate the concepts.
	*LaTex: I suggest opening opening the following [http://www.math.duke.edu/computing/tex/templates/samplefile.tex sample file] with any of the LaTex editors below. LaTex is a document processing language that you compile like C or other compiled languages. It does produce the nicest looking documents, but it takes a bit of expertise to do that. If you are bound for graduate school, it is well worth learning.		*LaTex: I suggest opening opening the following [http://www.math.duke.edu/computing/tex/templates/samplefile.tex sample file] with any of the LaTex editors below. LaTex is a document processing language that you compile like C or other compiled languages. It does produce the nicest looking documents, but it takes a bit of expertise to do that. If you are bound for graduate school, it is well worth learning.
	**[http://www.texstudio.org/ TexStudio] works with Windows, Linux, and OS X, has a previewer, menus to help newbies, and is about the most featured LaTex editor I have tried.		**[http://www.texstudio.org/ TexStudio] works with Windows, Linux, and OS X, has a previewer, menus to help newbies, and is about the most featured LaTex editor I have tried.

Frohro: /* Books on Signal Processing */

2017-11-17T20:25:55Z

Books on Signal Processing

← Older revision		Revision as of 13:25, 17 November 2017
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	*[http://www.dspguide.com/ The Scientist and Engineer's Guide to Digital Signal Processing by Steven W. Smith, Ph.D.] The professor likes this one.		*[http://www.dspguide.com/ The Scientist and Engineer's Guide to Digital Signal Processing by Steven W. Smith, Ph.D.] The professor likes this one.
	*[http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-003-signals-and-systems-spring-2010/readings/ Discrete Time Signals & Systems]		*[http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-003-signals-and-systems-spring-2010/readings/ Discrete Time Signals & Systems]
	*[http://www.dii.unipd.it/-renato.gobbo/download/brigham/~~FFT&applications_1-4.pdf~~ The Fast Fourier Transform by E. O. Brigham] This was one of the professor's textbooks when he took this class.		*[http://www.dii.unipd.it/-renato.gobbo/download/brigham/ The Fast Fourier Transform by E. O. Brigham] This was one of the professor's textbooks when he took this class.
	*[http://faculty.uml.edu/cbyrne/SP1text.pdf Mathematics of Signal Processing: A First Course, by Charles L. Byrne] Good chapters on Computer Aided Tomography (CAT Scan) as well as a lot of other interesting things.		*[http://faculty.uml.edu/cbyrne/SP1text.pdf Mathematics of Signal Processing: A First Course, by Charles L. Byrne] Good chapters on Computer Aided Tomography (CAT Scan) as well as a lot of other interesting things.
	*[http://www.orchardpublications.com/9781934404232ex.pdf Signals & Systems, with MATLAB/Simulink, Karris]		*[http://www.orchardpublications.com/9781934404232ex.pdf Signals & Systems, with MATLAB/Simulink, Karris]

Frohro: /* Books on Signal Processing */

2017-11-16T22:16:00Z

Books on Signal Processing

← Older revision		Revision as of 15:16, 16 November 2017
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	*[http://www.dspguide.com/ The Scientist and Engineer's Guide to Digital Signal Processing by Steven W. Smith, Ph.D.] The professor likes this one.		*[http://www.dspguide.com/ The Scientist and Engineer's Guide to Digital Signal Processing by Steven W. Smith, Ph.D.] The professor likes this one.
	*[http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-003-signals-and-systems-spring-2010/readings/ Discrete Time Signals & Systems]		*[http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-003-signals-and-systems-spring-2010/readings/ Discrete Time Signals & Systems]
	*[http://www.~~ingelec~~.~~uns~~.~~edu~~.~~ar/pds2803/Materiales~~/~~LibrosPDF~~/~~Brigham~~/~~TOC~~.~~htm~~ The Fast Fourier Transform by E. O. Brigham] This was one of the professor's textbooks when he took this class.		*[http://www.dii.unipd.it/-renato.gobbo/download/brigham/FFT&applications_1-4.pdf The Fast Fourier Transform by E. O. Brigham] This was one of the professor's textbooks when he took this class.
	*[http://faculty.uml.edu/cbyrne/SP1text.pdf Mathematics of Signal Processing: A First Course, by Charles L. Byrne] Good chapters on Computer Aided Tomography (CAT Scan) as well as a lot of other interesting things.		*[http://faculty.uml.edu/cbyrne/SP1text.pdf Mathematics of Signal Processing: A First Course, by Charles L. Byrne] Good chapters on Computer Aided Tomography (CAT Scan) as well as a lot of other interesting things.
	*[http://www.orchardpublications.com/9781934404232ex.pdf Signals & Systems, with MATLAB/Simulink, Karris]		*[http://www.orchardpublications.com/9781934404232ex.pdf Signals & Systems, with MATLAB/Simulink, Karris]

Frohro: /* FIR Filters */

2017-11-13T21:43:04Z

FIR Filters

← Older revision		Revision as of 14:43, 13 November 2017
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	*[http://eeweb.poly.edu/iselesni/EL713/remez/ A nice detailed description of the Parks McClellan algorithm with MATLAB/octave code.]		*[http://eeweb.poly.edu/iselesni/EL713/remez/ A nice detailed description of the Parks McClellan algorithm with MATLAB/octave code.]
	*[https://www.youtube.com/watch?v=bmOvHjSBlnc This is a nice demo of using a head related impulse response and FIR filters to give sound a nice 3D effect.]		*[https://www.youtube.com/watch?v=bmOvHjSBlnc This is a nice demo of using a head related impulse response and FIR filters to give sound a nice 3D effect.]
			*[http://recherche.ircam.fr/equipes/salles/listen/index.html Listen Head Related Transfer Function (HRTF) Database]
			**[http://recherche.ircam.fr/equipes/salles/listen/sounds.html Selection of binaural sounds processed through different head related transfer functions.] You can pick the HRTF that is closest to your own here.

	===Adaptive FIR Filters===		===Adaptive FIR Filters===

Frohro: /* FIR Filters */

2017-11-13T15:20:17Z

FIR Filters

← Older revision		Revision as of 08:20, 13 November 2017
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	*The truncated Fourier series or DFT method of FIR filter design gives the best approximation of the desired frequency response in a least squared error sense, but it is not very good near discontinuities. [http://itee.uq.edu.au/~elec4600/elec4600_lectures/1perpage/lectremez.pdf The Parks-McClellan] (Remez) iterative algorithm gives equal ripple in the pass band and stop band. This is the best in terms of minimizing the maximum error in each area, which is usually better in the real world. MATLAB/octave have automated functions to do that. See [http://octave.sourceforge.net/signal/function/remez.html remez() in the Signals package of octave.]		*The truncated Fourier series or DFT method of FIR filter design gives the best approximation of the desired frequency response in a least squared error sense, but it is not very good near discontinuities. [http://itee.uq.edu.au/~elec4600/elec4600_lectures/1perpage/lectremez.pdf The Parks-McClellan] (Remez) iterative algorithm gives equal ripple in the pass band and stop band. This is the best in terms of minimizing the maximum error in each area, which is usually better in the real world. MATLAB/octave have automated functions to do that. See [http://octave.sourceforge.net/signal/function/remez.html remez() in the Signals package of octave.]
	*[http://eeweb.poly.edu/iselesni/EL713/remez/ A nice detailed description of the Parks McClellan algorithm with MATLAB/octave code.]		*[http://eeweb.poly.edu/iselesni/EL713/remez/ A nice detailed description of the Parks McClellan algorithm with MATLAB/octave code.]
	*[https://www.youtube.com/watch?v=bmOvHjSBlnc This is a nice demo of using head related impulse response and FIR filters to give sound a nice 3D effect.]		*[https://www.youtube.com/watch?v=bmOvHjSBlnc This is a nice demo of using a head related impulse response and FIR filters to give sound a nice 3D effect.]

	===Adaptive FIR Filters===		===Adaptive FIR Filters===

Frohro: /* FIR Filters */

2017-11-13T15:19:40Z

FIR Filters

← Older revision		Revision as of 08:19, 13 November 2017
Line 54:		Line 54:
	*The truncated Fourier series or DFT method of FIR filter design gives the best approximation of the desired frequency response in a least squared error sense, but it is not very good near discontinuities. [http://itee.uq.edu.au/~elec4600/elec4600_lectures/1perpage/lectremez.pdf The Parks-McClellan] (Remez) iterative algorithm gives equal ripple in the pass band and stop band. This is the best in terms of minimizing the maximum error in each area, which is usually better in the real world. MATLAB/octave have automated functions to do that. See [http://octave.sourceforge.net/signal/function/remez.html remez() in the Signals package of octave.]		*The truncated Fourier series or DFT method of FIR filter design gives the best approximation of the desired frequency response in a least squared error sense, but it is not very good near discontinuities. [http://itee.uq.edu.au/~elec4600/elec4600_lectures/1perpage/lectremez.pdf The Parks-McClellan] (Remez) iterative algorithm gives equal ripple in the pass band and stop band. This is the best in terms of minimizing the maximum error in each area, which is usually better in the real world. MATLAB/octave have automated functions to do that. See [http://octave.sourceforge.net/signal/function/remez.html remez() in the Signals package of octave.]
	*[http://eeweb.poly.edu/iselesni/EL713/remez/ A nice detailed description of the Parks McClellan algorithm with MATLAB/octave code.]		*[http://eeweb.poly.edu/iselesni/EL713/remez/ A nice detailed description of the Parks McClellan algorithm with MATLAB/octave code.]
			*[https://www.youtube.com/watch?v=bmOvHjSBlnc This is a nice demo of using head related impulse response and FIR filters to give sound a nice 3D effect.]

	===Adaptive FIR Filters===		===Adaptive FIR Filters===

Frohro: /* Octave Scripts for Learning */

2017-11-10T04:56:32Z

Octave Scripts for Learning

← Older revision		Revision as of 21:56, 9 November 2017
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	An [[FIR Filter Example Code for Octave]]/MATLAB		An [[FIR Filter Example Code for Octave]]/MATLAB

			[[Demonstration of an Oversampling FIR Filter]]

	[[FIR Filter Design and Testing Using the DFT]]		[[FIR Filter Design and Testing Using the DFT]]

Frohro: /* Octave Tutorials and Scripts for Learning */

2016-11-03T03:44:20Z

Octave Tutorials and Scripts for Learning

← Older revision		Revision as of 20:44, 2 November 2016
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	[[An octave/MATLAB u(t) function example]]		[[An octave/MATLAB u(t) function example]]

	[[An octave/MATLAB RC circuit example with Fourier series]] that shows how to use the ideas of the linear time invariant systems game and phasors to find the output due to a square wave input.		[[An octave/MATLAB RC circuit example with Fourier series]] that shows how to use the ideas of the linear time invariant systems game and phasors to find the output due to a square wave input

	[[An octave/MATLAB script to show the relation]] <math>\int_{-\infty}^\infty e^{j2\pi ft} df = \delta(t)</math>.		[[An octave/MATLAB script to show the relation]]: <math>\int_{-\infty}^\infty e^{j2\pi ft} df = \delta(t)</math>

	[[An octave/MATLAB script to show the Fourier series of a string of impulse functions]] is given by: <math>\sum_{k=-\infty}^\infty \delta(t-kT) = \sum_{k=-\infty}^\infty e^{-j2\pi kt/T}</math>.		[[An octave/MATLAB script to show the Fourier series of a string of impulse functions]] is given by: <math>\sum_{k=-\infty}^\infty \delta(t-kT) = \sum_{k=-\infty}^\infty e^{-j2\pi kt/T}</math>

	[[This octave/MATLAB script shows the effect of not sampling fast enough.]] You can also see how the bandpass sampling theorem works from the plot this produces if you are clever.		[[This octave/MATLAB script shows the effect of not sampling fast enough.]] You can also see how the bandpass sampling theorem works from the plot this produces if you are clever.

	[[A octave/MATLAB script to show how Nyquist's formula]] for <math>x(t)</math> in terms of sample points <math>x(nT)</math>.		[[A octave/MATLAB script to show how Nyquist's formula]] for <math>x(t)</math> in terms of sample points <math>x(nT)</math>

	[[FIR Filter Example Code for Octave]]		An [[FIR Filter Example Code for Octave]]/MATLAB

	[[FIR Filter Design and Testing Using the DFT]]		[[FIR Filter Design and Testing Using the DFT]]
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	[[Interpolation using the DFT Example Script]]		[[Interpolation using the DFT Example Script]]

	[[An example showing how convolution is just a dot product]]		[[An example showing how convolution is just a dot product]] or matrix multiply

	[[Tuner Upper Removal Demonstration]]		[[Tuner Upper Removal Demonstration]]

Frohro: /* Octave Tutorials and Functions for Learning */

2016-11-03T03:13:20Z

Octave Tutorials and Functions for Learning

← Older revision		Revision as of 20:13, 2 November 2016
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	==Articles==		==Articles==

	===Octave Tutorials and ~~Functions~~ for Learning===		===Octave Tutorials and Scripts for Learning===
	====Octave Scripts for Learning====		====Octave Scripts for Learning====

	[[A u(t) function example]]		[[An octave/MATLAB u(t) function example]]

	[[An octave/MATLAB script to show the relation]] <math>\int_{-\infty}^\infty e^{j2\pi ft} df = \delta(t)</math>		[[An octave/MATLAB RC circuit example with Fourier series]] that shows how to use the ideas of the linear time invariant systems game and phasors to find the output due to a square wave input.

			[[An octave/MATLAB script to show the relation]] <math>\int_{-\infty}^\infty e^{j2\pi ft} df = \delta(t)</math>.

	[[An octave/MATLAB script to show the Fourier series of a string of impulse functions]] is given by: <math>\sum_{k=-\infty}^\infty \delta(t-kT) = \sum_{k=-\infty}^\infty e^{-j2\pi kt/T}</math>.		[[An octave/MATLAB script to show the Fourier series of a string of impulse functions]] is given by: <math>\sum_{k=-\infty}^\infty \delta(t-kT) = \sum_{k=-\infty}^\infty e^{-j2\pi kt/T}</math>.