https://fweb.wallawalla.edu/class-wiki/api.php?action=feedcontributions&user=Adkich&feedformat=atomClass Wiki - User contributions [en]2024-03-29T09:00:26ZUser contributionsMediaWiki 1.39.1https://fweb.wallawalla.edu/class-wiki/index.php?title=Energy_in_a_signal&diff=2541Energy in a signal2006-10-09T06:13:18Z<p>Adkich: /* Energy of a signal */</p>
<hr />
<div>===Definition of Energy===<br />
Enegry is the ability or pentential for something to create change. Scientifically enegry is defined as total work done force. Work can be mathematically calculated as the line integral of force per infinatesimal unit distance,<br />
: <math> W = \int \mathbf{F} \cdot \mathrm{d}\mathbf{s}</math><br />
<br />
===Energy of a signal===<br />
From circiut analysis we know that the energy of a voltage source is,<br />
: <math>W = {\mathbf{V}^2(t) \over R}</math><br />
Assuming that R is 1 then the total energy is just,<br />
: <math>W = \int_{-\infty}^\infty |\mathbf{V}|^2(t) \mathrm{d}\mathbf{t}</math><br />
<br />
This page is far from complete please feel free to pick up where it has been left off.</div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=Energy_in_a_signal&diff=2538Energy in a signal2006-10-09T06:12:11Z<p>Adkich: /* Energy of a signal */</p>
<hr />
<div>===Definition of Energy===<br />
Enegry is the ability or pentential for something to create change. Scientifically enegry is defined as total work done force. Work can be mathematically calculated as the line integral of force per infinatesimal unit distance,<br />
: <math> W = \int \mathbf{F} \cdot \mathrm{d}\mathbf{s}</math><br />
<br />
===Energy of a signal===<br />
From circiut analysis we know that the energy of a voltage source is,<br />
: <math>W = {\mathbf{V}^2(t) \over R}</math><br />
Assuming that R is 1 then the total energy is just,<br />
: <math>W = \int_{-\infty}^\infty |\mathbf{V}|^2(t) \mathrm{d}\mathbf{t}</math></div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=Energy_in_a_signal&diff=2537Energy in a signal2006-10-09T06:10:55Z<p>Adkich: /* Energy of a signal */</p>
<hr />
<div>===Definition of Energy===<br />
Enegry is the ability or pentential for something to create change. Scientifically enegry is defined as total work done force. Work can be mathematically calculated as the line integral of force per infinatesimal unit distance,<br />
: <math> W = \int \mathbf{F} \cdot \mathrm{d}\mathbf{s}</math><br />
<br />
===Energy of a signal===<br />
From circiut analysis we know that the energy of a voltage source is,<br />
: <math>W = {\mathbf{V}^2(t) \over R}</math><br />
Assuming that R is 1 then the total energy is just,<br />
<math>W = \int_{-\infty}^\infty |\mathbf{V}|^2(t) \mathrm{d}\mathbf{t}</math></div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=Energy_in_a_signal&diff=2536Energy in a signal2006-10-09T06:10:10Z<p>Adkich: /* Energy of a signal */</p>
<hr />
<div>===Definition of Energy===<br />
Enegry is the ability or pentential for something to create change. Scientifically enegry is defined as total work done force. Work can be mathematically calculated as the line integral of force per infinatesimal unit distance,<br />
: <math> W = \int \mathbf{F} \cdot \mathrm{d}\mathbf{s}</math><br />
<br />
===Energy of a signal===<br />
From circiut analysis we know that the energy of a voltage source is,<br />
: <math>W = {V^2(t) \over R}</math><br />
Assuming that R is 1 then the total energy is just,<br />
<math>W = \int_{-\infty}^\infty |\mathbf{V}|^2 \mathrm{d}\mathbf{t}</math></div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=Energy_in_a_signal&diff=2535Energy in a signal2006-10-09T06:09:22Z<p>Adkich: /* Energy of a signal */</p>
<hr />
<div>===Definition of Energy===<br />
Enegry is the ability or pentential for something to create change. Scientifically enegry is defined as total work done force. Work can be mathematically calculated as the line integral of force per infinatesimal unit distance,<br />
: <math> W = \int \mathbf{F} \cdot \mathrm{d}\mathbf{s}</math><br />
<br />
===Energy of a signal===<br />
From circiut analysis we know that the energy of a voltage source is,<br />
: <math>W = {V^2(t) \over R}</math><br />
Assuming that R is 1 then the total energy is just,<br />
<math>W = \int_\infty^{-\infty} |\mathbf{V}|^2 \mathrm{d}\mathbf{t}</math></div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=Energy_in_a_signal&diff=2534Energy in a signal2006-10-09T06:09:08Z<p>Adkich: /* Energy of a signal */</p>
<hr />
<div>===Definition of Energy===<br />
Enegry is the ability or pentential for something to create change. Scientifically enegry is defined as total work done force. Work can be mathematically calculated as the line integral of force per infinatesimal unit distance,<br />
: <math> W = \int \mathbf{F} \cdot \mathrm{d}\mathbf{s}</math><br />
<br />
===Energy of a signal===<br />
From circiut analysis we know that the energy of a voltage source is,<br />
: <math>W = {V^2(t) \over R}</math><br />
Assuming that R is 1 then the total energy is just,<br />
<math>W = \int_\infty^-\infty |\mathbf{V}|^2 \mathrm{d}\mathbf{t}</math></div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=Energy_in_a_signal&diff=2533Energy in a signal2006-10-09T06:00:22Z<p>Adkich: /* Energy of a signal */</p>
<hr />
<div>===Definition of Energy===<br />
Enegry is the ability or pentential for something to create change. Scientifically enegry is defined as total work done force. Work can be mathematically calculated as the line integral of force per infinatesimal unit distance,<br />
: <math> W = \int \mathbf{F} \cdot \mathrm{d}\mathbf{s}</math><br />
<br />
===Energy of a signal===<br />
From circiut analysis we know that the energy of a voltage source is,<br />
: <math>W = {V^2(t) \over R}</math></div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=Energy_in_a_signal&diff=2532Energy in a signal2006-10-09T06:00:04Z<p>Adkich: /* Energy of a signal */</p>
<hr />
<div>===Definition of Energy===<br />
Enegry is the ability or pentential for something to create change. Scientifically enegry is defined as total work done force. Work can be mathematically calculated as the line integral of force per infinatesimal unit distance,<br />
: <math> W = \int \mathbf{F} \cdot \mathrm{d}\mathbf{s}</math><br />
<br />
===Energy of a signal===<br />
From circiut analysis we know that the energy of a voltage source is,<br />
: <math>W = {V(t)^2 \over R}</math></div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=Energy_in_a_signal&diff=2531Energy in a signal2006-10-09T05:58:44Z<p>Adkich: /* Definition of Energy */</p>
<hr />
<div>===Definition of Energy===<br />
Enegry is the ability or pentential for something to create change. Scientifically enegry is defined as total work done force. Work can be mathematically calculated as the line integral of force per infinatesimal unit distance,<br />
: <math> W = \int \mathbf{F} \cdot \mathrm{d}\mathbf{s}</math><br />
<br />
===Energy of a signal===<br />
From circiut analysis we know that the energy of a voltage source is,<br />
: <math>W = {V^2 \over R}</math></div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=Energy_in_a_signal&diff=2530Energy in a signal2006-10-09T05:58:34Z<p>Adkich: /* Definition of Energy */</p>
<hr />
<div>===Definition of Energy===<br />
Enegry is the ability or pentential for something to create change. Scientifically enegry is defined as total work done force. Work can be mathematically calculated as the line integral of force per infinatesimal unit distance,<br />
: <math> '''W''' = \int \mathbf{F} \cdot \mathrm{d}\mathbf{s}</math><br />
<br />
===Energy of a signal===<br />
From circiut analysis we know that the energy of a voltage source is,<br />
: <math>W = {V^2 \over R}</math></div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=Energy_in_a_signal&diff=2529Energy in a signal2006-10-09T05:58:22Z<p>Adkich: /* Energy of a signal */</p>
<hr />
<div>===Definition of Energy===<br />
Enegry is the ability or pentential for something to create change. Scientifically enegry is defined as total work done force. Work can be mathematically calculated as the line integral of force per infinatesimal unit distance,<br />
: <math> ''W'' = \int \mathbf{F} \cdot \mathrm{d}\mathbf{s}</math><br />
<br />
===Energy of a signal===<br />
From circiut analysis we know that the energy of a voltage source is,<br />
: <math>W = {V^2 \over R}</math></div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=Energy_in_a_signal&diff=2528Energy in a signal2006-10-09T05:56:02Z<p>Adkich: /* Energy of a signal */</p>
<hr />
<div>===Definition of Energy===<br />
Enegry is the ability or pentential for something to create change. Scientifically enegry is defined as total work done force. Work can be mathematically calculated as the line integral of force per infinatesimal unit distance,<br />
: <math> ''W'' = \int \mathbf{F} \cdot \mathrm{d}\mathbf{s}</math><br />
<br />
===Energy of a signal===<br />
From circiut analysis we know that the energy of a voltage source is,<br />
: <math>W = {V<sup>2</sup> \over R}</math></div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=Energy_in_a_signal&diff=2527Energy in a signal2006-10-09T05:55:22Z<p>Adkich: start calculating the energy in a signal</p>
<hr />
<div>===Definition of Energy===<br />
Enegry is the ability or pentential for something to create change. Scientifically enegry is defined as total work done force. Work can be mathematically calculated as the line integral of force per infinatesimal unit distance,<br />
: <math> ''W'' = \int \mathbf{F} \cdot \mathrm{d}\mathbf{s}</math><br />
<br />
===Energy of a signal===<br />
From circiut analysis we know that the energy of a voltage source is,<br />
: <math>''W'' = ''V''<sup>2</sup> \over ''R''</math></div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=Energy_in_a_signal&diff=2526Energy in a signal2006-10-09T05:44:37Z<p>Adkich: </p>
<hr />
<div>===Definition of Energy===<br />
Enegry is the ability or pentential for something to create change. Scientifically enegry is defined as total work done force. Work can be mathematically calculated as the line integral of force distance,<br />
: <math> W = \int \mathbf{F} \cdot \mathrm{d}\mathbf{s}</math></div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=2542Signals and Systems2006-10-09T05:44:11Z<p>Adkich: /* Topics */</p>
<hr />
<div>[http://www.wwc.edu/~frohro/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
== Topics ==<br />
*[[Linear Time Invarient System]]<br />
*[[Orthogonal functions]]<br />
*[[Energy in a signal]]<br />
*[[Fourier series]]<br />
*[[Fourier transform]]<br />
*[[Sampling]]<br />
*[[Discrete Fourier transform]]<br />
*[[Fourier series - by Ray Betz|Signals and Systems - by Ray Betz]]<br />
*[[FIR Filter Example]]<br />
*[[2005-2006 Assignments]]<br />
*[[2006-2007 Assignments]]<br />
<br />
<br />
I couldn't figure out how to get to others Users pages easily so I decided to start posting them here, please add yours:<br />
<br />
[[User:Frohro|Rob Frohne]]<br />
<br />
==2004-2005 contributors==<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]<br />
<br />
==2005-2006 contributors==<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
==2006-2007 contributors==<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]</div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=Enegy_in_a_signal&diff=4099Enegy in a signal2006-10-09T05:43:47Z<p>Adkich: Started adding content to energy in a signal</p>
<hr />
<div>===Definition of Energy===<br />
Enegry is the ability or pentential for something to create change. Scientifically enegry is defined as total work done force. Work can be mathematically calculated as the line integral of force distance,<br />
: <math> W = \int \mathbf{F} \cdot \mathrm{d}\mathbf{s}</math></div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=2525Signals and Systems2006-10-09T05:29:03Z<p>Adkich: /* Topics */</p>
<hr />
<div>[http://www.wwc.edu/~frohro/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
== Topics ==<br />
*[[Linear Time Invarient System]]<br />
*[[Orthogonal functions]]<br />
*[[Enegy in a signal]]<br />
*[[Fourier series]]<br />
*[[Fourier transform]]<br />
*[[Sampling]]<br />
*[[Discrete Fourier transform]]<br />
*[[Fourier series - by Ray Betz|Signals and Systems - by Ray Betz]]<br />
*[[FIR Filter Example]]<br />
*[[2005-2006 Assignments]]<br />
*[[2006-2007 Assignments]]<br />
<br />
<br />
I couldn't figure out how to get to others Users pages easily so I decided to start posting them here, please add yours:<br />
<br />
[[User:Frohro|Rob Frohne]]<br />
<br />
==2004-2005 contributors==<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]<br />
<br />
==2005-2006 contributors==<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
==2006-2007 contributors==<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]</div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=Linear_Time_Invarient_System&diff=2499Linear Time Invarient System2006-10-04T06:00:03Z<p>Adkich: /* LTI systems */</p>
<hr />
<div>==LTI systems==<br />
LTI System theory is a powerful and widely used concept in electrical engineering. It has applictions in circuit anlysis, control theory , and our main topic of interest signal processing.<br />
<br />
===LTI system properties===<br />
A system is considered to be a Linear Time Invarient when it satifies the two basic criteria implied in its name, one it must be linear and two it must be time invarient. A Linear system is charterized by two propeties superposition and scaling. The superpostion principal says that for any linear system a linear combination of solutions to the system is also a solution to the same linear system. The principal of scaling implies that if you adjust you scale you input by N amount your output will also be adjusted by N amount. An example of a Linear system then would be,<br />
<br />
::<math>x_1(t)</math><br />
::<math>x_2(t)</math><br />
::<math>y_1(t) = H(x_1(t))</math><br />
::<math>y_2(t) = H(x_2(t))</math><br />
::<math>Ay_1(t) + By_2(t) = H(Ax_2(t) + Bx_1(t))</math><br />
for any scalar values of A and B.<br />
<br />
Time invarience of a system means that for adjust any input <math>x(t)</math> by some amout of time T the out put will also be adjusted by that amount of time. This impies that for,<br />
<br />
::<math>x(t - T)</math><br />
::<math>y(t - T) = H(x(t - T))</math></div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=Linear_Time_Invarient_System&diff=2496Linear Time Invarient System2006-10-04T05:59:37Z<p>Adkich: Started a page on LTI systems</p>
<hr />
<div>==LTI systems==<br />
LTI System theory is a powerful and widely used concept in electrical engineering. It has applictions in circuit anlysis, control theory , and our main topic of intrest signal processing.<br />
<br />
===LTI system properties===<br />
A system is considered to be a Linear Time Invarient when it satifies the two basic criteria implied in its name, one it must be linear and two it must be time invarient. A Linear system is charterized by two propeties superposition and scaling. The superpostion principal says that for any linear system a linear combination of solutions to the system is also a solution to the same linear system. The principal of scaling implies that if you adjust you scale you input by N amount your output will also be adjusted by N amount. An example of a Linear system then would be,<br />
<br />
::<math>x_1(t)</math><br />
::<math>x_2(t)</math><br />
::<math>y_1(t) = H(x_1(t))</math><br />
::<math>y_2(t) = H(x_2(t))</math><br />
::<math>Ay_1(t) + By_2(t) = H(Ax_2(t) + Bx_1(t))</math><br />
for any scalar values of A and B.<br />
<br />
Time invarience of a system means that for adjust any input <math>x(t)</math> by some amout of time T the out put will also be adjusted by that amount of time. This impies that for,<br />
<br />
::<math>x(t - T)</math><br />
::<math>y(t - T) = H(x(t - T))</math></div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=2524Signals and Systems2006-10-04T05:23:07Z<p>Adkich: /* Topics */</p>
<hr />
<div>[http://www.wwc.edu/~frohro/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
== Topics ==<br />
*[[Linear Time Invarient System]]<br />
*[[Orthogonal functions]]<br />
*[[Fourier series]]<br />
*[[Fourier transform]]<br />
*[[Sampling]]<br />
*[[Discrete Fourier transform]]<br />
*[[Fourier series - by Ray Betz|Signals and Systems - by Ray Betz]]<br />
*[[FIR Filter Example]]<br />
*[[2005-2006 Assignments]]<br />
*[[2006-2007 Assignments]]<br />
<br />
<br />
I couldn't figure out how to get to others Users pages easily so I decided to start posting them here, please add yours:<br />
<br />
[[User:Frohro|Rob Frohne]]<br />
<br />
==2004-2005 contributors==<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]<br />
<br />
==2005-2006 contributors==<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
==2006-2007 contributors==<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]</div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=User:Adkich&diff=2480User:Adkich2006-10-04T03:47:27Z<p>Adkich: added a picture</p>
<hr />
<div>[[Image:CAMTadams.JPG]]</div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=File:CAMTadams.JPG&diff=4095File:CAMTadams.JPG2006-10-04T03:46:47Z<p>Adkich: Picture of me, Chris Adkins, half way up mount adams. </p>
<hr />
<div>Picture of me, Chris Adkins, half way up mount adams.</div>Adkichhttps://fweb.wallawalla.edu/class-wiki/index.php?title=Signals_and_Systems&diff=2491Signals and Systems2006-10-04T03:21:04Z<p>Adkich: /* 2006-2007 contributors */</p>
<hr />
<div>[http://www.wwc.edu/~frohro/ClassNotes/engr455index.htm Class notes for Signals & Systems]<br />
<br />
== Topics ==<br />
*[[Orthogonal functions]]<br />
*[[Fourier series]]<br />
*[[Fourier transform]]<br />
*[[Sampling]]<br />
*[[Discrete Fourier transform]]<br />
*[[Fourier series - by Ray Betz|Signals and Systems - by Ray Betz]]<br />
*[[FIR Filter Example]]<br />
*[[2005-2006 Assignments]]<br />
*[[2006-2007 Assignments]]<br />
<br />
<br />
I couldn't figure out how to get to others Users pages easily so I decided to start posting them here, please add yours:<br />
<br />
[[User:Frohro|Rob Frohne]]<br />
<br />
==2004-2005 contributors==<br />
<br />
[[User:Barnsa|Sam Barnes]]<br />
<br />
[[User:Santsh|Shawn Santana]]<br />
<br />
[[User:Goeari|Aric Goe]]<br />
<br />
[[User:Caswto|Todd Caswell]]<br />
<br />
[[User:Andeda|David Anderson]]<br />
<br />
[[User:Guenan|Anthony Guenterberg]]<br />
<br />
==2005-2006 contributors==<br />
<br />
[[User:GabrielaV|Gabriela Valdivia]]<br />
<br />
[[User:SDiver|Raymond Betz]]<br />
<br />
[[User:chrijen|Jenni Christensen]]<br />
<br />
[[User:wonoje|Jeffrey Wonoprabowo]]<br />
<br />
[[User:wilspa|Paul Wilson]]<br />
<br />
==2006-2007 contributors==<br />
<br />
[[User:Smitry|Ryan J Smith]]<br />
<br />
[[User:Nathan|Nathan Ferch]]<br />
<br />
[[User:Andrew|Andrew Lopez]]<br />
<br />
[[User:Sherna|Nathan Sherman]]<br />
<br />
[[User:Adkich|Chris Adkins]]</div>Adkich