Class Wiki - User contributions [en]

Energy in a signal

2006-10-09T06:13:18Z

Adkich: /* Energy of a signal */

===Definition of Energy===
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,
: <math> W = \int \mathbf{F} \cdot \mathrm{d}\mathbf{s}</math>

===Energy of a signal===
From circiut analysis we know that the energy of a voltage source is,
: <math>W = {\mathbf{V}^2(t) \over R}</math>
Assuming that R is 1 then the total energy is just,
: <math>W = \int_{-\infty}^\infty |\mathbf{V}|^2(t) \mathrm{d}\mathbf{t}</math>

This page is far from complete please feel free to pick up where it has been left off.

Energy in a signal

2006-10-09T06:12:11Z

Adkich: /* Energy of a signal */

Energy in a signal

2006-10-09T06:10:55Z

Adkich: /* Energy of a signal */

===Definition of Energy===
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,
: <math> W = \int \mathbf{F} \cdot \mathrm{d}\mathbf{s}</math>

===Energy of a signal===
From circiut analysis we know that the energy of a voltage source is,
: <math>W = {\mathbf{V}^2(t) \over R}</math>
Assuming that R is 1 then the total energy is just,
<math>W = \int_{-\infty}^\infty |\mathbf{V}|^2(t) \mathrm{d}\mathbf{t}</math>

Energy in a signal

2006-10-09T06:10:10Z

Adkich: /* Energy of a signal */

===Definition of Energy===
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,
: <math> W = \int \mathbf{F} \cdot \mathrm{d}\mathbf{s}</math>

===Energy of a signal===
From circiut analysis we know that the energy of a voltage source is,
: <math>W = {V^2(t) \over R}</math>
Assuming that R is 1 then the total energy is just,
<math>W = \int_{-\infty}^\infty |\mathbf{V}|^2 \mathrm{d}\mathbf{t}</math>

Energy in a signal

2006-10-09T06:09:22Z

Adkich: /* Energy of a signal */

===Definition of Energy===
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,
: <math> W = \int \mathbf{F} \cdot \mathrm{d}\mathbf{s}</math>

===Energy of a signal===
From circiut analysis we know that the energy of a voltage source is,
: <math>W = {V^2(t) \over R}</math>
Assuming that R is 1 then the total energy is just,
<math>W = \int_\infty^{-\infty} |\mathbf{V}|^2 \mathrm{d}\mathbf{t}</math>

Energy in a signal

2006-10-09T06:09:08Z

Adkich: /* Energy of a signal */

===Definition of Energy===
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,
: <math> W = \int \mathbf{F} \cdot \mathrm{d}\mathbf{s}</math>

===Energy of a signal===
From circiut analysis we know that the energy of a voltage source is,
: <math>W = {V^2(t) \over R}</math>
Assuming that R is 1 then the total energy is just,
<math>W = \int_\infty^-\infty |\mathbf{V}|^2 \mathrm{d}\mathbf{t}</math>

Energy in a signal

2006-10-09T06:00:22Z

Adkich: /* Energy of a signal */

Energy in a signal

2006-10-09T06:00:04Z

Adkich: /* Energy of a signal */

Energy in a signal

2006-10-09T05:58:44Z

Adkich: /* Definition of Energy */

Energy in a signal

2006-10-09T05:58:34Z

Adkich: /* Definition of Energy */

Energy in a signal

2006-10-09T05:58:22Z

Adkich: /* Energy of a signal */

Energy in a signal

2006-10-09T05:56:02Z

Adkich: /* Energy of a signal */

Energy in a signal

2006-10-09T05:55:22Z

Adkich: start calculating the energy in a signal

Energy in a signal

2006-10-09T05:44:37Z

Adkich:

Signals and Systems

2006-10-09T05:44:11Z

Adkich: /* Topics */

[http://www.wwc.edu/~frohro/ClassNotes/engr455index.htm Class notes for Signals & Systems]

== Topics ==
*[[Linear Time Invarient System]]
*[[Orthogonal functions]]
*[[Energy in a signal]]
*[[Fourier series]]
*[[Fourier transform]]
*[[Sampling]]
*[[Discrete Fourier transform]]
*[[Fourier series - by Ray Betz|Signals and Systems - by Ray Betz]]
*[[FIR Filter Example]]
*[[2005-2006 Assignments]]
*[[2006-2007 Assignments]]

I couldn't figure out how to get to others Users pages easily so I decided to start posting them here, please add yours:

[[User:Frohro|Rob Frohne]]

==2004-2005 contributors==

[[User:Barnsa|Sam Barnes]]

[[User:Santsh|Shawn Santana]]

[[User:Goeari|Aric Goe]]

[[User:Caswto|Todd Caswell]]

[[User:Andeda|David Anderson]]

[[User:Guenan|Anthony Guenterberg]]

==2005-2006 contributors==

[[User:GabrielaV|Gabriela Valdivia]]

[[User:SDiver|Raymond Betz]]

[[User:chrijen|Jenni Christensen]]

[[User:wonoje|Jeffrey Wonoprabowo]]

[[User:wilspa|Paul Wilson]]

==2006-2007 contributors==

[[User:Smitry|Ryan J Smith]]

[[User:Nathan|Nathan Ferch]]

[[User:Andrew|Andrew Lopez]]

[[User:Sherna|Nathan Sherman]]

[[User:Adkich|Chris Adkins]]

Enegy in a signal

2006-10-09T05:43:47Z

Adkich: Started adding content to energy in a signal

Signals and Systems

2006-10-09T05:29:03Z

Adkich: /* Topics */

[http://www.wwc.edu/~frohro/ClassNotes/engr455index.htm Class notes for Signals & Systems]

== Topics ==
*[[Linear Time Invarient System]]
*[[Orthogonal functions]]
*[[Enegy in a signal]]
*[[Fourier series]]
*[[Fourier transform]]
*[[Sampling]]
*[[Discrete Fourier transform]]
*[[Fourier series - by Ray Betz|Signals and Systems - by Ray Betz]]
*[[FIR Filter Example]]
*[[2005-2006 Assignments]]
*[[2006-2007 Assignments]]

I couldn't figure out how to get to others Users pages easily so I decided to start posting them here, please add yours:

[[User:Frohro|Rob Frohne]]

==2004-2005 contributors==

[[User:Barnsa|Sam Barnes]]

[[User:Santsh|Shawn Santana]]

[[User:Goeari|Aric Goe]]

[[User:Caswto|Todd Caswell]]

[[User:Andeda|David Anderson]]

[[User:Guenan|Anthony Guenterberg]]

==2005-2006 contributors==

[[User:GabrielaV|Gabriela Valdivia]]

[[User:SDiver|Raymond Betz]]

[[User:chrijen|Jenni Christensen]]

[[User:wonoje|Jeffrey Wonoprabowo]]

[[User:wilspa|Paul Wilson]]

==2006-2007 contributors==

[[User:Smitry|Ryan J Smith]]

[[User:Nathan|Nathan Ferch]]

[[User:Andrew|Andrew Lopez]]

[[User:Sherna|Nathan Sherman]]

[[User:Adkich|Chris Adkins]]

Linear Time Invarient System

2006-10-04T06:00:03Z

Adkich: /* LTI systems */

==LTI systems==
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.

===LTI system properties===
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,

::<math>x_1(t)</math>
::<math>x_2(t)</math>
::<math>y_1(t) = H(x_1(t))</math>
::<math>y_2(t) = H(x_2(t))</math>
::<math>Ay_1(t) + By_2(t) = H(Ax_2(t) + Bx_1(t))</math>
for any scalar values of A and B.

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,

::<math>x(t - T)</math>
::<math>y(t - T) = H(x(t - T))</math>

Linear Time Invarient System

2006-10-04T05:59:37Z

Adkich: Started a page on LTI systems

==LTI systems==
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.

===LTI system properties===
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,

::<math>x_1(t)</math>
::<math>x_2(t)</math>
::<math>y_1(t) = H(x_1(t))</math>
::<math>y_2(t) = H(x_2(t))</math>
::<math>Ay_1(t) + By_2(t) = H(Ax_2(t) + Bx_1(t))</math>
for any scalar values of A and B.

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,

::<math>x(t - T)</math>
::<math>y(t - T) = H(x(t - T))</math>

Signals and Systems

2006-10-04T05:23:07Z

Adkich: /* Topics */

[http://www.wwc.edu/~frohro/ClassNotes/engr455index.htm Class notes for Signals & Systems]

== Topics ==
*[[Linear Time Invarient System]]
*[[Orthogonal functions]]
*[[Fourier series]]
*[[Fourier transform]]
*[[Sampling]]
*[[Discrete Fourier transform]]
*[[Fourier series - by Ray Betz|Signals and Systems - by Ray Betz]]
*[[FIR Filter Example]]
*[[2005-2006 Assignments]]
*[[2006-2007 Assignments]]

I couldn't figure out how to get to others Users pages easily so I decided to start posting them here, please add yours:

[[User:Frohro|Rob Frohne]]

==2004-2005 contributors==

[[User:Barnsa|Sam Barnes]]

[[User:Santsh|Shawn Santana]]

[[User:Goeari|Aric Goe]]

[[User:Caswto|Todd Caswell]]

[[User:Andeda|David Anderson]]

[[User:Guenan|Anthony Guenterberg]]

==2005-2006 contributors==

[[User:GabrielaV|Gabriela Valdivia]]

[[User:SDiver|Raymond Betz]]

[[User:chrijen|Jenni Christensen]]

[[User:wonoje|Jeffrey Wonoprabowo]]

[[User:wilspa|Paul Wilson]]

==2006-2007 contributors==

[[User:Smitry|Ryan J Smith]]

[[User:Nathan|Nathan Ferch]]

[[User:Andrew|Andrew Lopez]]

[[User:Sherna|Nathan Sherman]]

[[User:Adkich|Chris Adkins]]

User:Adkich

2006-10-04T03:47:27Z

Adkich: added a picture

[[Image:CAMTadams.JPG]]

File:CAMTadams.JPG

2006-10-04T03:46:47Z

Adkich: Picture of me, Chris Adkins, half way up mount adams.

Picture of me, Chris Adkins, half way up mount adams.

Signals and Systems

2006-10-04T03:21:04Z

Adkich: /* 2006-2007 contributors */

[http://www.wwc.edu/~frohro/ClassNotes/engr455index.htm Class notes for Signals & Systems]

== Topics ==
*[[Orthogonal functions]]
*[[Fourier series]]
*[[Fourier transform]]
*[[Sampling]]
*[[Discrete Fourier transform]]
*[[Fourier series - by Ray Betz|Signals and Systems - by Ray Betz]]
*[[FIR Filter Example]]
*[[2005-2006 Assignments]]
*[[2006-2007 Assignments]]

I couldn't figure out how to get to others Users pages easily so I decided to start posting them here, please add yours:

[[User:Frohro|Rob Frohne]]

==2004-2005 contributors==

[[User:Barnsa|Sam Barnes]]

[[User:Santsh|Shawn Santana]]

[[User:Goeari|Aric Goe]]

[[User:Caswto|Todd Caswell]]

[[User:Andeda|David Anderson]]

[[User:Guenan|Anthony Guenterberg]]

==2005-2006 contributors==

[[User:GabrielaV|Gabriela Valdivia]]

[[User:SDiver|Raymond Betz]]

[[User:chrijen|Jenni Christensen]]

[[User:wonoje|Jeffrey Wonoprabowo]]

[[User:wilspa|Paul Wilson]]

==2006-2007 contributors==

[[User:Smitry|Ryan J Smith]]

[[User:Nathan|Nathan Ferch]]

[[User:Andrew|Andrew Lopez]]

[[User:Sherna|Nathan Sherman]]

[[User:Adkich|Chris Adkins]]