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- 09:13, 1 December 2008 (diff | hist) . . (+1,138) . . N Justin Kietzman: HW 11 ECE301Fall2008mboutin (New page: ===Region of Convergence (RoC) Properties=== 1.) The RoC of a Z transform consists of rings (or washers) centered about the origin in the z-plane. 2.) If X(z) is rational, aka <math> X(z...) (current)
- 08:55, 1 December 2008 (diff | hist) . . (+51) . . Homework 11 ECE301Fall2008mboutin
- 13:48, 23 November 2008 (diff | hist) . . (+38) . . HW10 Justin Kietzman- Properties of Laplace ECE301Fall2008mboutin (current)
- 13:46, 23 November 2008 (diff | hist) . . (+241) . . HW10 Justin Kietzman- Properties of Laplace ECE301Fall2008mboutin (→Time Shifting)
- 13:33, 23 November 2008 (diff | hist) . . (+113) . . N HW10 Justin Kietzman- Properties of Laplace ECE301Fall2008mboutin (New page: ===Properties of Laplace Transform=== ==Time Shifting== <math> X(t-t0) -> e^{-st_{0})X(s) <\math>, RoC unchanged)
- 13:31, 23 November 2008 (diff | hist) . . (+23) . . Homework 10 ECE301Fall2008mboutin
- 13:29, 23 November 2008 (diff | hist) . . (+49) . . Homework 10 ECE301Fall2008mboutin
- 09:59, 17 November 2008 (diff | hist) . . (+927) . . N Justin Kietzman ECE301Fall2008mboutin (New page: ===Laplace Transforms=== The basic formula is: <math>L(x(t)) = \int_{-\infty}^{\infty}x(t)e^{-st}dt </math> As you can see, this is very similar to the Fourier Transform. In fact, the Fo...) (current)
- 09:49, 17 November 2008 (diff | hist) . . (+44) . . Homework 9 ECE301Fall2008mboutin
- 13:36, 9 November 2008 (diff | hist) . . (+133) . . Justin Kietzman: Zero Order Hold Sampling ECE301Fall2008mboutin (→Definition) (current)
- 13:28, 9 November 2008 (diff | hist) . . (+320) . . N Justin Kietzman: Zero Order Hold Sampling ECE301Fall2008mboutin (New page: ==Definition== Zero-Order Hold Sampling - The samples of a function are represented by piecewise constant function. In other words, the samples are represented by unit-step function...)
- 12:46, 9 November 2008 (diff | hist) . . (+70) . . Homework 8 ECE301Fall2008mboutin
- 09:42, 23 October 2008 (diff | hist) . . (+787) . . Justin Kietzman - Time Shifting property of F.T and you ECE301Fall2008mboutin (→Time Shifting Propery) (current)
- 09:25, 23 October 2008 (diff | hist) . . (+531) . . Justin Kietzman - Time Shifting property of F.T and you ECE301Fall2008mboutin (→Time Shifting Propery)
- 09:11, 23 October 2008 (diff | hist) . . (-2) . . Justin Kietzman - Time Shifting property of F.T and you ECE301Fall2008mboutin (→Time Shifting Propery)
- 09:09, 23 October 2008 (diff | hist) . . (+90) . . N Justin Kietzman - Time Shifting property of F.T and you ECE301Fall2008mboutin (New page: ===Time Shifting Propery=== In CT, : <b><math> F(x(t-t_0)) = exp(-jwt_0)X(w) </math></b>)
- 09:05, 23 October 2008 (diff | hist) . . (+84) . . Homework 7 ECE301Fall2008mboutin
- 13:58, 15 October 2008 (diff | hist) . . (+409) . . HW6.3 Justin Kietzman ECE301Fall2008mboutin (→Solution) (current)
- 13:52, 15 October 2008 (diff | hist) . . (+155) . . N HW6.3 Justin Kietzman ECE301Fall2008mboutin (New page: ==Question== Is the signal <math>x(t) = \sum_{k = -\infty}^\infty \frac{1}{(t+2k)^{2}+1}</math> periodic? Prove your answer mathematically. ==Solution==)
- 13:47, 15 October 2008 (diff | hist) . . (+50) . . Homework 6 ECE301Fall2008mboutin (→Test Answers/Corrections)
- 13:47, 15 October 2008 (diff | hist) . . (+45) . . N CT Duality Property ECE301Fall2008mboutin (New page: :<math> F(x(t)) = X(w) = 2\pi x(-w) \!</math>) (current)
- 13:47, 15 October 2008 (diff | hist) . . (+19) . . Table of Formulas and Properties ECE301Fall2008mboutin (→CT Fourier Transform Properties)
- 13:45, 15 October 2008 (diff | hist) . . (+99) . . Table of Formulas and Properties ECE301Fall2008mboutin (→CT Fourier Transform Properties)
- 09:37, 25 September 2008 (diff | hist) . . (+50) . . HW4.5 Justin Kietzman ECE301Fall2008mboutin (→Signal) (current)
- 09:29, 25 September 2008 (diff | hist) . . (+163) . . N HW4.5 Justin Kietzman ECE301Fall2008mboutin (New page: ===Signal=== 1. x(t) is real and odd. 2. x(t) is periodic in CT with T = 4 3. <math> a_0 = 6 </math> ===Answer=== <math> x(t) = 6sin(\frac{\pi}{2}t) </math>)
- 08:43, 25 September 2008 (diff | hist) . . (+427) . . HW4.3 Justin Kietzman ECE301Fall2008mboutin (→Response to a signal) (current)
- 08:34, 25 September 2008 (diff | hist) . . (+28) . . HW4.3 Justin Kietzman ECE301Fall2008mboutin (→System Function)
- 08:34, 25 September 2008 (diff | hist) . . (+516) . . N HW4.3 Justin Kietzman ECE301Fall2008mboutin (New page: ===System=== y(t) = 5x(t) ===Unit Impulse Response=== <math>x(t) = \delta(t)</math> <math>h(t) = 5\delta(t)</math> ===System Function=== :<math>y(t) = \int^{\infty}_{-\infty} h(\tau) * ...)
- 08:10, 25 September 2008 (diff | hist) . . (+36) . . HW4.1 Justin Kietzman ECE301Fall2008mboutin (→Solution)
- 08:07, 25 September 2008 (diff | hist) . . (+62) . . HW4.1 Justin Kietzman ECE301Fall2008mboutin (→Solution)
- 08:05, 25 September 2008 (diff | hist) . . (+480) . . N HW4.1 Justin Kietzman ECE301Fall2008mboutin (New page: ===Useful Info=== <math>x(t)=\sum_{k=-\infty}^{\infty}a_ke^{jk\omega_0t}</math> <math>a_k=\frac{1}{T}\int_0^Tx(t)e^{-jk\omega_0t}dt</math>. :Let :<math> x(t) = 2sin(2\pi t) + cos(\pi t)....)
- 07:25, 25 September 2008 (diff | hist) . . (+50) . . Homework 4 ECE301Fall2008mboutin (→Guess the Periodic Signal)
- 07:24, 25 September 2008 (diff | hist) . . (+50) . . Homework 4 ECE301Fall2008mboutin (→Define a CT, LTI System)
- 07:24, 25 September 2008 (diff | hist) . . (+50) . . Homework 4 ECE301Fall2008mboutin (→Periodic CT Signal, Fourier Series Coefficients)
- 08:49, 18 September 2008 (diff | hist) . . (+200) . . N Talk:HW3.B Paul Scheffler ECE301Fall2008mboutin (New page: The method and answer are there, but the lack of latex makes it a little bit harder to follow. I would recommend next time using the latex function to help get your thoughts across. --Jus...) (current)
- 08:47, 18 September 2008 (diff | hist) . . (+1,431) . . HW3.C Justin Kietzman ECE301Fall2008mboutin (current)
- 08:25, 18 September 2008 (diff | hist) . . (+149) . . N HW3.C Justin Kietzman ECE301Fall2008mboutin (New page: ==Application of Linearity== ===Part 1=== All Bob needs to do is multiply the secret message by the inverse of the 3x3 secret matrix. ===Part 2===)
- 08:18, 18 September 2008 (diff | hist) . . (+506) . . N HW3.B Justin Kietzman ECE301Fall2008mboutin (New page: ==The Basics of Linearity== If <math> e^{2jt} ==> te^{-2jt} </math> and <math> e^{-2jt} ==> te^{2jt} </math> :What is the response to to cos(2t)? ===Solution=== For any Linear system:...) (current)
- 07:57, 18 September 2008 (diff | hist) . . (+125) . . N Talk:HW3.A Paul Scheffler - Memoryless Systems ECE301Fall2008mboutin (New page: The explanation is short and to the point. A proof on the example may be a little more effective however. --Justin Kietzman)
- 07:55, 18 September 2008 (diff | hist) . . (+163) . . Talk:HW3.A Ben Laskowski ECE301Fall2008mboutin
- 07:51, 18 September 2008 (diff | hist) . . (+9) . . m Talk:3.A Joseph Mazzei - Time Invariant System ECE301Fall2008mboutin
- 07:51, 18 September 2008 (diff | hist) . . (+262) . . Talk:3.A Joseph Mazzei - Time Invariant System ECE301Fall2008mboutin
- 07:48, 18 September 2008 (diff | hist) . . (+511) . . N HW3.A Justin Kietzman - Time Invariance ECE301Fall2008mboutin (New page: ==Time Invariance== A system is Time Invariant if and only if the response to the shifted input is equal to the shifted output. <pre> x(t-t0) -System-> y(t-...) (current)
- 07:35, 18 September 2008 (diff | hist) . . (+50) . . Homework 3 ECE301Fall2008mboutin (→Application of linearity)
- 07:35, 18 September 2008 (diff | hist) . . (+50) . . Homework 3 ECE301Fall2008mboutin (→The basics of linearity)
- 07:34, 18 September 2008 (diff | hist) . . (+68) . . Homework 3 ECE301Fall2008mboutin (→Understanding System’s Properties)
- 12:45, 11 September 2008 (diff | hist) . . (+218) . . N HW2-E Justin Kietzman ECE301Fall2008mboutin (New page: ==Time Invariance== The system is Time variant because as the time shift (k) increases the amplitude of the system increases by <math>(k+1)^2</math> ==Linear== Assuming the system is li...) (current)
- 12:28, 11 September 2008 (diff | hist) . . (+369) . . HW2-D Justin Kietzman ECE301Fall2008mboutin (→Examples) (current)
- 12:17, 11 September 2008 (diff | hist) . . (+14) . . HW2-D Justin Kietzman ECE301Fall2008mboutin
- 12:14, 11 September 2008 (diff | hist) . . (+336) . . HW2-C Justin Kietzman ECE301Fall2008mboutin (→Examples) (current)
- 12:08, 11 September 2008 (diff | hist) . . (+343) . . HW2-C Justin Kietzman ECE301Fall2008mboutin
- 11:45, 11 September 2008 (diff | hist) . . (-20) . . File:TIimg ECE301Fall2008mboutin.png
- 11:45, 11 September 2008 (diff | hist) . . (+73) . . N HW2-D Justin Kietzman ECE301Fall2008mboutin (New page: A system is Time Invariant if: Image:TIimg.png)
- 11:03, 11 September 2008 (diff | hist) . . (-20) . . File:Linearity ECE301Fall2008mboutin.png
- 11:03, 11 September 2008 (diff | hist) . . (+76) . . N HW2-C Justin Kietzman ECE301Fall2008mboutin (New page: A system is called linear if: Image:Linearity.png)
- 10:38, 11 September 2008 (diff | hist) . . (+161) . . HW2-B Justin Kietzman ECE301Fall2008mboutin (current)
- 10:37, 11 September 2008 (diff | hist) . . (+134) . . HW2-B Justin Kietzman ECE301Fall2008mboutin
- 10:28, 11 September 2008 (diff | hist) . . (+254) . . N HW2-B Justin Kietzman ECE301Fall2008mboutin (New page: The error in the following code: <pre> F0 =13; T0 =1/F0; Ts = 0.07; t = 0:Ts:13*T0; x = real(exp(j*(2*pi*F0*t-pi/2)))...)
- 10:22, 11 September 2008 (diff | hist) . . (-20) . . File:PeriExp ECE301Fall2008mboutin.png
- 10:22, 11 September 2008 (diff | hist) . . (+192) . . HW2-A Justin Kietzman ECE301Fall2008mboutin (→Part 2) (current)
- 09:58, 11 September 2008 (diff | hist) . . (+12) . . HW2-A Justin Kietzman ECE301Fall2008mboutin (→Periodic Signals Revisited)
- 09:56, 11 September 2008 (diff | hist) . . (-20) . . File:Sin5tper ECE301Fall2008mboutin.png (uploaded a new version of "Image:Sin5tper.png")
- 09:56, 11 September 2008 (diff | hist) . . (+249) . . HW2-A Justin Kietzman ECE301Fall2008mboutin (→Periodic Signals Revisited)
- 09:46, 11 September 2008 (diff | hist) . . (+3) . . HW2-A Justin Kietzman ECE301Fall2008mboutin (→Periodic Signals Revisited)
- 09:46, 11 September 2008 (diff | hist) . . (-20) . . File:Sin5tnonper ECE301Fall2008mboutin.png
- 09:45, 11 September 2008 (diff | hist) . . (+116) . . HW2-A Justin Kietzman ECE301Fall2008mboutin (→Periodic Signals Revisited)
- 09:43, 11 September 2008 (diff | hist) . . (-15) . . HW2-A Justin Kietzman ECE301Fall2008mboutin (→Periodic Signals Revisited)
- 09:38, 11 September 2008 (diff | hist) . . (-24) . . HW2-A Justin Kietzman ECE301Fall2008mboutin (→Periodic Signals Revisited)
- 09:38, 11 September 2008 (diff | hist) . . (-20) . . File:Sin5tper ECE301Fall2008mboutin.png
- 09:37, 11 September 2008 (diff | hist) . . (+13) . . HW2-A Justin Kietzman ECE301Fall2008mboutin (→Periodic Signals Revisited)
- 09:37, 11 September 2008 (diff | hist) . . (+205) . . HW2-A Justin Kietzman ECE301Fall2008mboutin (→Periodic Signals Revisited)
- 09:25, 11 September 2008 (diff | hist) . . (+5) . . HW2-A Justin Kietzman ECE301Fall2008mboutin (→Periodic Signals Revisited)
- 09:24, 11 September 2008 (diff | hist) . . (-20) . . File:Sin5t ECE301Fall2008mboutin.png
- 09:24, 11 September 2008 (diff | hist) . . (+55) . . HW2-A Justin Kietzman ECE301Fall2008mboutin (→Periodic Signals Revisited)
- 09:19, 11 September 2008 (diff | hist) . . (+171) . . N HW2-A Justin Kietzman ECE301Fall2008mboutin (New page: ==Periodic Signals Revisited== The function chosen (by randomly clicking a name) from hw1 is y=sin(t). Found here: http://cobweb.ecn.purdue.edu/~mboutin/ECE301/Index.html)
- 09:05, 11 September 2008 (diff | hist) . . (+50) . . Homework 2 ECE301Fall2008mboutin (→Part E: Linearity and Time Invariance)
- 09:05, 11 September 2008 (diff | hist) . . (+50) . . Homework 2 ECE301Fall2008mboutin (→Part D: Time Invariance)
- 09:04, 11 September 2008 (diff | hist) . . (+50) . . Homework 2 ECE301Fall2008mboutin (→Part C: Linearity)
- 09:04, 11 September 2008 (diff | hist) . . (+50) . . Homework 2 ECE301Fall2008mboutin (→Part B: Find the Bug)
- 09:04, 11 September 2008 (diff | hist) . . (+50) . . Homework 2 ECE301Fall2008mboutin (→Part A: Periodic Signals Revisited)
- 15:09, 4 September 2008 (diff | hist) . . (+75) . . HW1.5 Justin Kietzman - Signal Energy and Power ECE301Fall2008mboutin (→Power of a Signal) (current)
- 15:07, 4 September 2008 (diff | hist) . . (+13) . . HW1.5 Justin Kietzman - Signal Energy and Power ECE301Fall2008mboutin (→Power of a Signal)
- 15:06, 4 September 2008 (diff | hist) . . (+121) . . HW1.5 Justin Kietzman - Signal Energy and Power ECE301Fall2008mboutin (→Power of a Signal)
- 15:04, 4 September 2008 (diff | hist) . . (+109) . . HW1.5 Justin Kietzman - Signal Energy and Power ECE301Fall2008mboutin (→Power of a Signal)
- 15:01, 4 September 2008 (diff | hist) . . (+105) . . HW1.5 Justin Kietzman - Signal Energy and Power ECE301Fall2008mboutin (→Energy of y = cos(t))
- 14:46, 4 September 2008 (diff | hist) . . (+113) . . N HW1.5 Justin Kietzman - Signal Energy and Power ECE301Fall2008mboutin (New page: == Energy of y = cos(t) == y = cos(t) t1 = 0 t2 = pi)
- 14:43, 4 September 2008 (diff | hist) . . (+9) . . HW1.4 Justin Kietzman - Periodic and Non-Periodic Functions ECE301Fall2008mboutin (→Non-Periodic Function)
- 14:43, 4 September 2008 (diff | hist) . . (+166) . . HW1.4 Justin Kietzman - Periodic and Non-Periodic Functions ECE301Fall2008mboutin (→Non-Periodic Function)
- 14:40, 4 September 2008 (diff | hist) . . (+147) . . HW1.4 Justin Kietzman - Periodic and Non-Periodic Functions ECE301Fall2008mboutin (→Periodic Function)
- 14:35, 4 September 2008 (diff | hist) . . (+76) . . Homework 1 ECE301Fall2008mboutin (→Energy and Power)
- 14:34, 4 September 2008 (diff | hist) . . (+76) . . HW1.4 Justin Kietzman - Periodic and Non-Periodic Functions ECE301Fall2008mboutin (→Periodic Function)
- 14:32, 4 September 2008 (diff | hist) . . (+207) . . N HW1.4 Justin Kietzman - Periodic and Non-Periodic Functions ECE301Fall2008mboutin (New page: ==Periodic Function== x(t) is periodic if there exists: T > 0 x(t+T) = x(t) x[n] is periodic if there exists: N > 0 x[n+N] = x[n] Example in CT <math> ...)
- 14:28, 4 September 2008 (diff | hist) . . (+1,032) . . N HW1.3 Justin Kietzman - Complex Number Definition and Polar Form ECE301Fall2008mboutin (New page: ==Complex Number== Complex Numbers are numbers that can be written in the form of: A + Bj Below is a graph of the imaginary plane that will help visualize what this means. [[Image:Compl...) (current)
- 14:24, 4 September 2008 (diff | hist) . . (+38) . . Homework 1 ECE301Fall2008mboutin (→Periodic and Non-Periodic Functions)
- 14:23, 4 September 2008 (diff | hist) . . (-4) . . Homework 1 ECE301Fall2008mboutin (→Review of Complex Numbers)
- 14:23, 4 September 2008 (diff | hist) . . (+135) . . HW1.3 Justin Kietzman - Complex Number Definition and Euler's Method ECE301Fall2008mboutin (→Polar Form) (current)
- 14:19, 4 September 2008 (diff | hist) . . (+593) . . HW1.3 Justin Kietzman - Complex Number Definition and Euler's Method ECE301Fall2008mboutin (→Complex Number)
- 13:55, 4 September 2008 (diff | hist) . . (+241) . . HW1.3 Justin Kietzman - Complex Number Definition and Euler's Method ECE301Fall2008mboutin (→Complex Number)
- 13:53, 4 September 2008 (diff | hist) . . (+106) . . N HW1.3 Justin Kietzman - Complex Number Definition and Euler's Method ECE301Fall2008mboutin (New page: ==Complex Number== Complex Numbers are numbers that can be written in the form of: <math> A + Bi </math>)
- 13:52, 4 September 2008 (diff | hist) . . (+97) . . Homework 1 ECE301Fall2008mboutin (→Review of Complex Numbers)
- 13:51, 4 September 2008 (diff | hist) . . (-86) . . HW1.4 Justin Kietzman ECE301Fall2008mboutin (→Complex Numbers) (current)
- 13:50, 4 September 2008 (diff | hist) . . (+78) . . File:ComplexNumber ECE301Fall2008mboutin.png (Source: http://en.wikipedia.org/wiki/Image:Complex_number_illustration.svg Licensed under the GNU.)
- 13:46, 4 September 2008 (diff | hist) . . (+106) . . N HW1.4 Justin Kietzman ECE301Fall2008mboutin (New page: ==Complex Numbers== Complex Numbers are numbers that can be written in the form of: <math> A + Bi </math>)
- 13:42, 4 September 2008 (diff | hist) . . (+50) . . m Homework 1 ECE301Fall2008mboutin (→Periodic and Non-Periodic Functions)
- 13:41, 4 September 2008 (diff | hist) . . (-20) . . File:Hw1.2JPSlowBackwards ECE301Fall2008mboutin.wav
- 13:41, 4 September 2008 (diff | hist) . . (+4) . . HW1.2 Justin Kietzman ECE301Fall2008mboutin (→MATLAB) (current)
- 13:39, 4 September 2008 (diff | hist) . . (+825) . . N HW1.2 Justin Kietzman ECE301Fall2008mboutin (New page: ==MATLAB== <pre> %Justin Kietzman %jkkietzm@purdue.edu %Hidden Messages %Please store the jpforward.wav in your current working directory %Clear all variables and workspace clc clear %U...)
- 13:38, 4 September 2008 (diff | hist) . . (+50) . . Homework 1 ECE301Fall2008mboutin (→Hidden Backward Message)
- 13:38, 4 September 2008 (diff | hist) . . (+1) . . HW1.1 Justin Kietzman ECE301Fall2008mboutin (→MATLAB) (current)
- 13:37, 4 September 2008 (diff | hist) . . (-20) . . File:Hw1 1FurElise ECE301Fall2008mboutin.wav (uploaded a new version of "Image:Hw1 1FurElise.wav")
- 13:36, 4 September 2008 (diff | hist) . . (+11) . . File:Hw1 3FurEliseXform ECE301Fall2008mboutin.wav (Fur Elise transformed by x(2t).)
- 13:36, 4 September 2008 (diff | hist) . . (+2) . . File:Hw1 2FurEliseSpeed ECE301Fall2008mboutin.wav (Fur Elise at 2x speed.)
- 13:25, 4 September 2008 (diff | hist) . . (+110) . . HW1.1 Justin Kietzman ECE301Fall2008mboutin (→MATLAB)
- 13:23, 4 September 2008 (diff | hist) . . (+51) . . HW1.1 Justin Kietzman ECE301Fall2008mboutin (→MATLAB)
- 13:16, 4 September 2008 (diff | hist) . . (-20) . . File:Hw1 1FurElise ECE301Fall2008mboutin.wav
- 13:15, 4 September 2008 (diff | hist) . . (+3,747) . . N HW1.1 Justin Kietzman ECE301Fall2008mboutin (New page: ==MATLAB== <pre> %Justin Kietzman %jkkietzm@purdue.edu %ECE301 %Fur Elise %Source of Sheet Music: %http://www.virtualsheetmusic.com/LookInside/EliseFl.html %This Program is a memory hog. ...)
- 13:14, 4 September 2008 (diff | hist) . . (+50) . . Homework 1 ECE301Fall2008mboutin (→Playing Music)
