- 11:49, 3 December 2010 (diff | hist) . . (0) . . N File:003.png (current)
- 11:49, 3 December 2010 (diff | hist) . . (0) . . ECE600 QE 2006 January
- 11:47, 3 December 2010 (diff | hist) . . (0) . . N File:002.png (current)
- 11:47, 3 December 2010 (diff | hist) . . (0) . . ECE 600 Exams Two jointly distributed random variables (current)
- 07:51, 1 December 2010 (diff | hist) . . (+8) . . ECE600 QE 2008 August
- 07:43, 1 December 2010 (diff | hist) . . (+1,140) . . ECE600 QE 2008 August
- 07:42, 1 December 2010 (diff | hist) . . (+960) . . ECE600 QE 2007 August
- 07:40, 1 December 2010 (diff | hist) . . (+28) . . ECE600 QE 2006 August
- 07:38, 1 December 2010 (diff | hist) . . (+1,470) . . ECE600 QE 2006 August
- 07:35, 1 December 2010 (diff | hist) . . (-6) . . ECE600 QE 2006 January
- 07:34, 1 December 2010 (diff | hist) . . (+990) . . ECE600 QE 2006 January
- 07:33, 1 December 2010 (diff | hist) . . (-1) . . ECE600 QE 2005 August
- 07:33, 1 December 2010 (diff | hist) . . (-21) . . ECE600 QE 2005 August
- 07:32, 1 December 2010 (diff | hist) . . (+1,185) . . ECE600 QE 2005 August
- 07:31, 1 December 2010 (diff | hist) . . (+1,155) . . ECE600 QE 2004 August
- 07:30, 1 December 2010 (diff | hist) . . (+945) . . ECE600 QE 2004 January
- 07:30, 1 December 2010 (diff | hist) . . (+2) . . ECE600 QE 2003 August
- 07:28, 1 December 2010 (diff | hist) . . (-6) . . ECE600 QE 2003 August
- 07:27, 1 December 2010 (diff | hist) . . (+1,200) . . ECE600 QE 2003 August
- 07:27, 1 December 2010 (diff | hist) . . (+840) . . ECE600 QE 2003 January
- 07:26, 1 December 2010 (diff | hist) . . (+1,290) . . ECE600 QE 2002 August
- 07:25, 1 December 2010 (diff | hist) . . (+7) . . ECE600 QE 2002 January
- 07:24, 1 December 2010 (diff | hist) . . (+840) . . ECE600 QE 2002 January
- 07:23, 1 December 2010 (diff | hist) . . (+1,140) . . ECE600 QE 2001 August
- 07:22, 1 December 2010 (diff | hist) . . (+660) . . ECE600 QE 2001 January
- 07:22, 1 December 2010 (diff | hist) . . (+555) . . ECE600 QE 2000 August
- 07:20, 1 December 2010 (diff | hist) . . (+1,215) . . ECE 600 Finals MRB 2004 Final (current)
- 07:18, 1 December 2010 (diff | hist) . . (+2,325) . . ECE 600 Finals MRB 1994 Final (current)
- 07:17, 1 December 2010 (diff | hist) . . (+1,170) . . ECE 600 Finals MRB 1992 Final (current)
- 07:16, 1 December 2010 (diff | hist) . . (+270) . . ECE 600 Finals (current)
- 07:15, 1 December 2010 (diff | hist) . . (+270) . . ECE 600 Exams A sum of a random number of iid Gaussian random variables (current)
- 07:14, 1 December 2010 (diff | hist) . . (+330) . . ECE 600 Exams Mean of iid random variables
- 07:14, 1 December 2010 (diff | hist) . . (+255) . . ECE 600 Exams Sequence of uniformly distributed random variables (current)
- 07:13, 1 December 2010 (diff | hist) . . (+255) . . ECE 600 Exams Sequence of exponentially distributed random variables (current)
- 12:14, 30 November 2010 (diff | hist) . . (+7) . . ECE 600 Exams Sequence of binomially distributed random variables (current)
- 12:13, 30 November 2010 (diff | hist) . . (+436) . . ECE 600 Exams Sequence of binomially distributed random variables
- 12:10, 30 November 2010 (diff | hist) . . (+405) . . ECE 600 Exams Geometric random variable (current)
- 12:10, 30 November 2010 (diff | hist) . . (+2,826) . . ECE 600 Exams Two jointly distributed random variables (Joint characteristic function) (current)
- 12:08, 30 November 2010 (diff | hist) . . (+585) . . ECE 600 Exams Two jointly distributed independent random variables (current)
- 12:07, 30 November 2010 (diff | hist) . . (-2,201) . . ECE 600 Exams Two jointly distributed random variables
- 12:06, 30 November 2010 (diff | hist) . . (+2,499) . . ECE 600 Exams Two jointly distributed random variables
- 12:00, 30 November 2010 (diff | hist) . . (+450) . . ECE 600 Exams Addition of two jointly distributed Gaussian random variables (current)
- 11:59, 30 November 2010 (diff | hist) . . (+495) . . ECE 600 Exams Addition of two independent Gaussian random variables (current)
- 11:58, 30 November 2010 (diff | hist) . . (+405) . . ECE 600 Exams Addition of two independent Poisson random variables (current)
- 11:57, 30 November 2010 (diff | hist) . . (-36,410) . . ECE 600 Exams (current)
- 11:55, 30 November 2010 (diff | hist) . . (+690) . . ECE 600 Homework (current)
- 11:53, 30 November 2010 (diff | hist) . . (+324) . . ECE 600 General Concepts of Stochastic Processes The Power Spectrum (current)
- 11:52, 30 November 2010 (diff | hist) . . (+1,177) . . ECE 600 General Concepts of Stochastic Processes Systems with Stochastic Inputs (current)
- 11:47, 30 November 2010 (diff | hist) . . (+1,800) . . ECE 600 General Concepts of Stochastic Processes Definitions (current)
- 11:44, 30 November 2010 (diff | hist) . . (+186) . . ECE 600 Random Sum (current)
- 11:42, 30 November 2010 (diff | hist) . . (+285) . . ECE 600 Central Limit Theorem (current)
- 11:41, 30 November 2010 (diff | hist) . . (+75) . . ECE 600 Strong law of large numbers (Borel) (current)
- 11:39, 30 November 2010 (diff | hist) . . (+227) . . ECE 600 Weak law of large numbers (current)
- 11:38, 30 November 2010 (diff | hist) . . (+210) . . ECE 600 Chebyshev Inequality (current)
- 11:37, 30 November 2010 (diff | hist) . . (+1,320) . . ECE 600 Convergence (current)
- 11:35, 30 November 2010 (diff | hist) . . (+105) . . ECE 600 Sequences of Random Variables (current)
- 11:34, 30 November 2010 (diff | hist) . . (+15) . . ECE 600 Prerequisites etc. (current)
- 11:33, 30 November 2010 (diff | hist) . . (+225) . . ECE 600 Prerequisites Minimum Mean-Square Error Estimation (current)
- 11:32, 30 November 2010 (diff | hist) . . (+420) . . ECE 600 Prerequisites Joint Characteristic Function (current)
- 11:31, 30 November 2010 (diff | hist) . . (+855) . . ECE 600 Prerequisites Two Random Variables (current)
- 11:30, 30 November 2010 (diff | hist) . . (+90) . . ECE 600 Prerequisites Direct PDF Method (current)
- 11:29, 30 November 2010 (diff | hist) . . (+30) . . ECE 600 Prerequisites CDF (Cumulative Distribution Function) and PDF (Probability Density Function) (current)
- 11:27, 30 November 2010 (diff | hist) . . (+555) . . ECE 600 Prerequisites Continuous Random Variables (current)
- 11:26, 30 November 2010 (diff | hist) . . (+630) . . ECE 600 Prerequisites Poisson Random Process (current)
- 11:25, 30 November 2010 (diff | hist) . . (+32) . . ECE 600 Prerequisites Discrete Random Variables (current)
- 11:24, 30 November 2010 (diff | hist) . . (+570) . . ECE 600 Prerequisites Discrete Random Variables
- 11:23, 30 November 2010 (diff | hist) . . (+45) . . ECE 600 Prerequisites Bayes' Theorem (current)
- 11:21, 30 November 2010 (diff | hist) . . (+705) . . ECE 600 Prerequisites Probability Space (current)
- 11:20, 30 November 2010 (diff | hist) . . (+939) . . ECE 600 Prerequisites Basic Math (current)
- 10:59, 30 November 2010 (diff | hist) . . (+3) . . ECE 600 Prerequisites Basic Math
- 14:12, 28 November 2010 (diff | hist) . . (+303) . . ECE 600 Prerequisites Basic Math
- 14:05, 23 November 2010 (diff | hist) . . (+35) . . ECE600 QE 2008 August
- 14:00, 23 November 2010 (diff | hist) . . (+86) . . ECE600 QE 2007 August
- 13:47, 23 November 2010 (diff | hist) . . (-7) . . ECE600 QE 2004 August
- 13:46, 23 November 2010 (diff | hist) . . (+114) . . ECE600 QE 2004 August
- 13:37, 23 November 2010 (diff | hist) . . (-30) . . ECE600 QE 2003 August
- 13:36, 23 November 2010 (diff | hist) . . (+2) . . ECE600 QE 2003 August
- 13:35, 23 November 2010 (diff | hist) . . (-1) . . ECE600 QE 2003 August
- 13:34, 23 November 2010 (diff | hist) . . (+72) . . ECE600 QE 2003 August
- 13:28, 23 November 2010 (diff | hist) . . (+8) . . ECE600 QE 2002 January
- 13:24, 23 November 2010 (diff | hist) . . (+86) . . ECE600 QE 2001 August
- 13:20, 23 November 2010 (diff | hist) . . (+54) . . ECE 600 Exams Geometric random variable
- 13:13, 23 November 2010 (diff | hist) . . (+73) . . ECE 600 Exams A sum of a random number of iid Gaussian random variables
- 13:13, 23 November 2010 (diff | hist) . . (+73) . . ECE 600 Exams Mean of iid random variables
- 13:13, 23 November 2010 (diff | hist) . . (+73) . . ECE 600 Exams Sequence of uniformly distributed random variables
- 13:12, 23 November 2010 (diff | hist) . . (+73) . . ECE 600 Exams Sequence of exponentially distributed random variables
- 13:12, 23 November 2010 (diff | hist) . . (+73) . . ECE 600 Exams Sequence of binomially distributed random variables
- 13:12, 23 November 2010 (diff | hist) . . (+73) . . ECE 600 Exams Geometric random variable
- 13:11, 23 November 2010 (diff | hist) . . (+73) . . ECE 600 Exams Two jointly distributed random variables (Joint characteristic function)
- 13:11, 23 November 2010 (diff | hist) . . (+73) . . ECE 600 Exams Two jointly distributed independent random variables
- 13:11, 23 November 2010 (diff | hist) . . (-143) . . ECE 600 Exams
- 13:10, 23 November 2010 (diff | hist) . . (+73) . . ECE 600 Exams Two jointly distributed random variables
- 13:10, 23 November 2010 (diff | hist) . . (+73) . . ECE 600 Exams Addition of two jointly distributed Gaussian random variables
- 13:09, 23 November 2010 (diff | hist) . . (+73) . . ECE 600 Exams Addition of two independent Gaussian random variables
- 13:09, 23 November 2010 (diff | hist) . . (+73) . . ECE 600 Exams Addition of two independent Poisson random variables
- 13:08, 23 November 2010 (diff | hist) . . (+34) . . ECE 600 Exams
- 13:07, 23 November 2010 (diff | hist) . . (+2,187) . . N ECE 600 Exams A sum of a random number of iid Gaussian random variables (New page: =Example. A sum of a random number of i.i.d. Gaussians= Let <math>\left\{ \mathbf{X}_{n}\right\}</math> be a sequence of i.i.d. Gaussian random variables, each having characteristic f...)
- 13:06, 23 November 2010 (diff | hist) . . (+2,099) . . N ECE 600 Exams Mean of iid random variables (New page: =Example. Mean of i.i.d. random variables= Let <math>\mathbf{X}_{1},\mathbf{X}_{2},\cdots,\mathbf{X}_{n}</math> be <math>M</math> jointly distributed i.i.d. random variables with mean...)
- 13:05, 23 November 2010 (diff | hist) . . (+2,378) . . N ECE 600 Exams Sequence of uniformly distributed random variables (New page: =Example. Sequence of uniformly distributed random variables= Let <math>\mathbf{X}_{1},\mathbf{X}_{2},\cdots,\mathbf{X}_{n}</math> be <math>n</math> i.i.d. jointly distributed random v...)
- 13:05, 23 November 2010 (diff | hist) . . (+2,566) . . N ECE 600 Exams Sequence of exponentially distributed random variables (New page: =Example. Sequence of exponentially distributed random variables= Let <math>\mathbf{X}_{1},\mathbf{X}_{2},\cdots,\mathbf{X}_{n}</math> be a collection of i.i.d. exponentially distribute...)
- 13:04, 23 November 2010 (diff | hist) . . (+2,693) . . N ECE 600 Exams Sequence of binomially distributed random variables (New page: =Example. Sequence of binomially distributed random variables= Let <math>\left\{ \mathbf{X}_{n}\right\} _{n\geq1}</math> be a sequence of binomially distributed random variables, with th...)
- 13:04, 23 November 2010 (diff | hist) . . (-6) . . ECE 600 Exams
- 13:02, 23 November 2010 (diff | hist) . . (+2,693) . . N ECE 600 Exams Secquence of binomially distributed random variables (New page: =Example. Sequence of binomially distributed random variables= Let <math>\left\{ \mathbf{X}_{n}\right\} _{n\geq1}</math> be a sequence of binomially distributed random variables, with th...) (current)
- 13:01, 23 November 2010 (diff | hist) . . (+4,083) . . N ECE 600 Exams Geometric random variable (New page: =Example. Geometric random variable= Let <math>\mathbf{X}</math> be a random variable with probability mass function <math>p_{\mathbf{X}}\left(k\right)=\alpha\left(1-\alpha\right)^{k-1}...)
- 13:01, 23 November 2010 (diff | hist) . . (+2,251) . . N ECE 600 Exams Two jointly distributed random variables (Joint characteristic function) (New page: =Example. Two jointly distributed random variables (Joint characteristic function)= Let <math>\mathbf{X}</math> and <math>\mathbf{Y}</math> be tweo jointly distributed random variables ...)
- 13:00, 23 November 2010 (diff | hist) . . (+4,492) . . N ECE 600 Exams Two jointly distributed independent random variables (New page: =Example. Two jointly distributed independent random variables= Let <math>\mathbf{X}</math> and <math>\mathbf{Y}</math> be two jointly distributed, independent random variables. The pdf...)
- 12:59, 23 November 2010 (diff | hist) . . (+2,127) . . N ECE 600 Exams Two jointly distributed random variables (New page: =Example. Two jointly distributed random variables= Two joinly distributed random variables <math>\mathbf{X}</math> and <math>\mathbf{Y}</math> have joint pdf <math>f_{\mathbf{XY}}\lef...)
- 12:57, 23 November 2010 (diff | hist) . . (+2,680) . . N ECE 600 Exams Addition of two jointly distributed Gaussian random variables (New page: =Example. Addition of two jointly distributed Gaussian random variables= Let <math>\mathbf{X}</math> and <math>\mathbf{Y}</math> be two jointly distributed Gaussian random variables. As...)
- 12:57, 23 November 2010 (diff | hist) . . (+6,104) . . N ECE 600 Exams Addition of two independent Gaussian random variables (New page: =Example. Addition of two independent Gaussian random variables= <math>\mathbf{X}\sim\mathcal{N}\left(0,\sigma_{\mathbf{X}}^{2}\right),\;\mathbf{N}\sim\mathcal{N}\left(0,\sigma_{\mathbf{N...)
- 12:56, 23 November 2010 (diff | hist) . . (+1,982) . . ECE 600 Exams Addition of two independent Poisson random variables
- 12:54, 23 November 2010 (diff | hist) . . (+737) . . N ECE 600 Exams Addition of two independent Poisson random variables (New page: Example. Addition of two independent Poisson random variables Let where and are independent Poisson random variables with means λ and μ , respectively. (a) Find the pmf of . Ac...)
- 12:54, 23 November 2010 (diff | hist) . . (+1) . . ECE 600 Exams
- 12:53, 23 November 2010 (diff | hist) . . (+1) . . ECE 600 Exams
- 12:53, 23 November 2010 (diff | hist) . . (+1,611) . . ECE 600 Exams
- 12:41, 23 November 2010 (diff | hist) . . (+39) . . ECE600 QE 2001 January
- 12:37, 23 November 2010 (diff | hist) . . (+22) . . ECE600 QE 2000 August
- 12:36, 23 November 2010 (diff | hist) . . (+1) . . ECE600 QE 2000 August
- 12:35, 23 November 2010 (diff | hist) . . (+79) . . ECE600 QE 2000 August
- 12:25, 23 November 2010 (diff | hist) . . (+10,584) . . ECE600 QE 2008 August
- 11:39, 23 November 2010 (diff | hist) . . (+8,827) . . ECE600 QE 2007 August
- 11:22, 23 November 2010 (diff | hist) . . (+65) . . N ECE600 QE 2008 August (New page: ---- Back to ECE600 Back to ECE 600 QE)
- 11:22, 23 November 2010 (diff | hist) . . (+67) . . N ECE600 QE 2007 August (New page: ---- Back to ECE600 Back to ECE 600 QE)
- 11:21, 23 November 2010 (diff | hist) . . (+3,154) . . ECE600 QE 2006 August
- 08:26, 23 November 2010 (diff | hist) . . (+195) . . ECE600 QE 2006 August
- 08:20, 23 November 2010 (diff | hist) . . (+9,284) . . N ECE600 QE 2006 August (New page: ==7.12 QE 2006 August== 1 Let <math>\mathbf{U}_{n}</math> be a sequence of independent, identically distributed zero-mean, unit-variance Gaussian random variables. The sequence <math>\m...)
- 08:07, 23 November 2010 (diff | hist) . . (+8,376) . . N ECE600 QE 2006 January (New page: ==7.11 QE 2006 January== 1 (33 points) Let <math>\mathbf{X}</math> and <math>\mathbf{Y}</math> be two joinly distributed random variables having joint pdf <math>f_{\mathbf{XY}}\left(...)
- 07:42, 23 November 2010 (diff | hist) . . (+60) . . ECE600 QE 2005 August
- 07:41, 23 November 2010 (diff | hist) . . (-1) . . ECE600 QE 2005 August
- 07:40, 23 November 2010 (diff | hist) . . (+9) . . ECE600 QE 2005 August
- 07:38, 23 November 2010 (diff | hist) . . (+8,668) . . N ECE600 QE 2005 August (New page: ==7.10 QE 2005 August== 1. (30 Points) Assume that <math>\mathbf{X}</math> is a binomial distributed random variable with probability mass function (pmf) given by <math>p_{n}\left(k\rig...)
- 07:05, 23 November 2010 (diff | hist) . . (+12,604) . . N ECE600 QE 2004 August (New page: ==7.9 QE 2004 August== '''1. (20 pts.)''' A probability space <math>\left(\mathcal{S},\mathcal{F},\mathcal{P}\right)</math> has a sample space consisting of all pairs of positive intege...)
- 06:37, 23 November 2010 (diff | hist) . . (+4) . . ECE600 QE 2004 January
- 06:36, 23 November 2010 (diff | hist) . . (-22) . . ECE600 QE 2004 January
- 06:36, 23 November 2010 (diff | hist) . . (+1) . . ECE600 QE 2004 January
- 06:35, 23 November 2010 (diff | hist) . . (+34) . . ECE600 QE 2004 January
- 06:33, 23 November 2010 (diff | hist) . . (+6,360) . . N ECE600 QE 2004 January (New page: ==7.8 QE 2004 January== '''1. (30 pts.)''' This question consists of two separate short questions relating to the structure of probability space: '''(a)''' Assume that <math>\mathcal{S...)
- 06:19, 23 November 2010 (diff | hist) . . (0) . . N File:Pasted21.png (current)
- 06:18, 23 November 2010 (diff | hist) . . (0) . . N File:Pasted40.png (current)
- 06:18, 23 November 2010 (diff | hist) . . (+8,745) . . N ECE600 QE 2003 August (New page: ==7.7 QE 2003 August== '''1. (15% of Total)''' This question is a set of short-answer questions (no proofs): '''(a) (5%)''' State the definition of a Probability Space. '''Answer''' ...)
- 05:44, 23 November 2010 (diff | hist) . . (+4,764) . . N ECE600 QE 2003 January (New page: ==7.6 QE 2003 January== '''Problem 1 (30 points)''' '''i)''' Let <math>\mathbf{X}</math> and <math>\mathbf{Y}</math> be jointly Gaussian (normal) distributed random variables with mea...)
- 13:32, 22 November 2010 (diff | hist) . . (+135) . . ECE 600 General Concepts of Stochastic Processes The Power Spectrum
- 13:31, 22 November 2010 (diff | hist) . . (+135) . . ECE 600 General Concepts of Stochastic Processes Systems with Stochastic Inputs
- 13:31, 22 November 2010 (diff | hist) . . (+135) . . ECE 600 General Concepts of Stochastic Processes Definitions
- 13:29, 22 November 2010 (diff | hist) . . (+113) . . ECE 600 Random Sum
- 13:29, 22 November 2010 (diff | hist) . . (+113) . . ECE 600 Central Limit Theorem
- 13:29, 22 November 2010 (diff | hist) . . (+113) . . ECE 600 Strong law of large numbers (Borel)
- 13:29, 22 November 2010 (diff | hist) . . (+113) . . ECE 600 Weak law of large numbers
- 13:29, 22 November 2010 (diff | hist) . . (+113) . . ECE 600 Chebyshev Inequality
- 13:28, 22 November 2010 (diff | hist) . . (+113) . . ECE 600 Convergence
- 13:25, 22 November 2010 (diff | hist) . . (+1,803) . . ECE600 QE 2002 August
- 13:10, 22 November 2010 (diff | hist) . . (0) . . N File:Pasted20.png (current)
- 13:09, 22 November 2010 (diff | hist) . . (-57) . . ECE600 QE 2001 August
- 12:46, 22 November 2010 (diff | hist) . . (+6,933) . . N ECE600 QE 2002 August (New page: 7.5 QE 2002 August 1. (25 Points) Consider a random experiment in which a point is selected at random from the unit square (sample space <math>S=\left[0,1\right]\times\left[0,1\right] )<...)
- 12:32, 22 November 2010 (diff | hist) . . (0) . . N File:Pasted19.png (current)
- 12:31, 22 November 2010 (diff | hist) . . (+7,980) . . N ECE600 QE 2002 January (New page: 7.4 QE 2002 January 1. (20 pts) Given two coins; the first coin is fair and the second coin has two heads. One coin is picked at random and tossed two times. It shows heads both times. W...)
- 12:08, 22 November 2010 (diff | hist) . . (+3,219) . . ECE600 QE 2001 August
- 07:08, 22 November 2010 (diff | hist) . . (+6,212) . . N ECE600 QE 2001 August (New page: =7.3 QE 2001 August= '''1. (10 Points)''' Consider the following random experiment: A fair coin is repeatedly tossed until the same outcome (H or T) appears twice in a row. (a) What is...)
- 06:58, 22 November 2010 (diff | hist) . . (+15) . . ECE600 QE 2001 January
- 06:56, 22 November 2010 (diff | hist) . . (+5,652) . . N ECE600 QE 2001 January (New page: =7.2 QE 2001 January= '''1. (20 pts)''' State and prove the Tchebycheff Inequality. Answer You can see the proof of Chebyshev inequality [CS1ChebyshevInequality]. '''2.''' '''(a) (7 ...)
- 06:36, 22 November 2010 (diff | hist) . . (+6,391) . . ECE600 QE 2000 August
- 06:17, 22 November 2010 (diff | hist) . . (+2) . . ECE600 QE 2000 August
- 06:17, 22 November 2010 (diff | hist) . . (+63) . . N ECE600 QE 2000 August (New page: ---- Back to ECE600 Back to ECE600 QE)
- 06:16, 22 November 2010 (diff | hist) . . (+5) . . ECE 600 QE
- 13:54, 21 November 2010 (diff | hist) . . (+621) . . ECE 600 QE
- 13:48, 21 November 2010 (diff | hist) . . (+32) . . N ECE 600 QE (New page: --- Back to ECE 600)
- 13:45, 21 November 2010 (diff | hist) . . (+7) . . ECE 600 Finals MRB 2004 Final
- 13:33, 21 November 2010 (diff | hist) . . (+11,498) . . ECE 600 Finals MRB 2004 Final
- 13:14, 21 November 2010 (diff | hist) . . (0) . . ECE 600 Finals MRB 1994 Final
- 13:13, 21 November 2010 (diff | hist) . . (+126) . . ECE 600 Finals MRB 1994 Final
- 13:08, 21 November 2010 (diff | hist) . . (+5,075) . . ECE 600 Finals MRB 1994 Final
- 12:37, 21 November 2010 (diff | hist) . . (+73) . . N ECE 600 Finals MRB 2004 Final (New page: ---- Back to ECE600 Back to ECE 600 Finals)
- 12:36, 21 November 2010 (diff | hist) . . (+75) . . ECE 600 Finals MRB 1994 Final
- 12:36, 21 November 2010 (diff | hist) . . (+14,694) . . N ECE 600 Finals MRB 1994 Final (New page: 6.2 MRB 1994 Final 1. (15 pts.) Three boxes that appear identical contain the following combinations of coins: Box X - 2 quaters; Box Y - 1 quaters, 2 dimes; Box Z - 1 quater, 1 dime. On...)
- 12:34, 21 November 2010 (diff | hist) . . (+77) . . ECE 600 Finals MRB 1992 Final
- 12:34, 21 November 2010 (diff | hist) . . (+32) . . ECE 600 Finals
- 12:31, 21 November 2010 (diff | hist) . . (+9,173) . . N ECE 600 Finals MRB 1992 Final (New page: 6.1 MRB 1992 Final 1. (15 pts.) Let <math>\mathbf{X}_{1},\cdots,\mathbf{X}_{n},\cdots</math> be a sequence of independent, identically distributed random variables, each having pdf <ma...)
- 12:27, 19 November 2010 (diff | hist) . . (+224) . . ECE 600 Finals
- 12:26, 19 November 2010 (diff | hist) . . (+1) . . ECE 600 Finals
- 12:25, 19 November 2010 (diff | hist) . . (+145) . . ECE 600 Finals
- 12:22, 19 November 2010 (diff | hist) . . (+7) . . ECE 600 Finals
- 12:21, 19 November 2010 (diff | hist) . . (+21) . . N File:Pasted23.png (Crude low-pass filter) (current)
- 12:20, 19 November 2010 (diff | hist) . . (+10) . . N File:Pasted22.png (LTI System) (current)
- 12:19, 19 November 2010 (diff | hist) . . (+2,467) . . N ECE 600 Finals (New page: ===6 Finals=== '''Example (Important because it was dealt in the class)''' Let <math>\mathbf{X}\left(t\right)</math> be a WSS random process with PSD <math>S_{\mathbf{XX}}\left(\omega\r...)
- 12:04, 19 November 2010 (diff | hist) . . (+925) . . ECE 600 Exams
- 09:27, 19 November 2010 (diff | hist) . . (+7,695) . . ECE 600 Exams
- 08:56, 19 November 2010 (diff | hist) . . (+2,273) . . ECE 600 Exams
- 08:26, 19 November 2010 (diff | hist) . . (+3,039) . . ECE 600 Exams
- 08:06, 19 November 2010 (diff | hist) . . (+22,482) . . N ECE 600 Exams (New page: =5 Exams= =Example. Addition of two independent Poisson random variables= Let <math>\mathbf{Z}=\mathbf{X}+\mathbf{Y}</math> where <math>\mathbf{X}</math> and <math>\mathbf{Y}</math> a...)
- 07:50, 19 November 2010 (diff | hist) . . (+18) . . ECE 600 Homework
- 07:47, 19 November 2010 (diff | hist) . . (+251) . . ECE 600 Homework
- 07:38, 19 November 2010 (diff | hist) . . (+3,825) . . N ECE 600 Homework (New page: 4 Homework Problem 7-20 (Homework 10) We place at random n points in the interval <math>\left(0,1\right)</math> and we denote by <math>\mathbf{X}</math> and <math>\mathbf{Y}</math> t...)
- 07:19, 19 November 2010 (diff | hist) . . (+25) . . ECE 600 Chebyshev Inequality
- 07:17, 19 November 2010 (diff | hist) . . (+22) . . ECE 600 Chebyshev Inequality
- 07:16, 19 November 2010 (diff | hist) . . (+34) . . N File:Pasted37.png (Comparison of modes of convergence) (current)
- 07:15, 19 November 2010 (diff | hist) . . (+29) . . ECE 600 Convergence
- 07:10, 19 November 2010 (diff | hist) . . (+2,491) . . N ECE 600 General Concepts of Stochastic Processes The Power Spectrum (New page: 3.3 The Power Spectrum Definition. Power spectrum The power spectrum or power spectral density (PSD) of a W.S.S. random process <math>\mathbf{X}\left(t\right)</math> , real or complex, i...)
- 07:05, 19 November 2010 (diff | hist) . . (+21) . . N File:Pasted39.png (Example of LTI System) (current)
- 07:04, 19 November 2010 (diff | hist) . . (+22) . . ECE 600 General Concepts of Stochastic Processes Systems with Stochastic Inputs
- 06:51, 19 November 2010 (diff | hist) . . (+2,440) . . ECE 600 General Concepts of Stochastic Processes Systems with Stochastic Inputs
- 06:12, 19 November 2010 (diff | hist) . . (+7,695) . . N ECE 600 General Concepts of Stochastic Processes Systems with Stochastic Inputs (New page: 3.2 Systems with Stochastic Inputs Given a random process <math>\mathbf{X}\left(t\right)</math> , if we assign a new sample function <math>\mathbf{Y}\left(t,\omega\right)</math> to each ...)
- 13:19, 17 November 2010 (diff | hist) . . (+563) . . ECE 600 General Concepts of Stochastic Processes Definitions
- 13:12, 17 November 2010 (diff | hist) . . (+13,550) . . N ECE 600 General Concepts of Stochastic Processes Definitions (New page: 3.1 Definitions Stochastic process The idea of a stochastic process is a straightforward extension of that of random variable. Instead of mapping each <math>\omega\in\mathcal{S}</math> ...)
- 12:42, 17 November 2010 (diff | hist) . . (+1) . . ECE 600 General Concepts of Stochastic Processes
- 12:42, 17 November 2010 (diff | hist) . . (+52) . . ECE 600 General Concepts of Stochastic Processes
- 12:41, 17 November 2010 (diff | hist) . . (+3) . . ECE 600 General Concepts of Stochastic Processes
- 12:41, 17 November 2010 (diff | hist) . . (+282) . . N ECE 600 General Concepts of Stochastic Processes (New page: *[ECE 600 General Concepts of Stochastic Processes Definitions|Definitions]] *[ECE 600 General Concepts of Stochastic Processes Systems with Stochastic Inputs|Systems with Stochastic Input...)
- 12:37, 17 November 2010 (diff | hist) . . (+1,580) . . N ECE 600 Random Sum (New page: 2.6 Random Sum Example. Addition of multiple independent Exponential random variables <math>\mathbf{X}_{1},\mathbf{X}_{2},\cdots</math> are <math>i.i.d.</math> Exponentail random varia...)
- 12:33, 17 November 2010 (diff | hist) . . (+219) . . ECE 600 Central Limit Theorem
- 12:32, 17 November 2010 (diff | hist) . . (+413) . . ECE 600 Central Limit Theorem
- 12:16, 17 November 2010 (diff | hist) . . (+2,851) . . N ECE 600 Central Limit Theorem (New page: 2.5 Central limit theorem Let <math>\left\{ \mathbf{X}_{n}\right\}</math> be a sequence of <math>i.i.d.</math> random vectors with mean <math>\mu</math> and variance <math>\sigma^{2}<...)
- 12:10, 17 November 2010 (diff | hist) . . (+607) . . N ECE 600 Strong law of large numbers (Borel) (New page: 2.4 Strong law of large numbers (Borel) Let <math>\left\{ \mathbf{X}_{n}\right\}</math> be a sequence of identically distributed random variables with mean <math>\mu</math> and varianc...)
- 12:08, 17 November 2010 (diff | hist) . . (+1,548) . . N ECE 600 Weak law of large numbers (New page: 2.3 Weak law of large numbers Let <math>\left\{ \mathbf{X}_{n}\right\}</math> be a sequence of <math>i.i.d.</math> random variables with mean <math>\mu</math> and variance <math>\sigm...)
- 12:04, 17 November 2010 (diff | hist) . . (+2,368) . . N ECE 600 Chebyshev Inequality (New page: 2.2 Chebyshev inequality Let <math>\mathbf{X}</math> be a random variable with mean <math>\mu</math> and variance <math>\sigma^{2}</math> . Then <math>\forall\epsilon>0</math> <math>p...)
- 11:58, 17 November 2010 (diff | hist) . . (+235) . . ECE 600 Convergence
- 08:25, 17 November 2010 (diff | hist) . . (+599) . . ECE 600 Convergence
- 07:55, 17 November 2010 (diff | hist) . . (+256) . . ECE 600 Convergence
- 07:41, 17 November 2010 (diff | hist) . . (+8,147) . . N ECE 600 Convergence (New page: ='''2.1 Converge'''= Definition. Converge A sequence of numbers <math>x_{1},x_{2},\cdots,x_{n},\cdots</math> is said to converge to a limit <math>x</math> if, for every <math>\epsilon>...)
- 07:23, 17 November 2010 (diff | hist) . . (+993) . . N ECE 600 Sequences of Random Variables (New page: Definition A random sequence or a discrete-time random process is a sequence of random variables <math>\mathbf{X}_{1},\cdots,\mathbf{X}_{n},\cdots</math> defined on a probability space <...)
- 07:16, 17 November 2010 (diff | hist) . . (+317) . . 2010 Fall ECE 600 Comer
- 07:10, 17 November 2010 (diff | hist) . . (+32) . . ECE 600 Prerequisites Poisson Random Process
- 07:09, 17 November 2010 (diff | hist) . . (+89) . . ECE 600 Prerequisites etc.
- 07:08, 17 November 2010 (diff | hist) . . (+271) . . N ECE 600 Prerequisites etc. (New page: ='''1.13 etc.'''= Inner product space Any Euclidean space <math>\mathbf{R}^{n}</math> with dot product is an inner product space. <math>\left\langle \left(x_{1},\cdots,x_{n}\right),\le...)
- 07:07, 17 November 2010 (diff | hist) . . (+1,312) . . N ECE 600 Prerequisites Minimum Mean-Square Error Estimation (New page: ='''1.12 Minimum Mean-Square Error Estimation'''= Let <math>\mathbf{X}</math> and <math>\mathbf{Y}</math> be two jointly-distributed RVs, suppose we want to estimate the value of <math>...)
- 07:03, 17 November 2010 (diff | hist) . . (+24) . . ECE 600 Prerequisites Joint Characteristic Function
- 07:01, 17 November 2010 (diff | hist) . . (+3,952) . . N ECE 600 Prerequisites Joint Characteristic Function (New page: ='''1.11 Joint Characteristic Function'''= The joint characteristic function of two joint-distributed RVs <math>\mathbf{X}</math> and <math>\mathbf{Y}</math> is <math>\Phi_{\mathbf{XY...)
- 06:54, 17 November 2010 (diff | hist) . . (+4,876) . . N ECE 600 Prerequisites Two Random Variables (New page: ='''1.10 Two Random Variables'''= '''Fact''' Let <math>\mathbf{X}</math> and <math>\mathbf{Y}</math> be two jointly-distributed, statistically independent random variables, having pdfs...)
- 06:41, 17 November 2010 (diff | hist) . . (+962) . . N ECE 600 Prerequisites Direct PDF Method (New page: ='''1.9 Direct PDF Method'''= If <math>y=g\left(x\right)\Longrightarrow x=g^{-1}\left(y\right)</math> uniquely, then <math>f_{\mathbf{Y}}\left(y\right)=f_{\mathbf{X}}\left(g^{-1}\left(y...)
- 06:39, 17 November 2010 (diff | hist) . . (+1,608) . . N ECE 600 Prerequisites Some Measures of Random Variables (New page: ='''1.8 Some Measures on Random Variable'''= 1.8.1 Mean <math>E\left[\mathbf{X}\right]=\sum_{k}k\cdot p_{\mathbf{X}}\left(k\right)=\int_{-\infty}^{\infty}x\cdot f_{\mathbf{X}}\left(x\rig...)
- 06:30, 17 November 2010 (diff | hist) . . (+435) . . N ECE 600 Prerequisites CDF (Cumulative Distribution Function) and PDF (Probability Density Function) (New page: ='''1.7 CDF (Cumulative Distribution Function) and PDF (Probability Density Function)'''= <math>F_{\mathbf{X}}\left(x\right)=P\left(\left\{ \mathbf{X}\leq x\right\} \right)</math> <math...)
- 06:28, 17 November 2010 (diff | hist) . . (+13) . . ECE 600 Prerequisites Continuous Random Variables
- 06:27, 17 November 2010 (diff | hist) . . (+4,446) . . N ECE 600 Prerequisites Continuous Random Variables (New page: ='''1.6 Continuous Random Variables'''= '''1.6.1 Gaussian distribution (normal distribution)''' <math>\mathcal{N}\left(\mu,\sigma^{2}\right)</math> <math>f_{\mathbf{X}}(x)=\frac{1}{\sqr...)
- 13:49, 16 November 2010 (diff | hist) . . (+7) . . ECE 600 Prerequisites Poisson Random Process
- 13:48, 16 November 2010 (diff | hist) . . (+7) . . ECE 600 Prerequisites Discrete Random Variables
- 13:48, 16 November 2010 (diff | hist) . . (+7) . . ECE 600 Prerequisites Bayes' Theorem
- 13:48, 16 November 2010 (diff | hist) . . (+7) . . ECE 600 Prerequisites Probability Space
- 13:47, 16 November 2010 (diff | hist) . . (+7) . . ECE 600 Prerequisites Basic Math
- 13:42, 16 November 2010 (diff | hist) . . (+4,531) . . ECE 600 Prerequisites Poisson Random Process
- 13:27, 16 November 2010 (diff | hist) . . (+48) . . N ECE 600 Prerequisites Poisson Random Process (New page: *ECE 600 Prerequisites)
- 13:26, 16 November 2010 (diff | hist) . . (+2,576) . . ECE 600 Prerequisites Discrete Random Variables
- 13:18, 16 November 2010 (diff | hist) . . (+2,115) . . N ECE 600 Prerequisites Discrete Random Variables (New page: =='''1.4 Discrete Random Variables'''== ='''1.4.1 Bernoulli distribution'''= <math>\mathbf{X}=\begin{cases} \begin{array}{lll} 1 & & ,\text{ if success}\\ 0 & & ,\text{ if fail.} \end{...)
- 13:10, 16 November 2010 (diff | hist) . . (+2) . . ECE 600 Prerequisites
- 13:09, 16 November 2010 (diff | hist) . . (+462) . . ECE 600 Prerequisites Bayes' Theorem
- 13:07, 16 November 2010 (diff | hist) . . (+48) . . N ECE 600 Prerequisites Bayes' Theorem (New page: *ECE 600 Prerequisites)
- 13:04, 16 November 2010 (diff | hist) . . (+268) . . ECE 600 Prerequisites Probability Space
- 12:56, 16 November 2010 (diff | hist) . . (+2,844) . . N ECE 600 Prerequisites Probability Space (New page: =='''1.2 Probability Space'''== ='''1.2.1 Probability Space'''= • Probability Space = <math>\left\{ \mathcal{S},\mathcal{F}\left(\mathcal{S}\right),\mathcal{P}\right\}</math> • <m...)
- 12:47, 16 November 2010 (diff | hist) . . (+51) . . ECE 600 Prerequisites Basic Math
- 12:45, 16 November 2010 (diff | hist) . . (+2) . . ECE 600 Prerequisites Basic Math
- 12:43, 16 November 2010 (diff | hist) . . (-13) . . ECE 600 Prerequisites Basic Math
- 12:39, 16 November 2010 (diff | hist) . . (+1,341) . . ECE 600 Prerequisites Basic Math
- 12:34, 16 November 2010 (diff | hist) . . (+1,762) . . ECE 600 Prerequisites Basic Math
- 12:28, 16 November 2010 (diff | hist) . . (+13) . . ECE 600 Prerequisites Basic Math
- 12:27, 16 November 2010 (diff | hist) . . (+829) . . ECE 600 Prerequisites Basic Math
- 12:23, 16 November 2010 (diff | hist) . . (+317) . . ECE 600 Prerequisites Basic Math
- 12:20, 16 November 2010 (diff | hist) . . (+507) . . ECE 600 Prerequisites Basic Math
- 12:17, 16 November 2010 (diff | hist) . . (0) . . ECE 600 Prerequisites Basic Math
- 12:17, 16 November 2010 (diff | hist) . . (+52) . . ECE 600 Prerequisites Basic Math
- 12:16, 16 November 2010 (diff | hist) . . (+103) . . ECE 600 Prerequisites Basic Math
- 12:12, 16 November 2010 (diff | hist) . . (+5) . . ECE 600 Prerequisites Basic Math
- 12:09, 16 November 2010 (diff | hist) . . (+778) . . ECE 600 Prerequisites Basic Math
- 12:01, 16 November 2010 (diff | hist) . . (-5) . . ECE 600 Prerequisites Basic Math (Removing all content from page)
- 08:05, 16 November 2010 (diff | hist) . . (+5) . . N ECE 600 Prerequisites Basic Math (New page: Hello)
- 12:43, 15 November 2010 (diff | hist) . . (+1,036) . . N ECE 600 Prerequisites (New page: *Basic Math *Probability Space *Bayes' Theorem *[[ECE 600 Prerequi...)
- 12:20, 15 November 2010 (diff | hist) . . (-128) . . 2010 Fall ECE 600 Comer
- 11:50, 15 November 2010 (diff | hist) . . (+164) . . N User:Nelder (New page: Nate Elder is a graduate student in the school of electrical engineering at Purdue University. He has a B.S. in biomedical engineering from Purdue University.)