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- == Linear System == A linear system is a system in which you can send the sum of any inputs and when you838 B (157 words) - 10:00, 11 September 2008
- ...tem to get an output w(t). If z(t)=w(t), then this system can be called a linear system. == Example of a Linear System ==2 KB (346 words) - 11:26, 11 September 2008
- == Linear Systems == Because we are engineers we will use a picture to describe a linear system:1 KB (225 words) - 17:05, 11 September 2008
- A linear system is a system that an output of a certain signal is the sum of all the For example, to prove that a system is linear, suppose that a system with output <math>y(t)</math> and input <math>x(t)</2 KB (290 words) - 19:23, 11 September 2008
- == Definition of Linear System == A system is considered linear if for any constants a, b that exist within the complex domain and for any2 KB (285 words) - 07:21, 12 September 2008
- My definition of linearity in terms of systems is: ...ose output combined with a linear shift is equivalent to the output if the linear shift is on the input of the system.711 B (128 words) - 09:45, 12 September 2008
- ...is defined as a system that contains superposition in the book(Signals and Systems 2nd ed. Oppenheim, 53). How I see it is if the input signal has a magnitude == Linear System Example ==947 B (193 words) - 14:54, 12 September 2008
- =Linear Systems= A linear system is defined as a system that if two inputs were placed in parallel in1 KB (270 words) - 09:58, 12 September 2008
- ==Linear Systems== ==Example of a Linear System==804 B (172 words) - 17:03, 12 September 2008
- A linear system is as follows: When two separate signals x(t) and y (t) enter two systems individually and their outputs are separately multiplied by constants a and1 KB (282 words) - 18:13, 12 September 2008
- * [[3.A Cory Ocker Systems Properties_ECE301Fall2008mboutin]] * [[3.A David Hartmann - Linear System_ECE301Fall2008mboutin]]12 KB (1,763 words) - 11:27, 16 September 2013
- ...tions, and then use the definition of linearity to write the response as a linear combination of the given response functions. --Jeff Kubascik1 KB (217 words) - 09:30, 18 September 2008
- For an LTI (Linear, Time-Invariant) system f, where <math>h(t) = f(\delta(t))</math>, the syst ...ote:''' The above is for continuous time (CT) systems. Discrete time (DT) systems behave in almost exactly the same way; simply substitute all "(t)" with "[n2 KB (291 words) - 17:03, 18 September 2008
- ...<math>x(t)=exp(-2jt)</math> is <math>y(t)=t*exp(2jt)</math>. What is the systems response to <math>x(t)=cos(2t)</math>? If a system is linear we know that:731 B (160 words) - 06:59, 18 September 2008
- : The Signal is Linear :Since the system is linear you can split the signal in two parts527 B (109 words) - 08:35, 18 September 2008
- ...{2jt} \!</math> and <math>e^{-2jt} \!</math>. Thus, because the system is linear, we can easily see the system's output to this input will be <math>\frac{1}636 B (119 words) - 12:08, 18 September 2008
- A system is linear if: Or more easily understood, if both systems give the same output for any799 B (157 words) - 13:21, 18 September 2008
- ...n as a result of the systems linearity, the output will be the just be the linear combination of the outputs of the two exponential above.855 B (147 words) - 16:46, 18 September 2008
- =Basic Systems Properties ([[ECE301]])= ==Causal and Non-Causal Systems==2 KB (437 words) - 11:47, 30 January 2011
- We know that the system is linear, therefore, we can sum the inputs to equal the sum of outputs: Finally, by the multiplication property of linear systems:817 B (143 words) - 14:29, 19 September 2008
- ...tion of [[3.A David Hartmann - Linear System_ECE301Fall2008mboutin| Linear systems]] we know the response to <math>\alpha x_1(t) + \beta x_2(t) </math> is <786 B (156 words) - 15:32, 19 September 2008
- * [[Emily Blount: DT and CT frequency response for systems characterized by Linear, Constant coefficients, Difference Equations_ECE301Fall2008mboutin]]3 KB (406 words) - 11:28, 16 September 2013
- [[Category:signals and systems]] ...ent difference equations are very important to the practice of signals and systems. They are of special importance when implementing filters. These equation2 KB (401 words) - 17:16, 21 April 2013
- ##Linear Interpolation (Connect the Samples) #Processing CT Signals Using DT Systems (Vinyl to CD)21 KB (3,312 words) - 11:58, 5 December 2008
- ...tanding of the difference between discrete and continuous time signals and systems. [1,2;a] :(c) an ability to determine the response of linear systems to any input signal convolution in the time domain. [1,2,4;a,e,k]7 KB (1,017 words) - 10:05, 11 December 2008
- ##Linear Interpolation (Connect the Samples) #Processing CT Signals Using DT Systems (Vinyl to CD)2 KB (254 words) - 07:05, 8 December 2008
- [[Lecture 8 - MLE, BPE and Linear Discriminant Functions_Old Kiwi|8]], [[Lecture 9 - Linear Discriminant Functions_Old Kiwi|9]],8 KB (1,354 words) - 08:51, 17 January 2013
- | ? || AC-1|| ? || Linear Systems |ee602 || AC-2 || (CC-2) || LTI and LT Systems -- State-Space Approach2 KB (279 words) - 23:00, 9 March 2008
- Fisher's linear discriminant is a classification method that projects high-dimensional data ...omotive intelligence applications such as automatic lane departure warning systems. Here, three features are chosen to identify lanes in a stream of images fr3 KB (430 words) - 10:40, 24 April 2008
- ...nsable tool for many statistical modeling techniques, in particular in non-linear modeling with non-normal data. The purpose of this paper is to provide a go ===A paper that describes the fisher's linear discriminant for patter recognition===39 KB (5,715 words) - 10:52, 25 April 2008
- * Fisher Linear Discriminant (FLD) is widely used in face recognition. Here is a paper for ...from that model. This offers the dual benefits of adaptivity to individual systems/users/sites and of (in principle) being less vulnerable to novel attacks.6 KB (905 words) - 12:18, 28 April 2008
- ==Basics: Systems as "functions that operate on functions"== ...the "system" functions (such as ``timeshift`` above) to prove things about systems.3 KB (495 words) - 18:39, 16 March 2008
- ...memory, time invariant systems, linear systems, causal systems and stable systems. This post will detail how to check if a system exhibits these general pro == Systems with and without memory:==3 KB (614 words) - 13:35, 2 April 2008
- Linear Time Invariant (LTI) systems have properties that arise from the properties of convolution.1 KB (190 words) - 21:15, 16 March 2008
- Fisher Linear Discriminant (FLD) is widely used in face recognition. Here is a paper for ...is imperative to achieve good accuracy. Some of well-known image retrieval systems are 'imgseek', 'blobworld' [http://citeseer.ist.psu.edu/72984.html], 'Bag o4 KB (549 words) - 14:40, 25 April 2008
- ** PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409, *** Chapter 10 of "Signals and Systems" By Oppenheim, Willsky, and Nawab (the ECE301 book).9 KB (1,237 words) - 09:29, 5 October 2009
- memoryless- the systems outputs depends on only current inputs causel- the systems outputs depends on only currnt or past inputs741 B (128 words) - 04:04, 23 July 2009
- Signals and Systems, (2nd Ed.), A. V. Oppenheim, A. S. Willsky with S. H. Nawab, Prentice-Hall, Signals and Systems, 3rd edition, N. Levan, Optimization Software, Inc., New York, ISBN 0-911577 KB (1,153 words) - 14:06, 24 August 2009
- Linear and shift invariant systems: [[Media:LinearShiftInvariantImagingSystems.pdf]]226 B (25 words) - 20:03, 11 November 2009
- *[[PeerLegacyMA265|MA265: Linear Algebra]] *[[PeerLegacyMA351|MA351: Elementary Linear Algebra]]4 KB (489 words) - 06:24, 24 April 2012
- ...y form to solve [[Linear_transformation|linear transformations]] and other systems of equations. It reduces the number of variables (represented by the numbe [[MA351|Back to MA351:"Elementary Linear Algebra"]]872 B (145 words) - 07:11, 14 April 2010
- =System of Linear Equations= ...n tandem with another. Also, the relations must be linear, thus the name "linear equations".2 KB (283 words) - 10:29, 9 April 2010
- ...in both linear algebra and solving systems of differential equations. In linear algebra Eigen Vectors can be used to find the diagonalized form of a matrix ...re scalar multiples of the corresponding base vector. In other words, for linear transformation <math>T</math> with matrix <math>A</math> and a proposed dia3 KB (472 words) - 11:11, 23 April 2010
- ...screte-time processing of continuous-time signals. Discrete-time nonlinear systems: median-type filters, threshold decomposition. System design examples such ...tanding of the difference between discrete and continuous time signals and systems.3 KB (394 words) - 07:08, 4 May 2010
- ...on and spectral density functions. Random processes and response of linear systems to random inputs.<br/><br/> ...>iii. an ability to determine the random process model for the output of a linear system when the system and input random process models are known. <br/><br/2 KB (231 words) - 07:20, 4 May 2010
- ...this case, 80 "epochs" or training runs by default. For simpler nonlinear systems, this might not be an issue. The following MATLAB code uses the Neural Net ...Self-Organizing Map] method for unsupervised learning is ideal for complex systems with multiple inputs, multiple outputs, and only 2 dimensions. Example 2 f5 KB (746 words) - 09:55, 11 May 2010
- ...earn up to a 5% bonus by contributing a Rhea page on a subject related to linear algebra. To pick a subject, simply write your name next to it. Please no mo ...Matrix multiplication MA265F10Walther|Matrix Multiplication and coordinate systems]]7 KB (1,024 words) - 10:42, 3 November 2011
- **PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409, ***Chapter 10 of "Signals and Systems" By Oppenheim, Willsky, and Nawab (the ECE301 book).9 KB (1,331 words) - 07:15, 29 December 2010
- [[Category:linear algebra]] Linear Algebra Sections 7-103 KB (552 words) - 07:12, 11 July 2012
- ==Linear Systems==51 B (6 words) - 06:40, 25 August 2010
