Create the page "Linear Systems" on this wiki! See also the search results found.
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- [[Category: Linear Systems]]754 B (75 words) - 11:42, 3 December 2008
- #REDIRECT [[Automatic Controls:Linear Systems (HKNQE August 2007)]]67 B (7 words) - 11:32, 3 December 2008
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- 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
- Definition of a linear system: A system is said to be linear if you can multiply any scalar with the input signal, and the output is equ Definition of a non-linear system: A system is said to be non-linear if you cannot multiply any scalar with the input signal, and the output is391 B (70 words) - 05:45, 19 September 2008
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- ==Linear Systems==51 B (6 words) - 06:40, 25 August 2010
- <font size= 3> Topic 20: Linear Systems with Random Inputs</font size> ==Linear Systems with Random Inputs==8 KB (1,476 words) - 12:13, 21 May 2014
- == <div style="text-align:center"> Linear Systems of ODEs </div> == <font size="3px"> Similar as systems of algebraic equations, several ODEs can also form a system. A typical syst9 KB (1,504 words) - 23:12, 21 November 2017
- == <div style="text-align:center"> Non-Linear Systems of ODEs </div> == When the <math>n</math> ODEs are not all linear, this is a nonlinear system of ODE. Consider an example,10 KB (1,613 words) - 23:16, 21 November 2017
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Page text matches
- :[[ECE301|ECE301: "Signals and Systems"]] :[[MA265|MA265: "Linear Algebra]]2 KB (209 words) - 13:07, 9 September 2022
- *[[ECE301|ECE301: "Signals and Systems"]], the main page for this upper level ECE course. ...gnals_and_systems_practice_problems_list|Practice problems on "Signals and Systems"]]6 KB (877 words) - 07:22, 21 March 2013
- =The six basic properties of [[Systems]]= (Basic concept covered in [[ECE301]]: Signals and Systems)2 KB (399 words) - 06:06, 21 October 2011
- ==Linear Systems== *[[Automatic Controls:Linear Systems_(HKNQE_August_2007)|August 20007]]214 B (21 words) - 11:35, 3 December 2008
- [[Category: Linear Systems]]754 B (75 words) - 11:42, 3 December 2008
- #REDIRECT [[Automatic Controls:Linear Systems (HKNQE August 2007)]]67 B (7 words) - 11:32, 3 December 2008
- =Automated System Property Verification (for [[ECE301]]: "signals and systems")= =Basics: Systems as "functions that operate on functions"=3 KB (518 words) - 17:00, 23 April 2013
- [[Category:signals and systems]] [[Category: Systems]]4 KB (748 words) - 17:24, 23 April 2013
- Linear Time Invariant (LTI) systems have properties that arise from the properties of convolution.1 KB (178 words) - 11:50, 8 December 2008
- [[Category:signals and systems]] <b> Case 1 </b>: Denominator is a product of distinct linear factors.4 KB (616 words) - 17:26, 23 April 2013
- [[Category:signals and systems]] : "In Chapter 3, we developed a representation of periodic singals as linear combinations of complex exponentials.. Whereas for periodic signals the com3 KB (431 words) - 17:29, 23 April 2013
- :[[2015_Spring_ECE_201_Peleato|ECE201: "Linear Circuit Analysis I", Prof. Peleato]] **[[2013_Spring_ECE_301_Krogmeier|ECE301: Signals and Systems, Prof. Krogmeier]]13 KB (1,570 words) - 13:53, 7 August 2018
- | align="right" style="padding-right: 1em;" | Wednesday || 01/21/09 || Systems properties, Convolutions <span style="color:red"> HW0 due </span> || 1.2.1, ...right: 1em;" | Monday || 01/26/09 || CT Fourier transform || 1.3.2 || DT systems6 KB (689 words) - 07:59, 2 August 2010
- [[Category:signals and systems]] ...e 2]]: Example of CT signal (sound); Creating sounds in Matlab; Example of linear system.5 KB (720 words) - 06:10, 16 September 2013
- <h3>Systems</h3> <li>Definition: A system S is linear if for any two input signals <math>x_1(t)</math> and <math>x_2(t)</math>, a2 KB (408 words) - 06:43, 16 September 2013
- * PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409, == Systems ==8 KB (1,226 words) - 11:40, 1 May 2009
- :[[ECE301|ECE301: "Signals and Systems"]] :[[MA265|MA265: "Linear Algebra]]4 KB (474 words) - 07:08, 4 November 2013
- Linear Circuit Analysis, 2nd edition DeCarlo/Lin [[ECE301|Back to ECE301: "signals and systems"]]2 KB (362 words) - 07:05, 11 July 2012
- '''Linear System''': A system is said to be linear if 1) the magnitude of the system output is proportional to the system inpu735 B (133 words) - 18:51, 11 September 2008
- ...f scaling and superposition. Thus, the following holds true for all linear systems: :A linear system must satisfy the condition1 KB (231 words) - 05:55, 10 September 2008
- == 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
- 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
- [[Category:signals and systems]] ...tegration by parts. It works, but there is an easier way: express sin as a linear combination of exponential (using [[More_on_Eulers_formula|Euler's formula]6 KB (999 words) - 13:00, 16 September 2013
- Q1. Find the impulse response of the following LTI systems and draw their block diagram. b. State whether or not this system is (i) linear, (ii) time-invariant, (iii) memoryless, (iv) causal, (v) bounded-input-boun3 KB (462 words) - 10:42, 11 November 2011
- ...me-Invariant (LTI) DT systems. We listed some important properties of such systems, which led us to the concepts of "Frequency Response" and "Transfer functio867 B (122 words) - 16:21, 8 October 2010
- =The six basic properties of Systems, [[ECE301]]= ...operty holds, that is, that linear combinations of inputs lead to the same linear combinations of the outputs.2 KB (370 words) - 12:59, 8 November 2010
- 3.2 Systems with Stochastic Inputs 2. Linear time-invariant system11 KB (1,964 words) - 11:52, 30 November 2010
- In linear algebra, the study of matrices is one of the fundamental basis of this subj & \text{Giving us the linear systems} \\7 KB (865 words) - 14:32, 12 December 2010
- =='''Matrix Multiplication and Coordinate Systems'''== ...Algebra, I will focus specifically on Matrix Multiplication and Coordinate Systems. This page is created to enhance the understanding of these subtopics for [6 KB (1,018 words) - 22:13, 6 December 2010
- [[Category:2010FallMA265Momin Linear Systems]] [[ 2010FallMA265Momin Linear Systems|Back to 2010FallMA265Momin Linear Systems]]5 KB (883 words) - 21:12, 7 December 2010
- [[Category:linear algebra]] ...st as his most productive time. Bernoulli and Euler both studied vibrating systems and published many papers about the topic. While working in St. Petersburg,9 KB (1,558 words) - 15:55, 18 February 2015
- [[Category:linear algebra]] - '''Linear Combination''': <math> c_{\text{1}}A_{\text{1}} + c_{\text{2}}A_{\text{2}}11 KB (1,736 words) - 07:22, 3 July 2012
- = Elementary Linear Algebra Chapter 4: Real Vector Spaces = Note: This page is based on the fourth chapter in Elementary Linear Algebra with Applications (Ninth Edition) by Bernard Kolman and David R Hil11 KB (1,931 words) - 07:20, 3 July 2012
- ...for solving systems like in Chapter 2. Determinants are also important in linear transformations when discussed in Chapter 6.4 KB (687 words) - 12:45, 16 December 2010
- [[Category:linear algebra]] ...for solving systems like in Chapter 2. Determinants are also important in linear transformations when discussed in Chapter 6.4 KB (728 words) - 07:22, 3 July 2012
- = [[ECE301]]:"Signals and Systems", Spring 2011, Professor [[User:Mboutin|Boutin]] = **[[Linearity of a system ECE301S11|Is the following system linear?]]18 KB (2,485 words) - 10:36, 11 November 2011
- ...gnals_and_systems_practice_problems_list|Practice Question on "Signals and Systems"]]''' Is the system linear (yes/no)? Justify your answer.1 KB (241 words) - 16:23, 26 November 2013
- Which of the following systems are invertible? Memoryless? Causal? Stable? Linear? Time-invariant? (Justify your answers mathematically.) Determine the unit impulse response of each of the four systems described in Question 1.3 KB (402 words) - 12:19, 7 February 2011
- == LTI systems defined by linear, constant coef diff eq's == Now find the systems responce to <math class = "inline" > x[n] = \left( \frac{1}{4} \right)^n u[10 KB (1,788 words) - 09:22, 11 April 2013
- #Remaining properties of LTI systems: ##Causality for LTI systems (Section 2.3.6)10 KB (1,922 words) - 13:46, 2 February 2011
- ...ne">y_2[n]=a^2x_1[n]x_1[n-1]\neq ay_1[n]</math>, then the system is '''not linear'''. Hence the system is '''linear'''.14 KB (2,585 words) - 17:30, 15 February 2011
- [[Category:signals and systems]] ...ww.projectrhea.org/learning/practice.php Practice Problems] on Signals and Systems12 KB (1,768 words) - 10:25, 22 January 2018
- * Try out this practice question on causal LTI systems defined by linear, constant coefficients difference equations: ...erence_Equation_no1_ECE301S11|Example of "typical" questions on causal LTI systems defined by difference equations]]1 KB (202 words) - 16:24, 7 March 2011
- ...ory:Problem_solving|Practice Question]] on Causal LTI systems defined by a linear, constant coefficient difference equation =5 KB (793 words) - 10:28, 11 November 2011
- == Examples of Signals and Systems in Biomedical Engineering: == *'''Physiological Systems Modeling''' – Physiological processes can often be modeled mathematically17 KB (2,368 words) - 10:53, 6 May 2012
- <u></u>A system is called '''linear''' if for any constants <math>a,b\in </math> ''all complex numbers'' ...</sub>(''t''),''x''<sub>2</sub>(''t'')</span> then we say the system is '''linear'''.2 KB (255 words) - 10:50, 6 May 2012
- (Elementary Linear Algebra with Applications, Kolman and Hill, 9th ed.) NOTE: Mapping L onto W as satisfies the properties of a) and b) is a linear transformation covered in section 6.1 of the textbook for MA2653 KB (472 words) - 06:23, 10 May 2011
- == Shaum's Outlines, Signals and Systems Review (for [[ECE301]])== I have attempted to critique Shaum’s outlines of Signals and Systems in comparison to the ECE 301 course text book Signals and System’s 2nd ed5 KB (802 words) - 16:44, 23 April 2013
- ...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 MA265F11Walther|Matrix Multiplication and coordinate systems]]7 KB (1,026 words) - 15:11, 16 December 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 (1,341 words) - 03:52, 31 August 2013
- ...gned myself the task of writing few articles regarding/aiding the study of Linear Algebra.I hope to keep the contents relevant to what I learn in the class, | [[Formal Systems]]1 KB (168 words) - 16:33, 25 September 2011
- == Thoughts on the Formal Systems == ...ngineering problems without mathematical representation, and techniques of linear algebra and differential equations are incredibly useful in acquiring a sol3 KB (463 words) - 18:23, 25 September 2011
- [[Category:linear algebra]] '''Linear Programming'''5 KB (736 words) - 09:14, 11 April 2013