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- == Definition of Causal System == A system is '''causal''' if the output at any given time only depends on the input in present and512 B (85 words) - 11:57, 30 January 2011
- Topic: System Properties The input x(t) and the output y(t) of a system are related by the equation2 KB (253 words) - 16:22, 26 November 2013
- = [[:Category:Problem_solving|Practice Question]] on Causal LTI systems defined by a linear, constant coefficient difference equation = Consider the LTI system defined by the difference equation5 KB (793 words) - 10:28, 11 November 2011
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- [[Category:system properties]] A system with memory has outputs that depend on previous (or future) inputs.2 KB (399 words) - 06:06, 21 October 2011
- #Causal ...stem is Linear. --[[User:Asan|Asan]] 03:42, 14 June 2008 (EDT)(It is the system... not the signal)3 KB (534 words) - 11:16, 30 January 2011
- Determine if each system is causal and stable. For n < 0 h[n] = 0 therefore h[n] is causal.1 KB (194 words) - 11:21, 30 January 2011
- Find if each system is stable and causal. u(t-2) = 1 for t >= 2 making h(t) = 0 for t < 2. The system is causal.1 KB (200 words) - 11:22, 30 January 2011
- SYSTEM 1 - ...s of 'n'. In other words, <math>y[n] \neq Kx[n]</math>. As a result, the system is NOT memoryless or has memory.4 KB (854 words) - 11:03, 21 November 2008
- ...causal systems and stable systems. This post will detail how to check if a system exhibits these general properties. *Def: A system is said to be memoryless if its output for each value of the independent va4 KB (748 words) - 17:24, 23 April 2013
- =Frequency and Impulse Response of a causal LTI system defined by a difference equation = For the discrete time L.T.I. system described by2 KB (248 words) - 08:31, 9 March 2011
- ...he unit circle either) for the system to be stable. If the system is anti-causal, then all the poles have to outside the unit circle for stability. <br>560 B (103 words) - 05:24, 9 March 2009
- The system is time invariant and causal74 B (11 words) - 10:12, 12 September 2008
- == Understanding System’s Properties == * [[3.A Aishwar Sabesan - Causal System_ECE301Fall2008mboutin]]12 KB (1,763 words) - 11:27, 16 September 2013
- == Definition of Causal System == A system is '''causal''' if the output at any given time only depends on the input in present and512 B (85 words) - 11:57, 30 January 2011
- == Causal System Definition == A causal system is one whose output at some current time <math>t_0</math> only depends on s506 B (88 words) - 10:26, 17 September 2008
- == Causal System == ...alue of 't'. Furthermore, we can conclude that all memoryless systems are causal because they only depend on a present value of 't'.862 B (150 words) - 18:27, 16 September 2008
- =Part A: Understanding System’s Properties= ==1.Causal system==357 B (57 words) - 15:10, 19 September 2008
- A system is linear if the following conditions are met: If these conditions are not met, the system is non-linear.2 KB (318 words) - 14:57, 25 September 2008
- '''Memory less system''' A system is memoryless if for any <math>t\in \mathbb{R}</math> only on the input at625 B (115 words) - 08:57, 18 September 2008
- A system is said to be "causal" if at any given time, the output signal depends only on the present and/or A system is said to be "non-causal" if at any given time, the output signal depends on the future input signal387 B (71 words) - 11:52, 16 September 2008
- For a system to be causal: when a signal is inputted into the system, then the output signal (at any given time) only depends on the input signa ...signal depends on the input signal in future time, then the system is non-causal.776 B (146 words) - 05:27, 17 September 2008
- =Basic System Properties ([[ECE301]])= ==Memoryless System==2 KB (313 words) - 09:07, 6 October 2011
- ...depend on the input signal in future time, otherwise it is considered non-causal. == Example of a Causal System ==591 B (112 words) - 16:26, 17 September 2008
- == Memoryless System == A memoryless system is a system for which for any real number <math>t_0</math>, the output at <math>t_0</ma2 KB (324 words) - 17:50, 17 September 2008
- Definition of a causal system: A system is said to be "causal" if its outputs are based only on its present inputs. Defintion of a non-causal system: A system is said to be "non-causal" if its outputs are based on present input as well as past or future inputs262 B (49 words) - 08:35, 18 September 2008
- Definition of a causal system: A system is said to be causal if its outputs are not at all based on future conditions. Definition of a non-causal system: A system is said to be "non-causal" if its outputs are based on past and present inputs as well as future cond272 B (50 words) - 11:41, 19 September 2008
- == Causal System == A Causal System is a system where the output <math>y(t_{0})</math> only depends on the input <math>x(t)411 B (75 words) - 11:56, 18 September 2008
- A system is causal if the output at any time depends only on values of the input at the presen117 B (25 words) - 13:00, 18 September 2008
- A system is called causual if the output at any time depends only on values of the i A non-causal system is any system which depends on future times of the input.204 B (40 words) - 13:06, 18 September 2008
- A system can be called causal if the output at any given time only depends on the input in the present an == Example of A Casual System ==278 B (50 words) - 13:18, 18 September 2008
- A system is said to be '''causal''' if the output '''<math>Y[n]</math>''' at '''<math>n0</math>''' depends o The output signal '''<math>Y[n]</math>''' of a causal system is dependent only on the present and past samples of the input signal, '''X624 B (128 words) - 13:45, 18 September 2008
- =Causal System= A causal system is defined as a system whose outputs are only affected by the inputs from the present time, <math>362 B (64 words) - 16:36, 18 September 2008
- ==Memory and Memory-less System== A system is said to be memory-less, if and only if its output to a corresponding inp2 KB (437 words) - 11:47, 30 January 2011
- == Causal & Non-casual Systems== ===Casual System===673 B (109 words) - 16:45, 19 September 2008
- :(a) an ability to classify signals (e.g. periodic, even) and systems (e.g. causal, linear) and an understanding of the difference between discrete and contin #Basic System Properties7 KB (1,017 words) - 10:05, 11 December 2008
- Is the distance between two points in a cartesian coordinate system that is "measured by a ruler". The Euclidean distance between the points X= ...cab metric. The Manhattan distance between two points (X,Y) in a cartesian system is defined as <math>dist(X,Y)=\sum_{i=1}^n{|x_i-y_i|}</math>. This is equal31 KB (4,832 words) - 18:13, 22 October 2010
- ...ausal systems and stable systems. This post will detail how to check if a system exhibits these general properties. A system is said to be memoryless if its output for each value of the independent va3 KB (614 words) - 13:35, 2 April 2008
- #Causal ...stem is Linear. --[[User:Asan|Asan]] 03:42, 14 June 2008 (EDT)(It is the system... not the signal)3 KB (499 words) - 17:51, 16 June 2008
- A system with memory has outputs that depend on previous (or future) inputs. *Example of a system '''with''' memory:2 KB (387 words) - 20:52, 18 June 2008
- Determine if each system is causal and stable. For n < 0 h[n] = 0 therefore h[n] is causal.921 B (160 words) - 16:56, 18 June 2008
- Find if each system is stable and causal. u(t-2) = 1 for t >= 2 making h(t) = 0 for t < 2. The system is causal.868 B (165 words) - 20:10, 22 June 2008
- SYSTEM 1 - ...s of 'n'. In other words, <math>y[n] \neq Kx[n]</math>. As a result, the system is NOT memoryless or has memory.4 KB (836 words) - 16:20, 3 July 2008
- Property 7: Causal LTI System ...my own words: if a LTI system is causal(no matter it's CT or DT), then the system will always gives a zero output if the time n or t is less than zero.468 B (99 words) - 08:34, 1 July 2009
- == CAUSAL SYSTEMS == ...her a present or past value of ''<math>t</math>''. Likewise, a non-causal system is one which depends on a future value of ''t.''286 B (50 words) - 13:33, 1 July 2009
- '''Definition:''' A system is causal if and only if the output y(t) at any given time depends on the input x(t) '''Side Note:''' All memoryless systems are causal.882 B (176 words) - 17:19, 1 July 2009
- == Causal Systems == ...A system that is not causal depends on future values of the input to the system.436 B (79 words) - 19:03, 1 July 2009
- Property: Causal System Definition: The system is causal such that it gives a zero output for the time variable t < 0.378 B (72 words) - 19:45, 1 July 2009
- Definition: an LTI system is causal if only past and present values affect the output. Thus, this system exemplifies causality.515 B (83 words) - 03:17, 2 July 2009
- A system is causal if the system only depends on current or past values, not future values. x(t-2) is causal because it only relies on past values248 B (43 words) - 04:27, 2 July 2009
- ...rete-time nonlinear systems: median-type filters, threshold decomposition. System design examples such as the compact disc player and AM radio <br/><br/> i. an ability to classify signals (e.g. periodic, even) and systems (e.g. causal, linear) and an understanding of the difference between discrete and contin3 KB (394 words) - 07:08, 4 May 2010
- (assume that the impulse response is causal and zero when <math>n<0</math>) (assume that the impulse responses are causal and zero when <math>n<0</math>)3 KB (462 words) - 10:42, 11 November 2011
- (iv) Causal - Yes <br/> In an LTI System, when2 KB (380 words) - 20:24, 12 October 2010
- Consider a DT LTI system described by the following equation Find the response of this system to the input4 KB (661 words) - 11:22, 30 October 2011
- ...a circle if the system is causal. Thus if one is trying to define a causal system for which the frequency response is well defined, then the poles of the tra2 KB (329 words) - 12:04, 18 October 2010
- ...LTI system defined by a constant coefficient difference equation (but not causal).2 KB (260 words) - 12:42, 22 October 2010
- Is the distance between two points in a cartesian coordinate system that is "measured by a ruler". The Euclidean distance between the points X= ...cab metric. The Manhattan distance between two points (X,Y) in a cartesian system is defined as <math>dist(X,Y)=\sum_{i=1}^n{|x_i-y_i|}</math>. This is equal31 KB (4,787 words) - 18:21, 22 October 2010
- c. Is the system stable? Explain why or why not? <br/> ...<math>p_2</math>| < 1 and this ROC contains the unit circle. Therefore the system is stable. <br/>19 KB (3,208 words) - 11:23, 30 October 2011
- Then, calculate the impulse response and difference equation of the combined system <math>(T_1+T_2)[x[n]]</math>. Q2. Consider a causal FIR filter of length M = 2 with impulse response3 KB (462 words) - 10:42, 11 November 2011
- A system with memory has outputs that depend on previous (or future) inputs. *Example of a system '''with''' memory:2 KB (370 words) - 12:59, 8 November 2010
- *[[3.A_Adrian_Delancy_ECE301Fall2008mboutin|Basic system properties (definitions and reverse definitions)]] *[[3.A_Nicholas_Browdues_ECE301Fall2008mboutin|Basic system properties (definitions and reverse definitions)]]2 KB (257 words) - 09:08, 6 October 2011
- Q2. Consider the following 2D system with input x(m,n) and output y(m,n) a. Is this a linear system? Is it space invariant? <br/>3 KB (515 words) - 10:43, 11 November 2011
- ...<br>Comment: can you add an example of a memoryless system? Also a causal system?- a student <br>Sure. Here they are. -pm **[[Invertibility of a system ECE301S11|Is the following system invertible?]]18 KB (2,485 words) - 10:36, 11 November 2011
- ...f a memoryless system, a causal system, an invertible system, and a stable system. We then more on to the very important concept of time invariance. I announ **[[Invertibility_of_a_system_ECE301S11|Is the following system invertible?]]2 KB (232 words) - 05:41, 2 February 2011
- Which of the following systems are invertible? Memoryless? Causal? Stable? Linear? Time-invariant? (Justify your answers mathematically.) The unit impulse response of an LTI system is3 KB (402 words) - 12:19, 7 February 2011
- == Causal LTI system defined by cst coeff diff equations == What is the frequency response of this system? Recall:10 KB (1,788 words) - 09:22, 11 April 2013
- #Causal CT/DT systems described by differential/difference equations (Sections 2.4. ...the definition of a "causal" sytem. If you recall, a "causal system" is a system whose response at time t only depends on the input at previous times, i.e.10 KB (1,922 words) - 13:46, 2 February 2011
- ...f some LTI systems are given below. Which of these systems are memoryless? Causal? Stable? (Justify your answers mathematically.) An LTI system has unit impulse response <math class="inline"> h(t) = e^{ t} \left( u(t-4 KB (663 words) - 15:15, 12 February 2011
- Topic: System Properties The input x(t) and the output y(t) of a system are related by the equation2 KB (253 words) - 16:22, 26 November 2013
- Let <math>x_1[n]=0</math> for all <math>n</math> be an input to the given system. Then, its response is <math>y_1[n]=0</math> for all <math>n</math>. Let <math>x_2[n]=\delta [n]</math> be an input to the given system. Then, its response is <math>y_2[n]=0</math> for all <math>n</math>.14 KB (2,585 words) - 17:30, 15 February 2011
- ...h[n]\neq 0</math> for all <math class="inline">n\neq 0</math>. Hence, this system has '''memory'''. ..."there exists a non-zero n such that h[n] is not zero." So to show that a system has memory, it is sufficient to show that there exists a non-zero n for whi12 KB (2,321 words) - 10:13, 3 March 2011
- *Basic System Properties **[[Invertibility_of_a_system_ECE301S11|Is the following system invertible?]]12 KB (1,768 words) - 10:25, 22 January 2018
- .../TA/grader will know who is writing/grading what thanks to the peer review system, which keeps track of the Purdue career logins of the authors/graders. An LTI system has unit impulse response <math class="inline">h(t)= e^{-3t} u(t) </math>.4 KB (633 words) - 12:31, 2 March 2011
- ...s to obtain a simple expression for the frequency response of a causal LTI system defined by a differential equation.2 KB (346 words) - 14:13, 28 February 2011
- = [[:Category:Problem_solving|Practice Question]] on Causal LTI systems defined by a linear, constant coefficient difference equation = Consider the LTI system defined by the difference equation5 KB (793 words) - 10:28, 11 November 2011
- ...system question ECE301S11|memoryless?]] [[Causal system question ECE301S11|Causal?]] ...roaches to examine and manipulate the function and behavior of the nervous system. Concepts used include computational biology, neuroscience, electrica17 KB (2,368 words) - 10:53, 6 May 2012
- ...niquely specify the system. We also observed that the transfer function of causal systems defined by constant coefficient difference equation is the outside [[Category:causal system]]1 KB (142 words) - 06:27, 11 September 2013
- Consider a DT LTI system described by the following equation Find the response of this system to the input5 KB (916 words) - 03:56, 31 August 2013
- ...real signal. We finished the lecture with an example of implicitly defined system, for which we obtained the transfer function. It was observed that it is mo [[Category:causal system]]1 KB (221 words) - 06:28, 11 September 2013
- ...d window the unit impulse response of an ideal filter in order to obtain a causal FIR filter. A MATLAB plot of the example presented in class can be viewed o [[Category:causal system]]1 KB (164 words) - 06:30, 11 September 2013
- c. Is the system stable? Explain why or why not? <br/> ...<math>p_2</math>| < 1 and this ROC contains the unit circle. Therefore the system is stable. <br/>11 KB (1,757 words) - 11:15, 30 October 2011
- ...each of the following systems : linear and non-linear, causal and non-causal, with and without memory, invertible/non-invertible, stable/non-stable, tim ...fault you can login to Rhea with your Purdue CAREER account. Note that the system keeps track of who writes what/when and this information is available for p3 KB (511 words) - 10:18, 15 May 2013
- '''Linear system:''' y[n] = 8x[n/4] '''Non-linear system:''' y(t) = 5x^2(t) + 112 KB (308 words) - 16:53, 10 February 2013
- '''Linear system:''' y(t)=2x(t)+ 3 '''Non-linear system:''' y(t)=x(t)^2 + x(t) + 31 KB (241 words) - 11:27, 10 February 2013
- '''a.) Linear and non-linear system''' Linear system: y[n] = x[n]+x[n-1]1 KB (227 words) - 11:58, 11 February 2013
- linear system: y = x<sub>1</sub>(2t) + x<sub>1</sub>(t) causal: y = e<sup>t+5</sup>x(t-1)763 B (123 words) - 13:04, 11 February 2013
- Consider a DT LTI system described by the following equation Find the response of this system to the input4 KB (638 words) - 10:04, 16 October 2013
- c. Is the system stable? Explain why or why not? <br/> ...<math>p_2</math>| < 1 and this ROC contains the unit circle. Therefore the system is stable. <br/>11 KB (1,764 words) - 12:08, 29 October 2013
- Consider a DT LTI system described by the following equation Find the response of this system to the input4 KB (640 words) - 06:37, 3 November 2014
- c. Is the system stable? Explain why or why not? <br/> ...<math>p_2</math>| < 1 and this ROC contains the unit circle. Therefore the system is stable. <br/>11 KB (1,790 words) - 08:52, 10 November 2014
- Today we generalized filter A and Filter B to the case of any causal system defined by a difference equation with constant coefficients .2 KB (221 words) - 07:30, 10 November 2014
- Consider a DT LTI system described by the following equation Find the response of this system to the input4 KB (625 words) - 13:17, 16 November 2015
- c. Is the system stable? Explain why or why not? <br/> ...<math>p_2</math>| < 1 and this ROC contains the unit circle. Therefore the system is stable. <br/>11 KB (1,782 words) - 00:17, 23 November 2015
- ...region in the z-plane outside the outermost pole. Furthermore, if x[n] is causal, then the ROC also includes z = infinity. 1. A discrete-time LTI system is causal if and only if the ROC of its system function is the exterior of a circle, including infinity.6 KB (1,002 words) - 22:08, 29 November 2015
- ...ransfer function of an LTI system. For each ROAC, determine which of these system properties apply. (Just list the letters of the properties that apply.) :a) the system is causal;3 KB (481 words) - 15:35, 8 November 2016
- Consider a DT LTI system described by the following equation Find the frequency response of this system using five different approaches.3 KB (503 words) - 15:44, 8 November 2016
- (15 pts) 1. List at least three properties of an LTI system. ...that apply.) Below we describe the ROAC of the transfer function of an LTI system.<br />8 KB (1,336 words) - 15:40, 27 November 2016
- *Set <math>x[n]=\delta[n]</math> to get the unit impulse response h[n] of the system. Then Fourier transform $h[n]$ to get the frequency response. ...of the system. Then z-transform $h[n]$ to get the transfer function of the system, and subsequently restrict the transfer function to the unit circle to get9 KB (1,559 words) - 14:33, 24 November 2016
- | '''''Characteristics of System''''' || '''''How to know?''''' | Causal|| The transfer function of the system converges at z= infinity. Z=infinity is included in ROC. (Fact 4)967 B (143 words) - 13:22, 3 December 2017
- === System Properties === These are not invertible because for each system, multiple inputs result in one output. <br />4 KB (523 words) - 20:12, 17 November 2018
- =Z Transform and LTI System Properties Study Guide= ...e, it is useful for analyzing signal that don't have a DTFT, analyzing LTI system stability, and looking at the transfer function characteristics among other6 KB (1,040 words) - 00:57, 2 December 2019
