• ...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 tra
    2 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 equal
    31 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 response
    3 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 is
    3 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 equation
    2 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 whi
    12 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 equation
    5 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. &nbsp;Concepts used include computational biology, neuroscience, electrica
    17 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 input
    5 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&nbsp;: 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 p
    3 KB (511 words) - 10:18, 15 May 2013
  • '''Linear system:''' y[n] = 8x[n/4] '''Non-linear system:''' y(t) = 5x^2(t) + 11
    2 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) + 3
    1 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 input
    4 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 input
    4 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 input
    4 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 get
    9 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 other
    6 KB (1,040 words) - 00:57, 2 December 2019

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Alumni Liaison

Correspondence Chess Grandmaster and Purdue Alumni

Prof. Dan Fleetwood