Create the page "Impulse Response" on this wiki! See also the search results found.
- ===Unit Impulse Response=== The unit impulse response of the system is found by substituting <math>\delta(t)</math> for <math>x(t1 KB (204 words) - 17:09, 26 September 2008
- ===The Unit Impulse Response=== ===HW 4.1 Response===550 B (110 words) - 17:36, 26 September 2008
- Obtain the unit impulse response h(t) and the system function H(s)<br><br> Compute the response of the system to the signal using H(s) and the Fourier series coefficients905 B (182 words) - 19:11, 26 September 2008
- Unit Impulse Response This is also the Laplace transform of the impulse response evaulated .1 KB (205 words) - 19:22, 26 September 2008
- Fourier Transforms and the frequency response of a system. The frequency response has a fundamental relationship to the unit step response through Fourier Transforms as follows3 KB (449 words) - 17:07, 8 October 2008
- * An LTI system has unit impulse response h[n] =u[-n]. Compute the system's response to the input <math>x[n] = 2^{n}u[-n].</math> Simplify your answer until all725 B (114 words) - 14:31, 10 October 2008
- An LTI system has unit impulse response <math> h[n] = u[-n] </math> Compute the system's response to the input <math> x[n] = 2^{n}u[-n] </math>907 B (154 words) - 10:57, 12 October 2008
- ...has unit impulse response <math>h[n] = u[-n]</math>. compute the system's response to the751 B (125 words) - 11:06, 14 October 2008
- ...as unit impulse response <math> h[n] = u[-n] </math>. Compute the system's response to the input <math> x[n] = 2^nu[-n] </math>. (simplify your answer until al1 KB (189 words) - 07:52, 22 October 2008
- ...Compute (a) the system's function <math>H(z)</math> and (b) the system's response to the input <math>x[n]=\cos(\pi n)</math>. The response to the input signal <math>z^n</math> is <math>H(z)z^n</math>, giving680 B (127 words) - 03:59, 15 October 2008
- ...tem has unit impulse response <math>h[n]=u[-n]</math> Compute the system's response to the input <math> x[n]=2^{n}u[-n].</math>(Simplify your answer until all748 B (146 words) - 10:56, 15 October 2008
- ...Compute (a) the system's function <math>H(z)</math> and (b) the system's response to the input <math>x[n]=\cos(\pi n)</math>.919 B (166 words) - 14:34, 15 October 2008
- An LTI system has unit impulse response <math>h[n] = u[n] - u[n - 2]\,</math>. b)Use the answer from a) to compute the system's response to the input <math>x[n] = cos(\pi n)\,</math>577 B (102 words) - 15:16, 15 October 2008
- '''Problem 5''' An LTI system has unit impulse response h[n] = u[n] -u[n-2]. b.) Use your answer in a) to compute the system's response to the input x[n] = cos(pi n)403 B (78 words) - 15:27, 15 October 2008
- An LTI system has unit impulse response h[n] = u[n] - u[n-2]. b) the system's response to the input <math>x[n]=\cos(\pi n)</math>.568 B (112 words) - 16:14, 15 October 2008
- An LTI system has unit impulse response h[n]=u[n]-u[n-2]. b) Use your answer in a) to compute the system's response to the input x[n] = cos(<math>\pi</math>n).814 B (167 words) - 18:03, 15 October 2008
- An LTI system has unit impulse response <math>h[n] = u[n] - u[n-2]\,</math>. b) What is the system response to the input <math>x[n]=\cos(\pi n)\,</math>.543 B (107 words) - 18:07, 15 October 2008
- The impulse response of an LTI system is <math>h(t)=e^{-2t}u(t)+u(t+2)-u(t-2)</math>. What is the Frequency response <math>H(j\omega)</math> of the system?4 KB (753 words) - 16:48, 23 April 2013
- ...thcal{F}((a)^n u[n]) = \frac{1}{1-a}, a<0 \,</math>, thus the unit impulse response for <math>\mathcal{X}(\omega)\,</math> is ...is <math> \frac{1}{1-ae^{-j\omega}}, a<1 \,</math>, thus the unit impulse response for <math>\mathcal{X}(\omega)\,</math> is11 KB (1,951 words) - 03:48, 25 March 2011
- ...a})</math>, the unit impulse response <math>\,h[n]</math>, or the system's response to an input <math>\,x[n]</math>.4 KB (633 words) - 11:13, 24 October 2008
- == Frequency Response == Frequency response in CT and DT are very similar. They both have the form of <math>\ Y(\omega)2 KB (255 words) - 16:12, 24 October 2008
- :(b) an ability to determine the impulse response of a differential or difference equation. [1,2;a] :(c) an ability to determine the response of linear systems to any input signal convolution in the time domain. [1,2,7 KB (1,017 words) - 10:05, 11 December 2008
- ...o a system with its impulse response is the same as convolving the impulse response with the input. ...adding the output is the same as convolving the input with the sum of the impulse responses.1 KB (190 words) - 21:15, 16 March 2008
- ...The output is simply the convolution of the input and the system's impulse response.821 B (137 words) - 16:22, 20 March 2008
- ...impulses, we can then apply the 'effect' of the system to each individual impulse of the signal, sum them, and find the resulting output. ...now to find the output of a LTI system is its input and its response to an impulse function'''?2 KB (305 words) - 11:17, 24 March 2008
- Find the frequency response H(|omega|) and the impulse response h[n] of the system. **Frequency Response:**1 KB (198 words) - 19:08, 4 April 2008
- ##[[The unit impulse and unit step functions_Old Kiwi]] ##[[Unit step response of an LTI system_Old Kiwi]]4 KB (531 words) - 11:32, 25 July 2008
- ...se response and told to find the output y(t). Since the input and impulse response are given, we simply use convolution on x(t) and h(t) to find the system's956 B (170 words) - 16:23, 3 July 2008
- ...se response and told to find the output y(t). Since the input and impulse response are given, we simply use convolution on x(t) and h(t) to find the system's954 B (175 words) - 16:56, 30 June 2008
- * Finding System properties of LTI systems from properties of the impulse response5 KB (643 words) - 11:55, 6 August 2009
- * Finding [[LTI system properties]] from the impulse response1 KB (152 words) - 04:06, 23 July 2009
- * A knowledge of impulse response functions and convolution for linear systems.7 KB (1,153 words) - 14:06, 24 August 2009
- |Homework 3 due – Impulse Response of LTI Systems1 KB (190 words) - 15:00, 24 August 2009
- ...place. "The output of a LTI system is the input convolved with the impulse response of the system." Why? How is the math producing the results you expect? --[[14 KB (2,366 words) - 17:32, 21 April 2013
- ...urce transformation; Thevenin's and Norton's theorems; superposition. Step response of 1st order (RC, RL) and 2nd order (RLC) circuits. Phasor analysis, impeda * Impulse Function δ(t)<br/>6 KB (873 words) - 17:02, 15 April 2013
- <br/>ii. an ability to determine the the impulse response of a differential or difference equation. <br/>iii. an ability to determine the response of linear systems to any input signal by convolution in the time domain.3 KB (394 words) - 07:08, 4 May 2010
- <br> The figure below shows us the impulse response of the filter defined by the equation above. ! [[Image:freq_resp.jpg|thumb|400px|freq response]]13 KB (2,348 words) - 13:25, 2 December 2011
- What is the unit impulse response of this system?2 KB (327 words) - 03:55, 24 September 2010
- For question 2c, will the impulse response just be the convolution of a unit impulse with the transfer function ho(t) (given on pg 521 fig 7.7 of Oppenheim-Will1 KB (159 words) - 03:56, 29 September 2010
- ...ted signal <math>x_r(t)</math> is the output of a filter when we input the impulse train of <math>x(t)</math> with period <math>T</math>. ...response of this filter is <math>\text{sinc}(t/T)</math>, whose frequency response is a ideal low-pass filter with the cut-off frequency of <math>1/(2T)</math4 KB (751 words) - 04:56, 2 October 2011
- Q1. Find the impulse response of the following LTI systems and draw their block diagram. (assume that the impulse response is causal and zero when <math>n<0</math>)3 KB (462 words) - 10:42, 11 November 2011
- First, find the impulse response of <math>h_1[n]</math>. (we assumed that <math>h_1[n]=0</math> when <math>n Then, the difference equation of the LTI system with the impulse reponss of <math>h_2[n]</math> is,1 KB (200 words) - 11:20, 13 October 2010
- Obtain the frequency response and the transfer function for each of the following systems: Find the response of this system to the input4 KB (661 words) - 11:22, 30 October 2011
- ...l. Thus if one is trying to define a causal system for which the frequency response is well defined, then the poles of the transfer function should all be insi2 KB (329 words) - 12:04, 18 October 2010
- :b. Find the frequency response <math>H(w)</math> from the difference equation by the following two approac ::ii. find the DTFT of the impulse response,3 KB (480 words) - 10:42, 11 November 2011
- a. Compute the impulse response h[n] of the system.3 KB (553 words) - 17:21, 20 October 2010
- a. System impulse response is the system output when input is impulse signal. c. Hint: The magnitude response looks like a sinc function with cut off frequency of <math>\pm \frac{2\pi}{1 KB (202 words) - 17:50, 20 October 2010
- ...ut is the product of the DFT of the input, and the DFT of the unit impulse response of the system: ...tion. We also had to worry about the fact that the input, the unit impulse response, and the output have different durations, and so we need to make sure to us1 KB (191 words) - 04:39, 27 October 2010
- #The filter has a zero frequency response at <math>\omega=0 </math> and <math>\omega=\pi </math>. In order for the filter's impulse response to be real-valued, the two poles must be complex conjugates. So we assume t2 KB (322 words) - 13:00, 26 November 2013
- :b. Compute the impulse response <math>h[n]</math> using a ROC of <math>|z|>a</math>. For what values of <ma :c. Compute the impulse response <math>h[n]</math> using a ROC of <math>|z|<a</math>. For what values of <ma3 KB (479 words) - 10:42, 11 November 2011
- b. By computing the inverse Z transform of H(z), we can obtain the impulse response h[n]2 KB (441 words) - 05:42, 28 October 2010
- 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
- Thus, the impulse response <math>h[n]</math> of the combined system is (if we assume 'casual'),1 KB (206 words) - 08:52, 4 November 2010
- In order for the filter's impulse response to be real-valued, the two zeros must be complex conjugates of one another: Then the frequency response of the filter is2 KB (279 words) - 17:23, 3 November 2010
- Q1. Consider a causal FIR filter of length M = 2 with impulse response3 KB (561 words) - 10:43, 11 November 2011
- ...for an input <math class="inline">\mathbf{X}\left(t\right)</math> , it has response <math class="inline">\mathbf{Y}\left(t+c\right)</math> for input <math cla ...th linear and time-invariant. A LTI system is characterized by its impulse response <math class="inline">h\left(t\right)</math> :11 KB (1,964 words) - 11:52, 30 November 2010
- ...random process and it is the input to a stable L.T.I. system with impulse response <math class="inline">h\left(t\right)</math> , then the output <math class="3 KB (492 words) - 11:53, 30 November 2010
- with impulse response <math class="inline">h\left(t\right)=\frac{1}{2T}\mathbf{1}_{\left[-T,T\rig3 KB (498 words) - 07:16, 1 December 2010
- ...right)</math> is the input to a linear time invariant system with impulse response <math class="inline">h\left(t\right)=e^{-\alpha t}\cdot1_{\left[0,\infty\ri22 KB (3,780 words) - 07:18, 1 December 2010
- ...ocess defined as the output of a linear time-invariant system with impulse response <math class="inline">h\left(t\right)=1_{\left[0,T\right]}\left(t\right),</m12 KB (2,205 words) - 07:20, 1 December 2010
- ...ocess defined as the output of a linear time-invariant system with impulse response <math class="inline">h\left(t\right)=\frac{1}{T}e^{-t/T}\cdot u\left(t\righ14 KB (2,358 words) - 08:31, 27 June 2012
- ..."inline">\mathbf{Y}(t)</math> be the output of linear system with impulse response <math class="inline">h\left(t\right)</math> and input <math class="inline"14 KB (2,439 words) - 08:29, 27 June 2012
- b. What is the 2D impulse response of this system? <br/> c. Calculate its frequency response H(u,v). <br/>3 KB (515 words) - 10:43, 11 November 2011
- The unit impulse response h[n] of a DT LTI system is Use convolution to compute the system's response to the input2 KB (380 words) - 10:20, 11 November 2011
- The unit impulse response h(t) of a CT LTI system is Use convolution to compute the system's response to the input2 KB (389 words) - 10:23, 11 November 2011
- ...en as a convolution integral between the input signal and the unit impulse response of the system. We covered one example of a DT convolution. An example of a2 KB (253 words) - 14:10, 28 February 2011
- Determine the unit impulse response of each of the four systems described in Question 1. Show that the CT unit impulse satisfies the equation3 KB (402 words) - 12:19, 7 February 2011
- The unit impulse response h[n] of a DT LTI system is Use convolution to compute the system's response to the input1,005 B (155 words) - 10:21, 11 November 2011
- The unit impulse response h[n] of a DT LTI system is Use convolution to compute the system's response to the input1 KB (178 words) - 10:21, 11 November 2011
- The unit impulse response h[n] of a DT LTI system is Use convolution to compute the system's response to the input1 KB (178 words) - 10:21, 11 November 2011
- The unit impulse response h[n] of a DT LTI system is Use convolution to compute the system's response to the input897 B (137 words) - 10:21, 11 November 2011
- The unit impulse response h[n] of a DT LTI system is Use convolution to compute the system's response to the input1 KB (187 words) - 10:22, 11 November 2011
- The unit impulse response h[n] of a DT LTI system is Use convolution to compute the system's response to the input1 KB (255 words) - 10:22, 11 November 2011
- The unit impulse response h[n] of a DT LTI system is Use convolution to compute the system's response to the input1 KB (199 words) - 10:22, 11 November 2011
- ...system using the convolution (integral) of the input with the unit impulse response. We then began discussing the properties of LTI systems that are a direct c2 KB (322 words) - 14:10, 28 February 2011
- ...t LTI systems. Finding the unit impulse response is easy: just plug a unit impulse (<math>\delta</math>) in place of the input signal!3 KB (481 words) - 07:39, 6 February 2011
- ...on 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. x(t') for t'<t. ...e can determine whether or not it is causal by looking at its unit impulse response. The trick is based on the following fact.10 KB (1,922 words) - 13:46, 2 February 2011
- ...atical procedure for proving an LTI system is memoryless using its impulse response. The notes say <math class="inline"> h(t) = k\delta(t), k \in {\mathbb C}</2 KB (404 words) - 04:50, 14 February 2011
- The unit impulse response of some LTI systems are given below. Which of these systems are memoryless? An LTI system has unit impulse response <math class="inline"> h(t) = e^{ t} \left( u(t-100)-u(t) \right) \ </ma4 KB (663 words) - 15:15, 12 February 2011
- ..._Zachary_Curosh:_Impulse-train_Sampling_ECE301Fall2008mboutin|A summary of impulse-train sampling]] *[[HW8_-_Zachary_Curosh:_Impulse-train_Sampling_ECE301Fall2008mboutin|page on impulse-train sampling]]6 KB (818 words) - 06:12, 16 September 2013
- The unit impulse response h(t) of a DT LTI system is Use convolution to compute the system's response to the input1 KB (222 words) - 10:23, 11 November 2011
- The unit impulse response h(t) of a DT LTI system is Use convolution to compute the system's response to the input780 B (119 words) - 10:23, 11 November 2011
- The unit impulse response h(t) of a DT LTI system is Use convolution to compute the system's response to the input2 KB (265 words) - 10:24, 11 November 2011
- ...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>. ...<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
- ...uared. So this is not the same as computing the energy of the unit impulse response h[n]. -pm </span>12 KB (2,321 words) - 10:13, 3 March 2011
- ..._2007_mboutin_Frequency_and_Impulse_Response_Example|Frequency and impulse response obtained from a difference equation describing an LTI system]] ..._2007_mboutin_Frequency_and_Impulse_Response_Example|Frequency and impulse response from diff. eq.]]12 KB (1,768 words) - 10:25, 22 January 2018
- ...a system is the same function as the Fourier transform of the unit impulse response of that system. We did some examples of computations of Fourier transforms1 KB (161 words) - 14:12, 28 February 2011
- An LTI system has unit impulse response <math class="inline">h(t)= e^{-3t} u(t) </math>. a) Compute the frequency response <math class="inline">{\mathcal H} (\omega) </math> of this system.4 KB (633 words) - 12:31, 2 March 2011
- Consider a discrete-time LTI system with impulse response Use Fourier transforms to determine the response to each of the following input signals4 KB (695 words) - 18:23, 7 March 2011
- a) What is the frequency response of this system? b) What is the unit impulse response of this system?5 KB (793 words) - 10:28, 11 November 2011
- ..._0</math>. If the student did this and correctly computed the unit impulse response based on that result should I award (full) points?2 KB (345 words) - 14:20, 22 March 2011
- From the above we conclude that the frequency response of the system is: Now, we find the unit impulse response by using the IDTFT integral.10 KB (1,783 words) - 08:23, 21 March 2011
- ...urity, but some [[Vaccine Posters|past research]] has focused on emergency response with mobile devices. This research has direct implications on the fie ...spectral analysis; design of finite impulse response and infinite impulse response digital filters; processing of random signals. Speech processing; vocal tra17 KB (2,368 words) - 10:53, 6 May 2012
- and hence the frequency response of the CT system is: <br> Using the relationship between the frequency response of the CT system and the DT system, we get:9 KB (1,462 words) - 07:01, 22 April 2011
- ...tions, such as sine or complex exponential. However, for the unit step and impulse functions, the author goes into a lot of detail. A lot more of the math beh The chapter begins with a discussion of the unit impulse response, along with some quite good examples, then quickly moves on to the convolut5 KB (854 words) - 10:53, 6 May 2012
- ...ribe a LTI system using Difference equation, transfer function and impulse response]] <br/>900 B (121 words) - 10:39, 11 November 2011
- ...n for each of the following systems. Sketch the magnitude of the frequency response, and indicate the location of the poles and zeros of the transfer function. Find the response of this system to the input5 KB (916 words) - 03:56, 31 August 2013
- ...More specifically, we saw how one could shift and window the unit impulse response of an ideal filter in order to obtain a causal FIR filter. A MATLAB plot of1 KB (164 words) - 06:30, 11 September 2013
- ...ng rates of 4, 8, and 16. In this project we are using FIR (finite impulse response) filter.<br>The audio signal we use is part of Waving Flag, the theme song10 KB (1,707 words) - 10:44, 6 May 2012
- ...ribe a LTI system using Difference equation, transfer function and impulse response]] <br/>6 KB (801 words) - 22:04, 19 April 2015
