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- [[Category: Frequency Response]] [[Category: Impulse Response]]2 KB (248 words) - 08:31, 9 March 2011
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- ##[[The unit impulse and unit step functions_(ECE301Summer2008asan)|The unit impulse and unit step functions]] ##[[Unit step response of an LTI system_(ECE301Summer2008asan)|Unit step response of an LTI system]]7 KB (921 words) - 06:08, 21 October 2011
- The unit impulse response of an LTI system is the CT signal What is the system's response to the input1 KB (227 words) - 10:55, 30 January 2011
- The unit impulse response of an LTI system is the CT signal What is the system's response to the input1 KB (222 words) - 10:57, 30 January 2011
- The unit impulse response of an LTI system is the CT signal What is the system's response to the input409 B (61 words) - 10:59, 30 January 2011
- ...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 (178 words) - 11:50, 8 December 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 (322 words) - 17:27, 23 April 2013
- [[Category: Frequency Response]] [[Category: Impulse Response]]2 KB (248 words) - 08:31, 9 March 2011
- ...2007 mboutin Frequency and Impulse Response Example|Frequency and Impulse Response Example]]== {{:ECE 301 Fall 2007 mboutin Frequency and Impulse Response Example}}850 B (90 words) - 12:27, 12 December 2008
- ...to comb <math>x_a(t)\!</math> and convolve it with a system whose impulse response is a rect that goes from 0 to T with height 1. So in the <math>f\!</math>2 KB (302 words) - 08:37, 26 February 2009
- ...t \in \mathbb{R} </math> the shifted input <math>x(t-t_0)\,</math> yields response <math>y(t-t_0) \,</math> ...<math> t \in \mathbb{R} </math> the shifted input <math>x(t-t_0)\,</math> response ISN'T equal to <math>y(t-t_0) \,</math>2 KB (313 words) - 09:07, 6 October 2011
- == Part A: The unit impulse response and system function H(s) == The unit impulse response:1 KB (202 words) - 17:41, 25 September 2008
- ==unit impulse response== Obtain the unit impulse response h(t) and the system function H(s) of your system. :1 KB (223 words) - 07:30, 25 September 2008
- ==Obtain the Unit Impulse Response h[n] and the System Function F[z] of the system== First to obtain the unit impulse response h[n] we plug in <math>\delta{[n]}</math> into our y[n].865 B (174 words) - 08:52, 27 September 2008
- h(t) is the impulse response of the LTI SYSTEM1 KB (215 words) - 14:56, 26 September 2008
- ==Unit Impulse Response== ...</math>. One might recognize this is the Laplace transform of the impulse response evaluated at <math>s=j\omega</math>.2 KB (344 words) - 13:40, 26 September 2008
- == Unit Impulse Response == == Frequency Response ==1 KB (214 words) - 19:15, 24 September 2008
- == Unit Impulse Response == == Frequency Response ==1 KB (218 words) - 19:15, 24 September 2008
- ...has unit impulse response <math>h[n] = u[n-1]</math>. What is the system's response to <math>x[n] = u[n-3]</math>?'''134 B (26 words) - 05:14, 25 September 2008
- a) Obtain the unit impulse response h(t) and the system function H(s) of your system. b) Compute the response of your system to the signal you defined in Question 1 using H(s) and the F1 KB (241 words) - 18:42, 26 September 2008
- a) Obtain the unit impulse response h[n] and the system function H(z) of your system. Unit impulse response:946 B (182 words) - 18:38, 26 September 2008
- ==Impulse Response== the impulse response is...2 KB (339 words) - 07:23, 25 September 2008
- ==Unit Impulse and System Function== The unit impulse is the systems response to an input of the function <math>\delta(t)</math>.731 B (144 words) - 06:42, 25 September 2008
- ==unit impulse response== Obtain the unit impulse response h(t) and the system function H(s) of your system. :920 B (187 words) - 07:27, 25 September 2008
- ===Unit Impulse Response=== ===Response to a signal===971 B (188 words) - 08:43, 25 September 2008
- ==Impulse Response== =>impulse response = <math>3\delta(t)</math>2 KB (297 words) - 17:34, 25 September 2008
- == Unit Impulse Response == ...to an input <math>\delta(t)\!</math>. Thus, in our case, the unit impulse response is simply <math>h(t)=2\delta(t)-3\delta(t-2)\!</math>1 KB (275 words) - 11:52, 25 September 2008
- == UNIT IMPULSE RESPONSE OF SYSTEM == ...ath>x(t) = \delta(t)\! </math>. Then we obtain the following unit impulse response:1 KB (238 words) - 08:31, 26 September 2008
- Unit Impulse Response: <math>h(t) = K \delta(t)</math> Frequency Response:1,003 B (203 words) - 12:33, 25 September 2008
- == Obtain the Unit Impulse Response h[n] == By definition, to obtain the unit impulse response from a system defined by <math>y[n] = x[n]\,</math>, simply replace the <ma2 KB (308 words) - 14:13, 25 September 2008
- == Unit Impulse Response == == Frequency Response ==1 KB (242 words) - 13:11, 25 September 2008
- '''a)''' Obtain the unit impulse response h[n] and the system function H(z) of f. '''b)''' Compute the response of f to the signal x[n] found [[HW4.2_Brian_Thomas_ECE301Fall2008mboutin|he2 KB (355 words) - 16:48, 25 September 2008
- Find the system's unit impulse response <math>\,h(t)\,</math> and system function <math>\,H(s)\,</math>. The unit impulse response is simply (plug a <math>\,\delta(t)\,</math> into the system)2 KB (434 words) - 18:11, 25 September 2008
- ...t <math> x[n] = \delta [n] </math> to y[n]. h[n] is then the unit impulse response.<br><br> === b) Response of Signal in Question 1 ===2 KB (390 words) - 07:56, 26 September 2008
- Find the system's unit impulse response <math>\,h[n]\,</math> and system function <math>\,H(z)\,</math>. The unit impulse response is simply (plug a <math>\,\delta[n]\,</math> into the system)2 KB (360 words) - 18:54, 25 September 2008
- ==CT LTI Impulse Response== ==Response to My Function From Part 1==1 KB (207 words) - 18:48, 25 September 2008
- == Part A: Unit Impulse Response and System Function == == Part B: Response of the System ==1 KB (203 words) - 18:54, 25 September 2008
- ==Obtain the input impulse response h(t) and the system function H(s) of your system== ==Compute the response of your system to the signal you defined in Question 1 using H(s) and the F2 KB (349 words) - 08:25, 26 September 2008
- =Obtain the input impulse response h[n] and the system function H(z) of your system= So, we have the unit impulse response:1 KB (241 words) - 09:04, 26 September 2008
- The impulse response, h(t), of this system is computed using the following: The response, y(t) = H(jw)*x(t)837 B (166 words) - 09:55, 26 September 2008
- ==Impulse Response== so the impulse response is 7d(t)426 B (79 words) - 10:24, 26 September 2008
- The unit impulse response of this system is: Taking the laplace transform of the unit impulse response of this system gives us:910 B (185 words) - 14:36, 26 September 2008
- Unit Impulse Response: Frequency Response:1,016 B (194 words) - 15:50, 26 September 2008
- unit impulse response then we can can a unit impulse response as408 B (77 words) - 14:07, 26 September 2008
- ==a) Finding the unit impulse response h[n] and the system function F(z).== Therefore the unit impulse response, <big><math>h[n] = 5\delta [n]</math></big>1 KB (294 words) - 15:59, 26 September 2008
- ==Computing the Impulse Response and System Function== Now computing the actual response:1 KB (239 words) - 17:50, 26 September 2008
- ...is the output and <math>x(t)\,</math> is the input, find the unit impulse response <math>h(t)\,</math> and the system function <math>H(s)\,</math>.<br> Then find the response to <math>x(t) = 5cos(3\pi t) + sin(\pi t)\,</math>1 KB (208 words) - 15:01, 26 September 2008
- ==Unit Impulse Response== Well, this is rather straightforward. You want the response to the unit impulse, do ya? Well, if that is what you want, that is what you will get. All you2 KB (334 words) - 16:10, 26 September 2008
- The unit impulse response is then <math>h(t) =3u(t-1)</math> The response of the input <math>x(t)</math> to the system <math>y(t)</math> using <math>986 B (178 words) - 16:31, 26 September 2008
- The unit impulse response of the system would then simply be ...be determined by taking the Laplace Transform of the system's unit impulse response, h(t).1 KB (233 words) - 17:43, 26 September 2008
- ==Unit Impulse Response h(t) and System Function H(s)== ==Response of the Signal and Fourier Series Coefficients==1 KB (214 words) - 17:41, 26 September 2008
- ===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
- [[Category:Impulse Response]] Impulse Response: mathematically the impulse response can be modeled as a dirac delta function. The dirac delta represents an inf1 KB (196 words) - 17:45, 21 April 2013
- ...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\righ5 KB (735 words) - 01:17, 10 March 2015
- ..."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"5 KB (726 words) - 10:35, 10 March 2015
- ...h>\mathbf{X}(t)</math> through a linear time-invariant system with impulse response <math>h(t)</math> whose Fourier transform <math>H(\omega)</math> has the id4 KB (547 words) - 16:40, 30 March 2015
- PSF is equivalent to computing the impulse response for the particular image. More information can be found on http://en.wikipe3 KB (555 words) - 08:09, 9 April 2013
- 1. Impulse response examples for each of the following systems : linear and non-linear, ca3 KB (511 words) - 10:18, 15 May 2013
- ...tion. Consider the convolution of the following constant input and causal impulse reponse: ...sponses started at time n=0 and n=1. But if we carry this back to earlier impulse responses, we see that we get the geometric series:6 KB (991 words) - 15:18, 1 May 2016
- <br> 1. Impulse response examples for each of the following systems : linear and non-linear, ca2 KB (299 words) - 09:10, 11 February 2013
- 1. Find out what the impulse response is called in the math literature and then find and state some theorems rela c) Plot Fourier Transform of filter’s impulse response in 3D.4 KB (573 words) - 10:15, 15 May 2013
- a) Calculate the 2-D impulse response, <math>h_1(m,n)</math>, of the first system. b) Calculate the 2-D impulse response, <math>h_2(m,n)</math>, of the second system.3 KB (471 words) - 10:25, 13 September 2013
- ...ith input <math> x(m,n) </math>, output <math> y(m,n) </math>, and impulse response <math> h(m,n) </math>, so that <br \> The impulse response is given by4 KB (739 words) - 10:07, 13 September 2013
- [[Category:Impulse Response]] ...hen presented with a impulse signal input δ(t). In a LTI systems, impulse response is also equivalent to green’s function used in physics.2 KB (322 words) - 23:38, 10 March 2013
- [[Category:Impulse Response]] ''1. Find out what the impulse response is called in the math literature and then find and state some theorems rela2 KB (348 words) - 10:50, 11 March 2013
- [[Category:Impulse Response]] '''1.Impulse response'''1 KB (174 words) - 11:34, 11 March 2013
- ...is analogous to its impulse response since the PSF describes the system's response to a point input (think about a point input as <math>\delta (x,y)</math>). ...ta function. If you take its Fourier transform, you will get the frequency response of the system. Given that your system is space-variant, you will notice tha7 KB (1,274 words) - 07:24, 26 February 2014
- ...the convolution of the autocorrelation of the input with the unit impulse response of the system. ...blems 10.1, 10.2, 10.6, 10.22 (make sure to know how to find the frequency response from the diff. ed.), 10.33a. NOTE THAT YOU CAN USE A [[CT_Fourier_Transform4 KB (545 words) - 07:12, 24 April 2013
- Since there is only one impulse from the sequence that is present in the <math>(-\pi,\pi)</math> interval, ...>. It is possible to center the pulse about <math>n=0</math> and have each impulse aligned with an integer value on the <math>n</math>-axis. This is shown in10 KB (1,726 words) - 07:26, 26 February 2014
- Response from Mickey Rhoades [[User:Mrhoade|Mrhoade]] ...s e<sup>-2t</sup> - e<sup>-3t</sup> and then there is the portion from the impulse function which is added beginning at pi/2, e<sup>pi</sup>e<sup>-2t</sup> -4 KB (757 words) - 08:25, 16 October 2013
- ...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 input4 KB (638 words) - 10:04, 16 October 2013
- Recall that an LTI system can be characterized by its impulse response h(t). ...tem. The impulse response is the output of the system when the input is an impulse or delta function]]</center>8 KB (1,476 words) - 12:13, 21 May 2014
- ...x(t), is the comb of x(t), which is equivalent to multiplying x(t) by the impulse train p<sub>T</sub>(t). ...ses are the same, but it is repeated every 1/T in the sampling's frequency response. In the following example we will see the relationship graphically.<br>4 KB (599 words) - 09:58, 14 March 2015
- ...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 input4 KB (640 words) - 06:37, 3 November 2014
- ...recording of a voiced phoneme is the product of the vocal tract frequency response and the Fourier transform of a pulse-train (a sequence of impulses multipli2 KB (329 words) - 06:44, 24 November 2014
- ...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\righ6 KB (1,002 words) - 01:38, 10 March 2015
- ..."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"5 KB (939 words) - 10:37, 10 March 2015
- ...h>\mathbf{X}(t)</math> through a linear time-invariant system with impulse response <math>h(t)</math> whose Fourier transform <math>H(\omega)</math> has the id ...t)</math> is Gaussian random process, and <math>h(t)</math> is the impulse response of a linear time-invariant system.8 KB (1,336 words) - 01:53, 31 March 2015
- ...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 input4 KB (625 words) - 13:17, 16 November 2015
- We can truncate an ideal filter’s impulse response by using different windowing functions. In lab 7a and lab 7b, some truncati6 KB (1,002 words) - 22:08, 29 November 2015
- *DT impulse response and convolution: 2.24ab *CT impulse response: 2.40707 B (103 words) - 14:02, 24 June 2016
- :c) the system has a well defined and finite frequency response function; :f) the unit impulse response of the system is right-sided;3 KB (481 words) - 15:35, 8 November 2016
- ...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 frequency response of this system using five different approaches.3 KB (503 words) - 15:44, 8 November 2016
- where <math>{\mathcal H}(\omega)</math> is DTFT of unit impulse response h[n] <br /><br /> c) the system has a well defined and finite frequency response function;<br />8 KB (1,336 words) - 15:40, 27 November 2016
- Frequency Response <math>H(\omega)</math> :'''Frequency response'''9 KB (1,559 words) - 14:33, 24 November 2016
- a) Calculate the 2-D impulse response, <math>h_1(m,n)</math>, of the first system. b) Calculate the 2-D impulse response, <math>h_2(m,n)</math>, of the second system.3 KB (478 words) - 18:07, 1 May 2017
- a) Calculate the 2-D impulse response, <math>h_1(m,n)</math>, of the first system. b) Calculate the 2-D impulse response, <math>h_2(m,n)</math>, of the second system.3 KB (466 words) - 21:08, 2 May 2017
- ...position of (S1) and (S2) with input x(m, n) and output z(m,n) and impulse response <math>{{h}_{3}}(m,n)</math>. a) Calculate the 2-D impulse response, <math>{{h}_{1}}(m,n)</math>, of the first system (S1).5 KB (823 words) - 20:43, 2 May 2017
- b) Calculate, <math>h(m,n)</math>, the impulse response of the system with transfer function <math>H(z_1,z_2)</math>3 KB (566 words) - 16:39, 18 May 2017
- ...ill affect the signal in the time-domain. On the other hand, the frequency response will show how the info will be changed in the frequency domain. [[File:Responses.jpg|frameless|Impulse, step, and frequency responses]]6 KB (897 words) - 16:44, 7 December 2017
- ...herapeutic purposes. They are analytical devices that convert a biological response into an electric signal. Biosensor technology incorporates a wide range of ...spectral analysis; design of finite impulse response and infinite impulse response digital filters; processing of random signals. Speech processing; vocal tra12 KB (1,702 words) - 20:48, 9 April 2018
- ...and the unit impulse response h(t), one can either directly calculate the response y(t) via convolution in the time domain, or one can apply the Fourier trans Given: a signal x(t) = cos(2π440t), and the unit impulse response h(t) = δ(t-7)5 KB (865 words) - 16:23, 2 December 2018
- ...method to achieve this is to convolve the audio recording with an impulse response taken from the concert venue, or another location with similar acoustics.341 B (55 words) - 20:19, 2 December 2018
- ...method to achieve this is to convolve the audio recording with an impulse response taken from the concert venue, or another location with similar acoustics. ===Audio Impulse Response===7 KB (1,070 words) - 00:57, 3 December 2018
- An LTI System with impulse response h[n] is BIBO stable if h[n] is absolutely summable.6 KB (1,040 words) - 00:57, 2 December 2019
