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- [[Category: Frequency Response]] [[Category: Impulse Response]]2 KB (248 words) - 08:31, 9 March 2011
- [[Category:frequency response]] '''Frequency Response and Difference Equations'''2 KB (401 words) - 17:16, 21 April 2013
- ...w) = H(w)X(w)</math> format. Obviously, <math>H(w)</math> is the frequency response. The following example would illustrate this: Find the frequency response of: <math>y[n] - \frac{3}{4}y[n-1] + \frac{1}{8}y[n-2] = 2x[n]</math>1 KB (197 words) - 10:50, 24 October 2008
- ==CT Frequency Response== Then the frequency response H(jw):822 B (164 words) - 18:11, 24 October 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
Page text matches
- ##[[Unit step response of an LTI system_(ECE301Summer2008asan)|Unit step response of an LTI system]] ##[[Response of LTI systems to complex exponentials_(ECE301Summer2008asan)|Response of LTI systems to complex exponentials]]7 KB (921 words) - 06:08, 21 October 2011
- ...(t) is the input to a particular LTI system characterized by the frequency response4 KB (815 words) - 10:57, 21 November 2008
- ...the process of taking the value of the frequency response function at each frequency of the coefficients and then multiplying by that value to yield the transfo842 B (120 words) - 12:21, 9 December 2008
- ...led by the <math> \left|\omega_0\right|\ </math>. Therefore, the frequency response of the system is Taking the inverse Fourier transform of the frequency response, we obtain4 KB (688 words) - 12:34, 11 December 2008
- [[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
- | align="right" style="padding-right: 1em;" | Friday || 01/23/09 || Frequency Response || 1.2.3 ...1em;" | Monday || 02/02/09 || Relation between CTFT and DTFT || 1.4.2 || Frequency analysis6 KB (689 words) - 07:59, 2 August 2010
- To find the the overall frequency response F(w) for this system, I assumed the up/down samplers canceled each other ou2 KB (383 words) - 21:03, 10 February 2009
- Plot of the frequency response of the average filter: Plot of the frequency response of the filter:950 B (132 words) - 11:52, 28 April 2009
- ==Frequency analysis== *[http://vise.www.ecn.purdue.edu/VISE/ee438L/lab3/pdf/lab3.pdf :ab on frequency analysis]8 KB (1,226 words) - 11:40, 1 May 2009
- == 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
- 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
- Unit Impulse Response: <math>h(t) = K \delta(t)</math> Frequency Response:1,003 B (203 words) - 12:33, 25 September 2008
- == Unit Impulse Response == == Frequency Response ==1 KB (242 words) - 13:11, 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
- 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
- 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
- * [[Zachary Curosh - Frequency Response and Difference Equations _ECE301Fall2008mboutin]] * [[Bavorndej Chanyasak - Frequency Response_ECE301Fall2008mboutin]]3 KB (406 words) - 11:28, 16 September 2013
- 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
- [[Category:frequency response]] '''Frequency Response and Difference Equations'''2 KB (401 words) - 17:16, 21 April 2013
- ...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
- ...w) = H(w)X(w)</math> format. Obviously, <math>H(w)</math> is the frequency response. The following example would illustrate this: Find the frequency response of: <math>y[n] - \frac{3}{4}y[n-1] + \frac{1}{8}y[n-2] = 2x[n]</math>1 KB (197 words) - 10:50, 24 October 2008
- --What is the frequency response of the general form system described above. ...of a system with input X in the frequency domain the output signal is the frequency (a constant) times the input signal.3 KB (465 words) - 14:38, 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
- == Frequency Response ==221 B (35 words) - 16:30, 24 October 2008
- ==CT Frequency Response== Then the frequency response H(jw):822 B (164 words) - 18:11, 24 October 2008
- ...words, evaluated on the unit circle. In order to determine the frequency response of the system the Z-transform must be evaluated on the unit circle, meaning3 KB (537 words) - 17:27, 3 December 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
- [[Frequency Response Example_Old Kiwi]]868 B (154 words) - 17:36, 30 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
- ...alt="tex:\displaystyle\left|\omega_0\right|"/>. Therefore, the frequency response of the system is Taking the inverse Fourier transform of the frequency response, we obtain4 KB (683 words) - 21:46, 6 April 2008
- ##[[Unit step response of an LTI system_Old Kiwi]] ##[[Response of LTI systems to complex exponentials_Old Kiwi]]4 KB (531 words) - 11:32, 25 July 2008
- ...(t) is the input to a particular LTI system characterized by the frequency response4 KB (803 words) - 11:10, 22 July 2008
- ...tp://cobweb.ecn.purdue.edu/~ipollak/ee438/FALL03/notes/Section1.3_9_26.pdf frequency analysis] ***[http://vise.www.ecn.purdue.edu/VISE/ee438L/lab3/pdf/lab3.pdf Lab on frequency analysis]9 KB (1,237 words) - 09:29, 5 October 2009
- * Finding [[LTI system properties]] from the impulse response * [[Fundamental period/frequency]]1 KB (152 words) - 04:06, 23 July 2009
- Plot of the frequency response of the average filter: Plot of the frequency response of the filter:1 KB (163 words) - 12:50, 26 November 2014
- ...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? --[[ ...involves a lot of integration and alternation between the time domain and frequency domain (the course requires that you become pretty familiar with both domai14 KB (2,366 words) - 17:32, 21 April 2013
- ...charts, graphs etc.; standard clip-art Other characteristics to consider: Frequency, Regularity, Continuity, ...he interaction. User action: Shows what the user does in the system System response: describes how the system responds to the user's actions<br>8 KB (1,202 words) - 09:18, 9 April 2010
- ...urce transformation; Thevenin's and Norton's theorems; superposition. Step response of 1st order (RC, RL) and 2nd order (RLC) circuits. Phasor analysis, impeda Frequency-shift: L[e-at f(t)u(t)] = F(s+a)<br/>6 KB (873 words) - 17:02, 15 April 2013
- ...uency response of single and multistage amplifiers. High frequency and low frequency designs are emphasized. <br/><br/> <br/><br/>8. High frequency transistor models and the frequency response of small signal amplifiers.2 KB (328 words) - 06:59, 4 May 2010
- ...d''': Classification, analysis and design of systems in both the time- and frequency-domains. Continuous-time linear systems: Fourier Series, Fourier Transform, <br/>ii. an ability to determine the the impulse response of a differential or difference equation.3 KB (394 words) - 07:08, 4 May 2010
- ...amplitude of the signal at that frequency (such a distribution is called a frequency spectrum).<br>It is thus a technique that can be used to describe almost an ...TFT( continuous time fourier transform) is continuous in both the time and frequency domain. Give example here.13 KB (2,348 words) - 13:25, 2 December 2011
- ...tp://cobweb.ecn.purdue.edu/~ipollak/ee438/FALL03/notes/Section1.3_9_26.pdf frequency analysis] ***[http://vise.www.ecn.purdue.edu/VISE/ee438L/lab3/pdf/lab3.pdf Lab on frequency analysis]9 KB (1,331 words) - 07:15, 29 December 2010
- In order to get rid of aliasing, what is the cut-off frequency of the low pass filter? Explain your answer. ...or with discrete input x[n]. Assume that the low pass filter has frequency response2 KB (373 words) - 10:41, 11 November 2011
- ...ath>, whose frequency response is a ideal low-pass filter with the cut-off frequency of <math>1/(2T)</math>. ...requency for the impulse train was <math>F_s=1/T</math>. Thus the sampling frequency must be larger than <math>2B</math>, in order to avoid aliasing when recons4 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
- ...ant properties of such systems, which led us to the concepts of "Frequency Response" and "Transfer function" of a system. We then defined a simple filter with867 B (122 words) - 16:21, 8 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
- b. Find the frequency response <math>H(w)</math> from the difference equation: c. Find the response of this system to the input x[n]:2 KB (437 words) - 12:00, 19 October 2010
- Using the DTFT formula, let assume that <math>H(w)</math> is the frequency response of <math>h[n]</math> such that This implies that the frequency response of <math>h^{\ast}[n]</math> is <math>H^{\ast}(-w)</math>.1 KB (255 words) - 12:03, 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}{5}</math>1 KB (202 words) - 17:50, 20 October 2010
- ...eat evolve for a fixed amount of time), and we observed that the frequency response of this system has low-pass characteristics. We then discretized this diffe2 KB (260 words) - 12:42, 22 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
- Using the DTFT formula, let assume that <math>X(w)</math> is the frequency response of <math>x[n]</math> such that This implies that the frequency response of <math>x^{\ast}[n]</math> is <math>X^{\ast}(-w)</math>.1 KB (255 words) - 19:04, 26 October 2010
- Frequency Response H_1(<span class="texhtml">ω</span>),<br> <math>\begin{align} Frequency Response H_2(<span class="texhtml">ω</span>),<br> <math>\begin{align}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
- 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
- c. Find a simple expression for the frequency response H(<math>\mu ,\nu</math>) of this filter.<br/>3 KB (398 words) - 10:43, 11 November 2011
- The PSD gives the average distribution of power in frequency for a random process. ...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\rig ...\left(t\right)</math> acts as a crude low-pass filter that attenuates high-frequency power.3 KB (498 words) - 07:16, 1 December 2010
- 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
- ==Frequency analysis:== The frequency analysis shows that human voice range is approximately 80Hz-700Hz.3 KB (409 words) - 08:53, 11 November 2013
- What is the frequency response of this system? Recall: === Differentiation in frequency property ===10 KB (1,788 words) - 09:22, 11 April 2013
- ...se and Difference Equations ECE301Fall2008mboutin|How to get the frequency response of a system defined by a difference equation]]6 KB (818 words) - 06:12, 16 September 2013
- ...response" of an LTI system and discussed how it can be used to compute the response of an LTI system to a periodic signal. This "filtering" view of the process1 KB (187 words) - 14:11, 28 February 2011
- ...uared. So this is not the same as computing the energy of the unit impulse response h[n]. -pm </span> ...system cannot be LTI, since <math>y(t)</math> is a sin wave with different frequency than <math>x(t)</math>.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
- ...then used these properties 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
- The frequency response of the system can be written as:10 KB (1,817 words) - 11:34, 7 March 2011
- ...r:red"> 5 points </span>. Since the question states "compute the frequency response", the answer should include a computation. Give no more than 2 points if on b) <span style="color:red"> 20 points </span> Compute the system's response to the input <math class="inline">x(t)= e^{-2(t-2)} u(t-2) </math>.7 KB (1,161 words) - 18:50, 4 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
- ...urse notes. Locate the place where we got the expression for the frequency response from a difference equation. Look at all the steps we carried out in order t for question 5, I'm having a hard time dealing with the second frequency response. The bottom is not factorable, and I'm not sure how to deal with it. If i1 KB (258 words) - 06:25, 11 March 2011
- ...he system is the inverse Fourier transform of the product of the frequency response of the system and the Fourier transform of the input. An answer that either ...: multiply the two frequency response and invert, or invert each frequency response and convolve the respective results. Both methods can receive full credit,6 KB (1,090 words) - 07:36, 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 ...artifacts; event detection, analysis of waveshape and waveform complexity; frequency domain characterization of signals and systems; modeling biomedical signal-17 KB (2,368 words) - 10:53, 6 May 2012
- ...uency response of the CT system we are trying to emulate and the frequency response of the DT system use to process the samples.1 KB (176 words) - 16:00, 30 March 2011
- ...uency response of the CT system we are trying to emulate and the frequency response of the DT system use to process the samples. Make sure to remember this rel1 KB (196 words) - 16:04, 30 March 2011
- Using frequency shift property of FT, we get: ...ass="texhtml">''x''<sub>''d''</sub>[''n''] = ''x''(''n''''T'')</span> is a frequency-rescaled version of this graph (in such a way to obtain a signal that is pe9 KB (1,462 words) - 07:01, 22 April 2011
- ...''t''</sub> = ω<sub>''M''</sub> = 1000π</span> and gain 2. The frequency response of this low pass filter is: Note that the cut-off frequency of the low pass filter can actually be anywhere between <span class="texhtm12 KB (2,109 words) - 05:58, 22 April 2011
- Use CTFT to find the frequency response2 KB (378 words) - 10:30, 11 November 2011
- ...ghtly bigger than 3pi, there will not actually be overlap in the frequency response, so it can be filtered later.<br>2 KB (333 words) - 10:29, 11 November 2011
- ...t comes out in this chapter is that the author has a tendancy to represent frequency as 2πf as opposed to ω 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
- ...tp://cobweb.ecn.purdue.edu/~ipollak/ee438/FALL03/notes/Section1.3_9_26.pdf frequency analysis] ***[http://vise.www.ecn.purdue.edu/VISE/ee438L/lab3/pdf/lab3.pdf Lab on frequency analysis]9 KB (1,341 words) - 03:52, 31 August 2013
- ...side of an arbitrary window, signals which are not one or two sided in the frequency domain)2 KB (326 words) - 12:38, 26 November 2013
- ...e zeros of the transfer function influenced the amplitude of the frequency response.998 B (143 words) - 06:27, 11 September 2013
- ...of the transfer function of this filter and the amplitude of its frequency response.953 B (132 words) - 06:27, 11 September 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 input5 KB (916 words) - 03:56, 31 August 2013
- ...that system. We also covered several different ways to make sure that the response of an LTI system to real input signals is always a real signal. We finished1 KB (221 words) - 06:28, 11 September 2013
- Frequency Response <math>H(\omega)</math> Frequency response11 KB (1,757 words) - 11:15, 30 October 2011
- ...ment, we investigated the effect of the LPF by comparing the difference in frequency domain and human ear perception of the signal with/without passing though a In the frequency domain, we will have10 KB (1,707 words) - 10:44, 6 May 2012
- **[[Practice_Question_4_ECE438F10|Practice Question on frequency domain view of sampling)]] ...ribe a LTI system using Difference equation, transfer function and impulse response]] <br/>6 KB (801 words) - 22:04, 19 April 2015
