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- 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
- Today we analyzed the frequency response of the average filter discussed in the [[Lecture35ECE438F11|previous lectur2 KB (213 words) - 06:32, 11 September 2013
- ...nued our study of the unsharp mark by computing and plotting the frequency response (i.e. the discrete-space Fourier transform) of the corresponding filter. We1 KB (157 words) - 06:33, 11 September 2013
- [[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
- Can you give some extra statistics on the results of the class e.g, frequency distribution of three-types of students as follows:<br /> Response:<br/>25 KB (2,524 words) - 07:19, 25 June 2012
- <math>\color{blue}\text{a) Calculate the frequency response, }H \left( e^{j\mu},e^{j\nu} \right).</math><br> <math>\color{blue}\text{b) Sketch the frequency response for } |\mu| < 2\pi \text{ and } |\nu| < 2\pi \text{ when } T = \frac{1}{2}4 KB (665 words) - 10:25, 13 September 2013
- <math>\color{blue}\text{a) Calculate the frequency response, }H \left( e^{j\mu},e^{j\nu} \right).</math><br> <math>\color{blue}\text{b) Sketch the frequency response for } |\mu| < 2\pi \text{ and } |\nu| < 2\pi \text{ when } T = \frac{1}{2}8 KB (1,206 words) - 10:31, 13 September 2013
- * Frequency Response (H(f)) and its variations3 KB (370 words) - 11:22, 29 May 2013
- ...), remember the pattern repeats itself @ [-pi,pi], and you are sampling in frequency domain accordingly. 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
- [[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
- If you want to look at it in the frequency domain, A larger aperture corresponds to greater bandwidth. Higher frequen ...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>).7 KB (1,274 words) - 07:24, 26 February 2014
- ...ignal is equal to the mean of the input signal multiplied by the frequency response of the system evaluated at f=0. We also briefly stated the fact (Fact 2) th3 KB (390 words) - 07:17, 24 April 2013
- ...the convolution of the autocorrelation of the input with the unit impulse response of the system. ...tive understanding of what the function represent (i.e. expected power for frequency f component of the random signal.)4 KB (545 words) - 07:12, 24 April 2013
- ...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_Transform3 KB (434 words) - 07:02, 24 April 2013
- ...lice Theorem]]. However you do not need to perform any calculations in the frequency domain using this method so it is computationally much faster and is the mo The frequency response of the filter is given by <br/>9 KB (1,486 words) - 07:25, 26 February 2014
- ...makes sense because in the delta function is contains components at every frequency, each of which have the identical amplitude and phase. ...time domain (see above). As explained previously, a psinc function in the frequency domain is the DTFT of a shifted pulse centered about <math>n=0</math>. In o10 KB (1,726 words) - 07:26, 26 February 2014
- ...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 3 (on frequency analysis)]9 KB (1,353 words) - 09:04, 11 November 2013
- #define clock frequency and duty cycle ...s meant by “transparent” (or “data following”) in reference to the response of a latch4 KB (586 words) - 07:32, 26 February 2014
- 2. Characterize noise and periodic signals in the time and frequency domains by using the 54624A oscilloscope and the 4395A spectrum analyzer re ...y domain analysis, oscilloscopes for time domain analysis, and voltmeters, frequency counters., etc.14 KB (2,228 words) - 12:03, 15 January 2014
- ...ponse of the digital filter. Be sure to show how you calculated the cutoff frequency for the digital filter. ...r that will accomplish this. Be sure to show how you calculated the cutoff frequency of the digital filter.3 KB (480 words) - 09:13, 27 September 2013
- ...led "filter B", and analysed its properties using the concept of frequency response and transfer function. We then considered the general class of LTI systems2 KB (300 words) - 05:47, 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
- ...fluence the location of the local maxima of the magnitude of the frequency response of the vocal tract?2 KB (353 words) - 21:19, 31 October 2013
- **notes on frequency response: [http://dynamo.ecn.purdue.edu/~bouman/ece438/lecture/module_1/1.2_systems/ ...38/lecture/module_1/1.5_z_transform/1.5.6_response_of_lti_sys.pdf system's response]6 KB (759 words) - 08:10, 11 November 2013
- Frequency Response <math>H(\omega)</math> Frequency response11 KB (1,764 words) - 12:08, 29 October 2013
- the fourier series than the principal frequency. Dr. Bell in your response above how did you get 2+1+1? I thought it should be 1+1+1 + a sum of square11 KB (1,959 words) - 17:57, 10 November 2013
- Today we analyzed the frequency response of the average filter discussed in the [[Lecture36ECE438F13|previous lectur3 KB (367 words) - 07:27, 15 November 2013
- *[[ECE_438_Fall_2009_mboutin_plotCSFTofbasicfilters|Plot of frequency response of basic image filters]]2 KB (240 words) - 07:14, 22 November 2013
- Recall that an LTI system can be characterized by its impulse response h(t). ..._with_random_inputs.png|450px|thumb|left|Fig 1: An LTI system. The impulse response is the output of the system when the input is an impulse or delta function]8 KB (1,476 words) - 12:13, 21 May 2014
- ** Given the FS coefficients of the input and the frequency response of a system, find the FS coefficients of the output signal. (3.13, 3.14, Qu ** Solve for the output of a system in the frequency domain (4.19, 4.32, 4.30a)6 KB (765 words) - 13:35, 4 August 2016
- ...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 3 (on frequency analysis)]9 KB (1,320 words) - 04:46, 11 September 2014
- ...ponse of the digital filter. Be sure to show how you calculated the cutoff frequency for the digital filter. ...r that will accomplish this. Be sure to show how you calculated the cutoff frequency of the digital filter.3 KB (486 words) - 06:19, 22 September 2014
- <font size="4">Frequency domain view of the relationship between a signal and a sampling of that sig This slecture will discuss the frequency domain view of the relationship between a signal, and a sampling of that si4 KB (599 words) - 09:58, 14 March 2015
- ...to understand the transfer function and its relationship to the frequency response, we need to study the z-transform of a DT signal. We thus finished the lect2 KB (281 words) - 05:51, 22 October 2014
- ...ionship between the zeros/poles of the transfer function and the frequency response of the system.2 KB (247 words) - 05:47, 29 October 2014
- ...). Once we will have looked at the graph of the magnitude of the frequency response of that system, it will be clear what kind of filter this is.2 KB (250 words) - 06:41, 3 November 2014
- ...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
- Frequency Response <math>H(\omega)</math> :'''Frequency response'''11 KB (1,790 words) - 08:52, 10 November 2014
- b) Is the frequency response of your system well defined? If so, what is it? If not, explain why it is n1 KB (210 words) - 07:28, 10 November 2014
- ...fluence the location of the local maxima of the magnitude of the frequency response of the vocal tract?3 KB (462 words) - 07:25, 17 November 2014
- b) Is the frequency response of your system well defined? If so, what is it? If not, explain why it is n <math> f_v = 235 \text{Hz, the frequency of the vuvuzela}</math>5 KB (860 words) - 10:26, 20 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
- ...ete-space LTI system in terms of the input image f[m,n] and the unit input response h[m,n]. We then proceed to demonstrate how to use the formula using an aver We analyzed the frequency response of this average filter. More specifically we computed its discrete-space Fo3 KB (373 words) - 07:08, 24 November 2014
- *[[ECE_438_Fall_2009_mboutin_plotCSFTofbasicfilters|Plot of frequency response of basic image filters]]2 KB (246 words) - 12:37, 1 December 2014
- ...fluence the location of the local maxima of the magnitude of the frequency response of the vocal tract? ...not influence the location of the local maxima. It only affects the pitch frequency.6 KB (1,031 words) - 11:27, 29 November 2014
- *First order circuits: step response *Response classification8 KB (1,126 words) - 11:37, 8 May 2015
- ...based on the Fourier Slice Theorem, there's never a transformation to the frequency domain. Theoretically CBP involves extruding every projection back through The frequency response of the filter is<br />6 KB (927 words) - 19:26, 9 February 2015
- ...e soft tissue of the body. At a magnetic field strength of 1.5T, the Lamor frequency for H is 63 MHz. <br /><br /> <math>\omega_0:</math>= the frequency of procession (Lamor frequency)<br />14 KB (2,487 words) - 19:26, 9 February 2015
- ...tp://cobweb.ecn.purdue.edu/~ipollak/ee438/FALL03/notes/Section1.3_9_26.pdf frequency analysis] ...<span class="texhtml">ω</span> versus Fourier transform as a function of frequency <span class="texhtml">''f''</span> (in hertz).10 KB (1,356 words) - 13:19, 19 October 2015
- ...Continuous-Time Fourier Transform Table]] / [[Media:freq_allocation.pdf|US Frequency Allocation]] <br /> [[Media:exercise_freq_resp.pdf|Exercise Problems on Frequency Response(H(w))]]6 KB (748 words) - 21:35, 10 August 2015
