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  • News
    * May, 2009: Zach finished the transfer of the remaining pages from the Old Kiwi as an exercise in learning Rhea fo * January 12, 2009: The "recent changes by category" function has been enabled. You can use it to list the changes that relate to a speci
    10 KB (1,507 words) - 04:36, 24 August 2011
  • HW4.4 Tyler Houlihan ECE301Fall2008mboutin
    ...laplace transform of this function to get <math>H(s)\,</math>, the system function. My original function:
    1 KB (235 words) - 15:29, 25 September 2008
  • Tyler Houlihan: Chapter 7 Notes ECE301Fall2008mboutin
    We can use a transfer function to approximate this filter, and it is: This isolates the range, and if the convolution was ideal, this function should only have a value when k=0, which would yield:
    3 KB (543 words) - 17:23, 10 November 2008
  • Peer Legacy ECE202
    *Be sure to get the full story on the dirac function, convolution, bode plot approximations, and linearity. Don't rely on memori ...nsed and that made it more focussed towards laying foundation for ECE 301. Transfer functions, Laplace domain analysis, Convolution etc. are concepts used in a
    7 KB (1,297 words) - 11:41, 10 December 2011
  • Student summary speech
    ...language and have different accents and because the phonemes have the same function. The end result after modeling is a transfer function that is an all-pole filter with a gain and a time delay.
    5 KB (841 words) - 15:26, 10 April 2013
  • SupplementarySpeech prelecture
    - Going through tube delays the signal (show function) - between tubes (show function)
    2 KB (390 words) - 07:46, 14 November 2011
  • SupplementalSpeech prelecture
    - Going through tube delays the signal (show function) - between tubes (show function)
    2 KB (387 words) - 07:47, 14 November 2011
  • Snikitha ListECE202
    ...d average power, complex power, power factor correction, and maximum power transfer. Instantaneous and average power. <br/><br/> i. an ability to define and explain the meaning/function of charge, current, voltage, power, energy, R, L, C, the op amp, and the fu
    6 KB (873 words) - 17:02, 15 April 2013
  • Lecture32ECE438F10
    ...length connected to a tube of zero diameter. We observed that the transfer function of such a system is an all pole filter cascaded with a time delay. The pole
    1 KB (151 words) - 12:53, 8 November 2010
  • Hw5ECE438 discussion
    ...pulse response just be the convolution of a unit impulse with the transfer function ho(t) (given on pg 521 fig 7.7 of Oppenheim-Willsky)?
    1 KB (159 words) - 03:56, 29 September 2010
  • Lecture20ECE438F10
    ...ystems, which led us to the concepts of "Frequency Response" and "Transfer function" of a system. We then defined a simple filter with low-pass characteristics
    867 B (122 words) - 16:21, 8 October 2010
  • Lecture22ECE438F10
    ...oles/zeros with either representation (using a change of variable when the function is in terms of 1/z). We then began talking about systems defined by differe
    2 KB (393 words) - 07:25, 25 October 2010
  • Hw7ECE438F10
    Obtain the frequency response and the transfer function for each of the following systems: Consider a causal LTI system with transfer function
    4 KB (661 words) - 11:22, 30 October 2011
  • Lecture23ECE438F10
    ...ich the frequency response is well defined, then the poles of the transfer function should all be inside the unit circle in the complex plane.
    2 KB (329 words) - 12:04, 18 October 2010
  • ECE438 Week9 Quiz
    The transfer function for this filter is given by <math> H(z) = (1-e^{j\theta}z^{-1})(1-e^{-j\the
    3 KB (480 words) - 10:42, 11 November 2011
  • Lecture24ECE438F10
    ...e, we continued talking about filters and filter design using the transfer function. It seems like many students find it difficult to see the point of this stu
    1 KB (174 words) - 03:53, 21 October 2010
  • Practice Question 5 ECE438F10
    * Transfer function
    2 KB (322 words) - 13:00, 26 November 2013
  • ECE438 Week10 Quiz
    :a. Compute the transfer function <math>H(z)</math>, and find its poles and zeros. a. Compute the transfer function. Plot the zero-pole graph of H(z) and declare the ROC.
    3 KB (479 words) - 10:42, 11 November 2011
  • ECE438 Week10 Quiz Q4sol
    ...ilter represented by this difference equation is IIR. Because the transfer function has one non-zero pole that is not cancelled out by any zero.
    2 KB (441 words) - 05:42, 28 October 2010
  • ECE438 HW7 Solution
    ...between the DFT and the Fourier series coefficients of continuous periodic function x[n]? <br> The DFT of a sampled signal x[n] of length N is directly proport Function's period N = 3, <br> Using IDFT, <br> <math>\begin{align}
    19 KB (3,208 words) - 11:23, 30 October 2011
  • ECE438 Week11 Quiz
    ...n for the 8-pt DFT of <math>h[n]</math>, denoted <math>H_8[k]</math>, as a function of <math>k</math>. Simplify as much as possible. Q3. Consider a causal LTI system with transfer function
    3 KB (462 words) - 10:42, 11 November 2011
  • ECE438 Week11 Quiz Q1sol
    The transfer function of the first and second systems are Then, the transfer function of the combined system, <math>(T_1+T_2)[x[n]]</math> is
    1 KB (206 words) - 08:52, 4 November 2010
  • ECE438 Week11 Quiz Q5sol
    Suppose the transfer function of the filter has the form Therefore, the transfer function is
    2 KB (279 words) - 17:23, 3 November 2010
  • ECE600 QE 2001 January
    ..._{t}</math> be the input to a linear shift-invariant system with transfer function: Find the autocorrelation function of the input process.
    6 KB (1,093 words) - 08:23, 27 June 2012
  • ECE438 Week14 Quiz
    Q1. Assume we know (or can measure) a function <br/> ...he definition of the CSFT, derive an expression for F(u,0) in terms of the function p(x).
    3 KB (515 words) - 10:43, 11 November 2011
  • Lecture39ECE438F10
    ...n of the vocal tract as a sequence of tubes and the corresponding transfer function.
    629 B (88 words) - 05:05, 6 December 2010
  • HW4 ECE301 Spring2011 Prof Boutin
    a) Compute the transfer function of this system. a) Compute the transfer function of this system.
    4 KB (663 words) - 15:15, 12 February 2011
  • ECE301 signals systems learning material
    ...mboutin_Fourier_Coefficient_LTI_Transfer|Fourier coefficients and transfer function]] ...Non-Periodic Functions ECE301Fall2008mboutin|Animated example of periodic function]]
    6 KB (818 words) - 06:12, 16 September 2013
  • HW4 ECE301 Spring2011 Prof Boutin Solutions
    b) Yes. The system could be LTI since the transfer function might be zero at this frequency and thus it will suppress it.
    12 KB (2,321 words) - 10:13, 3 March 2011
  • Causal LTI System Difference Equation no1 ECE301S11
    ...lex exponential is the same complex exponential multiplied by the transfer function evaluated at the frequency of the complex exponential. The following is a b
    5 KB (793 words) - 10:28, 11 November 2011
  • ECE301inBME
    **Signal processing and filtering algorithms to create stethoscopes that function in high-noise environments such as helicopters and ambulances ...oys interdisciplinary engineering approaches to examine and manipulate the function and behavior of the nervous system. &nbsp;Concepts used include computation
    17 KB (2,368 words) - 10:53, 6 May 2012
  • ECE438 Lab Quizpool
    ...E438_Week11_Quiz|Describe a LTI system using Difference equation, transfer function and impulse response]] <br/>
    900 B (121 words) - 10:39, 11 November 2011
  • Compute DFT practice no1 ECE438F11
    From DFT transfer pair, <math>X[k]=10\delta[k-1]</math>. repeated with period 10. This corresponds to X[k] being a delta function whose argument is [k+1].
    4 KB (735 words) - 14:19, 21 April 2013
  • Lecture22ECE438F11
    ...ular, we noted how the location of the poles and the zeros of the transfer function influenced the amplitude of the frequency response.
    998 B (143 words) - 06:27, 11 September 2013
  • Lecture23ECE438F11
    ...lationship between the location of the poles and the zeros of the transfer function of this filter and the amplitude of its frequency response.
    953 B (132 words) - 06:27, 11 September 2013
  • Lecture24ECE438F11
    ...ditions to uniquely specify the system. We also observed that the transfer function of causal systems defined by constant coefficient difference equation is th [[Category:transfer function]]
    1 KB (142 words) - 06:27, 11 September 2013
  • Hw6 ECE438F11
    ...response, and indicate the location of the poles and zeros of the transfer function. Consider a causal LTI system with transfer function
    5 KB (916 words) - 03:56, 31 August 2013
  • Lecture25ECE438F11
    ...>: the values of <math>\xi</math> that correspond to poles of the transfer function (including poles at infinity) can then be transformed into the correspondin [[Category:transfer function]]
    1 KB (221 words) - 06:28, 11 September 2013
  • Lecture26ECE438F11
    Having discussed how (by specify the zeros and poles of the transfer function) one can design a causal approximation of an ideal filter, we moved on to a [[Category:transfer function]]
    1 KB (164 words) - 06:30, 11 September 2013
  • Hw6 ECE438F11sln
    ...g Z-transform on both sides and grouping terms, we can obtain the transfer function ...g Z-transform on both sides and grouping terms, we can obtain the transfer function
    11 KB (1,757 words) - 11:15, 30 October 2011
  • Lecture30ECE438F11
    ...e of these natural frequencies are prescribes by the poles of the transfer function of the vocal tract (which are induced by the transition between tubes of di
    1 KB (182 words) - 06:31, 11 September 2013
  • Digital signal processing practice problems list
    ...ga to f step function|Obtain the Fourier transform in terms of f of a step function (from FT in terms of omega)]] ...T computation rect ECE438F11|What is the Fourier transform of this DT rect function?]]
    6 KB (801 words) - 22:04, 19 April 2015
  • Upsampling and downsampling lab
    ...by a fraction number. Thus the goal of this project is to design a Matlab function to mutiply the input signal frequency by a fraction to make a arbitary chan ...le by factor 3. To avoid aliasing, the filter was build by MATLAB embedded function "fir1" with order= 20, cut-of frequency =1/5.
    2 KB (389 words) - 06:37, 25 September 2013
  • ECE PhD QE CNSIP Jan 2001 Problem1
    ..._{t}</math> be the input to a linear shift-invariant system with transfer function: '''(c) (5 pts)''' Find the autocorrelation function of the input process.
    4 KB (616 words) - 10:19, 13 September 2013
  • ECE PhD QE CNSIP Jan 2001 Problem1.4
    ..._{t}</math> be the input to a linear shift-invariant system with transfer function:
    2 KB (234 words) - 10:37, 13 September 2013
  • QE2012 AC-3 ECE580-4
    We can transfer the problem to the following standard form: ...3,</span> <span class="texhtml">''x''<sub>2</sub> = 6,</span> maximize the function.
    5 KB (593 words) - 10:12, 13 September 2013
  • ECE301 Bonus 2 Li Pang Mo
    ...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
  • ECE637 optical imaging systems space domain models S13 mhossain
    ...the lens for a given aperture by its impulse response. Its '''Point Spread Function (PSF)''' is analogous to its impulse response since the PSF describes the s The PSF will be denoted by the function <math>h(x,y)</math> in the space domain. Its CSFT will be given by <math>H(
    7 KB (1,274 words) - 07:24, 26 February 2014
  • ECE270 Slecture Wayner Digital System Design Objectives Module 4
    #write the equation for the carry out function of an arbitrary CLA bit position #describe the purpose/function of each basic machine instruction (LDA, STA, ADD, SUB, AND, HLT)
    6 KB (936 words) - 07:32, 26 February 2014
  • Lecture24ECE438F13
    ...values for the output; initial values for h[n]; causality; ROC of transfer function).
    2 KB (300 words) - 05:47, 16 October 2013
  • HW8ECE438F13
    ...response, and indicate the location of the poles and zeros of the transfer function. Consider a causal LTI system with transfer function
    4 KB (638 words) - 10:04, 16 October 2013
  • HW9ECE438F13
    Why do the poles of the transfer function of the vocal tract always come in complex conjugate pairs? Explain. We have seen that the transfer function of the vocal tract for voiced phonemes has poles (which create the formants
    2 KB (353 words) - 21:19, 31 October 2013
  • Hw8 ECE438F13sln
    ...g Z-transform on both sides and grouping terms, we can obtain the transfer function ...g Z-transform on both sides and grouping terms, we can obtain the transfer function
    11 KB (1,764 words) - 12:08, 29 October 2013
  • Lecture30ECE438F13
    ...tubes of same length but different cross-areas. We noted that the transfer function contained ...ationship between the mathematical espression we obtained for the transfer function and the action of the vocal tract on a pulse-train of air flow to produce v
    2 KB (281 words) - 05:54, 30 October 2013
  • HW10ECE438F13
    a) Obtain the transfer function of this model of the vocal tract. (You may use the matrix equations for the Not to mention, this would change the transfer function as well as the number of formants.
    2 KB (297 words) - 14:37, 24 November 2013
  • Hw9 ECE438F13sln
    ...)/Q(z), where P(z) and Q(z) are polynomial, then the poles of the transfer function are the zeros of the polynomial Q(z). But Q(z) has real coefficients (Since
    1 KB (258 words) - 12:16, 7 November 2013
  • Hw10 ECE438F13sln
    b) From the transfer function, we can see that there are three poles. If the poles are all real, there ar *The expression for the transfer function is incorrect. First off, there are three tubes the air must go through, and
    14 KB (2,070 words) - 19:28, 18 November 2013
  • Fourier Transform as a FUnction of Frequency w versus Frequency f in Hertz review
    ...nction of Frequency w versus Frequency f (in Hertz)|Fourier Transform as a Function of Frequency w Versus Frequency f (in Hertz)]] </font> ...rier transform as a function of frequency ω versus Fourier transform as a function of frequency f. It would be better if you mention the formula delta(af) = 1
    5 KB (907 words) - 05:30, 15 October 2014
  • Lecture36ECE438F14
    ...tubes of same length but different cross-areas. We noted that the transfer function contained ...ationship between the mathematical espression we obtained for the transfer function and the action of the vocal tract on a pulse-train of air flow to produce v
    2 KB (279 words) - 06:37, 19 November 2014
  • Lecture23ECE438F14
    ...quency response and transfer function. In order to understand the transfer function and its relationship to the frequency response, we need to study the z-tran
    2 KB (281 words) - 05:51, 22 October 2014
  • Lecture27ECE438F14
    ...em. We emphasized the relationship between the zeros/poles of the transfer function and the frequency response of the system.
    2 KB (247 words) - 05:47, 29 October 2014
  • HW8ECE438F14
    ...response, and indicate the location of the poles and zeros of the transfer function. Consider a causal LTI system with transfer function
    4 KB (640 words) - 06:37, 3 November 2014
  • HW8ECE438F14 Soln
    ...g Z-transform on both sides and grouping terms, we can obtain the transfer function ...g Z-transform on both sides and grouping terms, we can obtain the transfer function
    11 KB (1,790 words) - 08:52, 10 November 2014
  • HW9ECE438F14
    Obtain the transfer function of a system that attenuates the sound of vuvuzelas in the digital recording a) Write the expression for the transfer function of your system. (Do not forget to specify the ROC.)
    1 KB (210 words) - 07:28, 10 November 2014
  • HW10ECE438F14
    a) Obtain the transfer function of this model of the vocal tract. (You may use the matrix equations for the Why do the poles of the transfer function of the vocal tract always come in complex conjugate pairs? Explain.
    3 KB (462 words) - 07:25, 17 November 2014
  • HW9ECE438F14 Soln
    Obtain the transfer function of a system that attenuates the sound of vuvuzelas in the digital recording a) Write the expression for the transfer function of your system. (Do not forget to specify the ROC.)
    5 KB (860 words) - 10:26, 20 November 2014
  • Lecture37ECE438F14
    ...er. This is because, according to our sequence of tube model, the transfer function of the DT system representing the vocal tract is rational and has no zeros.
    2 KB (329 words) - 06:44, 24 November 2014
  • HW10ECE438F14 Soln
    a) Obtain the transfer function of this model of the vocal tract. (You may use the matrix equations for the Why do the poles of the transfer function of the vocal tract always come in complex conjugate pairs? Explain.
    6 KB (1,031 words) - 11:27, 29 November 2014
  • HW9ECE38F15
    ...response, and indicate the location of the poles and zeros of the transfer function. Consider a causal LTI system with transfer function
    4 KB (625 words) - 13:17, 16 November 2015
  • HW10ECE38F15
    a) Obtain the transfer function of this model of the vocal tract. (You may use the matrix equations for the Why do the poles of the transfer function of the vocal tract always come in complex conjugate pairs? Explain.
    3 KB (449 words) - 11:39, 20 November 2015
  • HW9ECE438F15 Soln
    ...g Z-transform on both sides and grouping terms, we can obtain the transfer function ...g Z-transform on both sides and grouping terms, we can obtain the transfer function
    11 KB (1,782 words) - 00:17, 23 November 2015
  • Introduction of Optical Character Recognition (ORC)
    ...ition (OCR) serves as a tool to detect information from natural images and transfer them into machine-coded texts, such as words, symbols and numbers. It is st *In this page, I would like to introduce a basic and simple method to transfer typed alphabets or numbers into machine coded texts.
    8 KB (1,405 words) - 22:56, 27 November 2016
  • HW8ECE438F16
    Below we describe the ROAC of the transfer function of an LTI system. For each ROAC, determine which of these system properties :c) the system has a well defined and finite frequency response function;
    3 KB (481 words) - 15:35, 8 November 2016
  • HW9ECE438F16
    ...response, and indicate the location of the poles and zeros of the transfer function. Consider a causal LTI system with transfer function
    3 KB (503 words) - 15:44, 8 November 2016
  • Mock up midterm exam with solution
    ...of the properties that apply.) Below we describe the ROAC of the transfer function of an LTI system.<br /> c) the system has a well defined and finite frequency response function;<br />
    8 KB (1,336 words) - 15:40, 27 November 2016
  • The Z-transform
    Usually for systems we have transfer functions which have the forms:<br /> ...is greater than zero for positive values of n as defined by the unit step function. So for example x[n] could be x[n]=(2^n)*u[n-1] which is a right sided sign
    10 KB (1,800 words) - 10:41, 27 November 2016
  • HW10ECE438F16
    a) Obtain the transfer function of this model of the vocal tract. (You may use the matrix equations for the Why do the poles of the transfer function of the vocal tract always come in complex conjugate pairs? Explain.
    3 KB (460 words) - 13:20, 18 November 2016
  • HW9ECE438F16sln
    ...g Z-transform on both sides and grouping terms, we can obtain the transfer function ...g Z-transform on both sides and grouping terms, we can obtain the transfer function
    9 KB (1,559 words) - 14:33, 24 November 2016
  • HW10ECE438F16sln
    a) Obtain the transfer function of this model of the vocal tract. (You may use the matrix equations for the ...)bj, and b can be 0 in the case of a double real root.) Thus, the transfer function has 6 poles: 3 in the upper complex plane, and 3 in the lower complex plane
    7 KB (1,236 words) - 17:19, 29 November 2016
  • The Laurent Series in DSP
    The Laurent Series is a way to describe any analytic function that has its domain on the complex plane. Much like the Taylor Series it is ...ed like the complex equivalent of smoothness. A '''pole''' is a point on a function's domain that is undefined.
    6 KB (931 words) - 23:40, 23 April 2017
  • QE637 sol2012 Q2
    d) Calculate the 2-D transfer function, <math>{{H}_{1}}({z}_{1},{z}_{2})</math>, of the first system (S1). e) Calculate the 2-D transfer function, <math>{{H}_{3}}({z}_{1},{z}_{2})</math>, of the first system (S3).
    5 KB (823 words) - 20:43, 2 May 2017
  • ECE-QE CS5-2014
    ...tial equation which describes the behavior of <math> \lambda_x</math> as a function of <math> x </math>. ...<math> H(z_1,z_2) = \frac{Y(z_1,z_2)}{X(z_1,z_2)}</math>, the 2D transfer function of the casual system. Make sure to express your result in factored form.
    3 KB (566 words) - 16:39, 18 May 2017
  • 3D Visualization of Z-Transform
    However, if we made this plot in 3D, the entire transfer function will be clearer and more straightforward. Any point that has no value(zeros
    2 KB (310 words) - 21:40, 30 November 2017
  • 3-D Visualization of Z-Transform
    However, if we made this plot in 3D, the entire transfer function will be clearer and more straightforward. Any point that has no value(zeros
    2 KB (310 words) - 21:44, 30 November 2017
  • Characteristic Analysis of Simply Distortion Pedal
    Unable to compute the original transfer functions, I replaced the reference point of 4.5V with 0V, and I assumed th ...h paper and finalized through WolframAlpha, I was able to attain following transfer functions:
    5 KB (752 words) - 16:44, 2 December 2017
  • Characteristic Analysis of a Simply Distortion Pedal
    Unable to compute the original transfer functions, I replaced the reference point of 4.5V with 0V, and I assumed th ...h paper and finalized through WolframAlpha, I was able to attain following transfer functions:
    3 KB (499 words) - 03:53, 2 December 2017
  • Summary of Facts about ROC/ROAC of a Z-Transform
    | Causal|| The transfer function of the system converges at z= infinity. Z=infinity is included in ROC. (Fac | BIBO Stable ||ROC of the transfer function includes the unit circle.(Fact 7)
    967 B (143 words) - 13:22, 3 December 2017
  • Z-transform in linear feedback analysis of systems
    ...stem, the steps involved in determining the output are set up the transfer function, get it in the form of Y(Z) = H(Z)X(Z) and use the inverse z transform to d
    396 B (64 words) - 15:33, 3 December 2017
  • ECE PhD QE PE1 2013 Problem3 8
    ...magnetic flux linkage <math>\lambda</math> no longer to be a single-valued function of current <math>i</math>. (An equivalent statement can be made for <math>\ <math>\boxed{\text{Flux linkages must be a function of mechanical position}}</math>
    4 KB (667 words) - 14:50, 19 February 2018
  • Signals, Systems, and Biomedical Engineering
    ....), direct the patient to take specific action, or automatically perform a function based on what the sensors are reading. Examples of these include:
    12 KB (1,702 words) - 20:48, 9 April 2018
  • QE2007 AC-1 ECE382
    1. (10 pts) Find the transfer function <math> X(s)/U(s) </math> of the block diagram, shown in Figure 1. <br/> ...s) A negative unity feedback closed-loop system has the open-loop transfer function <br/>
    7 KB (1,007 words) - 00:58, 24 February 2019
  • ECE438f19svezhavebonus
    ...lyzing a simplified physical model and deriving the corresponding transfer function. The same thing can be done for other types of sounds, both more complex an
    3 KB (546 words) - 23:43, 1 December 2019
  • Ece438f19glakebonus
    ...t have a DTFT, analyzing LTI system stability, and looking at the transfer function characteristics among other uses. ...can could then be decomposed by long division or partial fractions into a function of z that diverges in the region |z| > z<sub>0</sub> and <math>\infty</math
    6 KB (1,040 words) - 00:57, 2 December 2019
  • Creating your own vowel resonators using tubing
    ...nsform and putting the equations in matrix form we can obtain the transfer function of the time delay. In matrix form the equation for time delay can be shown ...es of flow continuity and pressure continuity the equation of the transfer function of a tube junction is shown below:
    5 KB (849 words) - 02:10, 10 December 2019
  • Laplace Operator Page 2 2020
    ...th>\Delta</math>, is defined as the divergence of the gradient of a scalar function. The Laplacian can be written as: where <math>f</math> is an <math>n</math>–dimensional scalar function. In other words, the Laplace operator is defined as the sum of all non-mixe
    4 KB (619 words) - 02:06, 6 December 2020
  • Swanson MA279 Fall2022 topic3
    ...ing the art style of one piece to another piece is called NST(neural style transfer). ...as sigmoid(x) <math> = \frac{1}{1+e^{-x}} </math>. We use this activation function to keep the neuron from being a purely linear operation which would restric
    15 KB (2,564 words) - 11:25, 29 November 2022

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