• [[Differential and difference equation - Arjun Bajaj]]
    54 B (7 words) - 21:15, 22 July 2009
  • Form the difference quotient as follows, and note, letting <math>f(x,\xi) = e^{-x^2/4} \cos(2\p <b>Lemma 2:</b> <math>\phi</math> satisfies the differential equation <math>\phi '( \xi ) = -8\pi^2\xi \phi ( \xi ).</math><br>
    4 KB (797 words) - 05:54, 11 June 2013
  • ...be silly to have an electron as a pet, because there is no permanent, core difference between the pet electron and any other electron in the universe. And as the ...salt leaving the tank is relatively obvious. Consequently the differential equation modeling the situation makes sense intuitively. But the explicit function t
    27 KB (4,384 words) - 17:47, 26 October 2009
  • ...ion can then be modelized in to how many nonnegative integer solutions the equation No there, is a difference because the distinguish vs. indistinguish is a 3 vs 5 instead of 5 vs. 3.
    8 KB (1,428 words) - 09:43, 15 February 2010
  • So are you saying that instead of having one 4 in the equation above, it should be 4^5 instead? ...number 28? How does the part "choosing five (but not six) numbers" make a difference?
    7 KB (1,342 words) - 08:41, 18 February 2010
  • Matrix equation: <math>\vec{Y}\vec{c}=\vec{b}</math><br> Note! Removing the W vector, this means the difference of "class means" not "projection means"!<br>
    9 KB (1,536 words) - 07:26, 12 April 2010
  • ...rier Transform, bilateral Laplace Transform. Discrete-time linear systems: difference equations, Discrete-Time Fourier Transform, bilateral z-Transform. Sampling ...iodic, even) and systems (e.g. causal, linear) and an understanding of the difference between discrete and continuous time signals and systems.
    3 KB (394 words) - 07:08, 4 May 2010
  • As we see first term of this equation would be zero when <math>\mu_1 = \mu_2</math>; which shows class separabili ...en <math>\Sigma_1 = \Sigma_2</math>; which shows class separability due to difference of covariance matrices.
    5 KB (806 words) - 09:08, 11 May 2010
  • ...1/s by expanding upon the previous square. Any thoughts as to why the sign difference? Thanks. ...in how to get this started? Do I need to go learn the integro-differential equation from sec 2.9?
    8 KB (1,384 words) - 17:16, 13 October 2010
  • ...ose that the LTI filter <math>h_1</math> satifies the following difference equation between input <math>x[n]</math> and output <math>y[n]</math>. Consider a system described by the following equation
    3 KB (462 words) - 10:42, 11 November 2011
  • 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
  • The difference between DFT and DTFT is that DFT has a discrete function with k and DTFT is ...of variable from s to z. Also properties of power series with differential equation is useful.
    3 KB (456 words) - 13:44, 30 April 2015
  • Consider a DT LTI system described by the following equation :a. Directly substitute x[n] into the difference equation describing the system;
    4 KB (661 words) - 11:22, 30 October 2011
  • ...l expression for the transfer function of a system defined by a difference equation with constant coefficients, and observed that the ROC of the transfer funct
    2 KB (329 words) - 12:04, 18 October 2010
  • :a. Find the difference equation of this filter. :b. Find the frequency response <math>H(w)</math> from the difference equation by the following two approaches:
    3 KB (480 words) - 10:42, 11 November 2011
  • a. The difference equation for this system is b. Find the frequency response <math>H(w)</math> from the difference equation:
    2 KB (437 words) - 12:00, 19 October 2010
  • ...mple discrete-time LTI system defined by a constant coefficient difference equation (but not causal).
    2 KB (260 words) - 12:42, 22 October 2010
  • ...<math>K(\vec{x},\vec{z})</math> satisfies Mercer's condition if the above equation must hold for every <math>g(\vec{x})</math>. A kernel function <math>K(\vec ...data, all points within a fixed distance are considered. In practice, one difference is that datasets with large gaps get treated much different. kNN will pick
    31 KB (4,787 words) - 18:21, 22 October 2010
  • Express the system using a constant coefficient difference equation.
    2 KB (322 words) - 13:00, 26 November 2013
  • Q1. Consider the following difference equation (Hint: Apply DTFT to the above equation)
    3 KB (479 words) - 10:42, 11 November 2011
  • a. The difference equation for this system is
    1 KB (207 words) - 19:00, 26 October 2010
  • Applying z inverse transform to both sides we obtain the difference equation d. Filter represented by this difference equation is IIR. Because the transfer function has one non-zero pole that is not can
    2 KB (441 words) - 05:42, 28 October 2010
  • d. Find the difference equation for y[n] in terms of x[n], corresponding to this transfer function H(z). <b
    19 KB (3,208 words) - 11:23, 30 October 2011
  • ...>y[n]=T_1[x[n]]</math> and <math>y[n]=T_2[x[n]]</math>, with the following difference equations, Then, calculate the impulse response and difference equation of the combined system <math>(T_1+T_2)[x[n]]</math>.
    3 KB (462 words) - 10:42, 11 November 2011
  • And the difference equation for the combined system is
    1 KB (206 words) - 08:52, 4 November 2010
  • ...erse transfer on both sides, we obtain the constant coefficient difference equation of the filter:
    2 KB (279 words) - 17:23, 3 November 2010
  • a. Find a difference equation that can be used to implement this filter.<br/>
    3 KB (398 words) - 10:43, 11 November 2011
  • c. From the difference equation -
    3 KB (504 words) - 19:54, 17 November 2010
  • ...ts. Apply these to the X equation after you separate your variables. The T equation will come out the same as before. ...me as flux out). The part that i am confused about is that while solving X equation we will have non-zero solutions for all values of lambda .. so do we solve
    4 KB (773 words) - 17:23, 8 December 2010
  • ...ar discrete parameter shift-invariant system have the following difference equation: <math class="inline">y\left(n\right)=0.7y\left(n-1\right)+x\left(n\right)< ...="inline">R_{\mathbf{YY}}\left(n+m,\; n\right)</math> depends on the time difference <math class="inline">m</math> . Thus, <math class="inline">\mathbf{Y}_{n}</
    6 KB (1,093 words) - 08:23, 27 June 2012
  • a. Find a difference equation that can be used to implement this filter.
    3 KB (515 words) - 10:43, 11 November 2011
  • .../math> with general input signal <math>x[m,n]</math> we get the difference equation of the filter.
    2 KB (391 words) - 07:16, 30 November 2010
  • ...''i, ''equation (1) becomes&nbsp;''i''a<sub>1 </sub>= -a<sub>2 </sub>, and equation (2) becomes ''i''a<sub>2 </sub>= a<sub>1</sub> ...ld know''': CHARACTERISTIC POLYNOMIAL OF A MATRIX '''and '''CHARACTERISTIC EQUATION OF A MATRIX.'''
    18 KB (2,963 words) - 07:22, 3 July 2012
  • *Causal LTI systems defined by linear, constant coefficients difference equations: ...ECE301S11|Example of "typical" questions on causal LTI systems defined by difference equations]]
    18 KB (2,485 words) - 10:36, 11 November 2011
  • #Causal CT/DT systems described by differential/difference equations (Sections 2.4.1, 2.4.2, 2.4.3) ...differential equation. For example, we could describe the system using an equation like this:
    10 KB (1,922 words) - 13:46, 2 February 2011
  • ...utin|How to get the frequency response of a system defined by a difference equation]] ...ence_Equation_in_Class_Example|Issue with LTI system defined by difference equation]]
    6 KB (818 words) - 06:12, 16 September 2013
  • ...m's diagram, and about how to represent DT systems defined by a difference equation using a system's diagram. It was pointed out that it would be nice to be ab
    1 KB (212 words) - 14:11, 28 February 2011
  • *Causal LTI systems defined by linear, constant coefficients difference equations: ..._ECE301S11|Example of "typical" questions on causal LTI systems defined by difference equations]]
    12 KB (1,768 words) - 10:25, 22 January 2018
  • a) Obtain a difference equation describing this system (i.e., the cascade). Justify your answer.
    4 KB (695 words) - 18:23, 7 March 2011
  • ...on Causal LTI systems defined by a linear, constant coefficient difference equation = Consider the LTI system defined by the difference equation
    5 KB (793 words) - 10:28, 11 November 2011
  • ...e where we got the expression for the frequency response from a difference equation. Look at all the steps we carried out in order to get that expression: to a
    1 KB (258 words) - 06:25, 11 March 2011
  • *[[ECE438_Week11_Quiz|Describe a LTI system using Difference equation, transfer function and impulse response]] <br/>
    900 B (121 words) - 10:39, 11 November 2011
  • ...sfer function of causal systems defined by constant coefficient difference equation is the outside of a circle in the complex plane, more specifically the circ
    1 KB (142 words) - 06:27, 11 September 2013
  • Consider a DT LTI system described by the following equation :a. Directly substitute x[n] into the difference equation describing the system;
    5 KB (916 words) - 03:56, 31 August 2013
  • d. Find the difference equation for y[n] in terms of x[n], corresponding to this transfer function H(z). <b
    11 KB (1,757 words) - 11:15, 30 October 2011
  • *[[ECE438_Week11_Quiz|Describe a LTI system using Difference equation, transfer function and impulse response]] <br/>
    6 KB (801 words) - 22:04, 19 April 2015
  • a) Write a difference equation that can be used to implement this filter.
    2 KB (270 words) - 03:59, 31 August 2013
  • ==1. Here is the general equation of an ellipsoid== ==2. Here is the general equation of a cone==
    4 KB (664 words) - 05:16, 8 December 2011
  • What is the equation of these hyperplanes? Recall the hyperplane equation: <math>\{ \vec{x} | \vec{n} \cdot \vec{x} = const \}</math>
    10 KB (1,604 words) - 11:17, 10 June 2013
  • ...ikelihood Estimation (MLE) and Bayesian parameter estimation. Despite the difference in theory between these two methods, they are quite similar when they are a ...rove useful in situations where observations alone is inadequate. The MAP equation is generally non-linear, and thus requires the use of iterative algorithms
    6 KB (976 words) - 13:25, 8 March 2012

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Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva