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- ...f the signal. We then began the second topic: "Spectral representation of DT signals". After giving the formulas for the DTFT and the inverse DTFT, we o *[[Table DT Fourier Transforms|Table of DT Fourier transform pairs and properties]]3 KB (382 words) - 16:41, 31 August 2015
- '''2)''' Write MATLAB code to play the two DT signals from part a) for 2 seconds. Briefly comment on how each signal "sou2 KB (395 words) - 12:13, 7 September 2015
- a_k=\frac{1}{T_0}\int_{\tau}^{\tau+T_0} x(t)e^{-j\omega_0 kt}dt a_k&=\frac{1}{T_0}\int_{\tau}^{\tau+T_0} x(t)e^{-j\omega_0 kt}dt \\5 KB (812 words) - 13:08, 19 October 2015
- ...in such a way that a band-limited interpolation of the processed (output) DT signal would be the same as y(t)? Answer yes/no. If you answered yes, expla ...ignal in such a way a band-limited interpolation of the processed (output) DT signal would be the same as y(t)? Answer yes/no. If you answered yes, expla3 KB (499 words) - 16:04, 22 September 2015
- 2) Write MATLAB code to play the two DT signals from part a) for 2 seconds. Briefly comment on how each signal "sou4 KB (536 words) - 15:54, 25 September 2015
- The goal of this homework is to get an intuitive understanding on how to DT signals with different sampling frequencies in an equivalent fashion. a) What is the relationship between the DT Fourier transform of x[n] and that of y[n]=x[4n]? (Give the mathematical re5 KB (779 words) - 18:19, 25 September 2015
- INSTRUCTOR'S NOTE: THERE IS A MISTAKE BELOW. THE AMPLITUDE OF THE DT FILTER SHOULD NOT BE MULTIPLIED BY 1/TS. -> Corrected! ...in such a way that a band-limited interpolation of the processed (output) DT signal would be the same as y(t)? Answer yes/no. If you answered yes, expla3 KB (475 words) - 15:23, 20 October 2015
- a) What is the relationship between the DT Fourier transform of x[n] and that of y[n]=x[4n]? (Give the mathematical re b) What is the relationship between the DT Fourier transform of x[n] and that of6 KB (945 words) - 11:40, 19 October 2015
- Consider a DT LTI system described by the following equation Consider a DT LTI system described by the following non-recursive difference4 KB (625 words) - 13:17, 16 November 2015
- ...for |f|>2.5KHz.) How does it compare to the graph of the magnitude of the DT Fourier transform of the digital recording of the phoneme?3 KB (449 words) - 11:39, 20 November 2015
- DT – Distance Table,<br /> Initialize DT(s,0) = 0, DT(s,1) = 0, all remaining DT(j,k) = -1<br />14 KB (2,351 words) - 23:21, 24 April 2016
- *DT convolution: 2.3 *DT system stability and causality: 2.28acef526 B (73 words) - 21:35, 20 June 2016
- *DT convolution: 2.21abcd *DT impulse response and convolution: 2.24ab707 B (103 words) - 14:02, 24 June 2016
- * DT signals: 3.28a (subparts a and c), c * DT signals: 3.31abc607 B (86 words) - 00:27, 6 July 2016
- **[[Table DT Fourier Transforms|DTFT]] | Something related to CT or DT Fourier transform4 KB (622 words) - 09:42, 8 January 2017
- *Week 1-2: CT and DT Fourier Transforms == Part 2 (week 9-14): DT Systems and Applications ==10 KB (1,357 words) - 17:02, 14 September 2016
- '''2)''' Write MATLAB code to play the two DT signals from part a) for 3 seconds.2 KB (398 words) - 11:41, 2 September 2016
- *go over the relationship between DT signal processing and CT signal processing (for a simple filter) once more, Let x[n] be a DT signal. Let z[n]=x[2n] be a downsampling of x[n]. Let y[n] be an upsampling4 KB (636 words) - 08:16, 21 September 2016
- Let x[n] be a DT signal of finite duration N and let <math>{\mathcal X}(\omega)</math> be it3 KB (485 words) - 17:11, 27 September 2016
- Consider a DT LTI system described by the following equation Consider a DT LTI system described by the following non-recursive difference3 KB (503 words) - 15:44, 8 November 2016
- ...m of the phoneme. How does it compare to the graph of the magnitude of the DT Fourier transform of the digital recording of the phoneme?8 KB (1,336 words) - 15:40, 27 November 2016
- ...for |f|>2.5KHz.) How does it compare to the graph of the magnitude of the DT Fourier transform of the digital recording of the phoneme?3 KB (460 words) - 13:20, 18 November 2016
- ...of the spectrum.) How does it compare to the graph of the magnitude of the DT Fourier transform of the digital recording of the phoneme?7 KB (1,236 words) - 17:19, 29 November 2016
- *Week 1-2: CT and DT Fourier Transforms == Part 2 (week 9-14): DT Systems and Applications ==10 KB (1,357 words) - 09:45, 8 January 2017
- **[[Table DT Fourier Transforms|DTFT]]3 KB (421 words) - 16:18, 10 December 2017
- **[[Table DT Fourier Transforms|DTFT]]3 KB (448 words) - 23:55, 23 April 2017
- :a) understand how to implement a CT system as a DT system through sampling and reconstruction.4 KB (658 words) - 14:50, 1 February 2017
- \end{bmatrix}dt}=e^{\begin{bmatrix}6 KB (742 words) - 07:16, 17 May 2017
- \lambda_x = \lambda_0e^{-\int^x_0\mu(t)dt} <math>\lambda_x = \lambda_0e^{-\int^x_0\mu(t)dt}</math>3 KB (529 words) - 16:42, 18 May 2017
- The linear dynamics around <math>x_e</math> is <math>\frac{d}{dt}f(x)=\begin{bmatrix}7 KB (1,126 words) - 05:45, 22 May 2017
- \nabla^2\bar{E} - \mu\epsilon\big(\frac{d^2E}{dt^2}\big)\\ \cancelto{0}{\nabla^2(E_o\sin(\omega t)\hat{z})} - \mu\epsilon\frac{d^2}{dt^2}[E_o\sin(\omega t)] = 0\\2 KB (352 words) - 21:21, 3 June 2017
- \frac{dz}{dt} = \frac{\triangle \omega}{\triangle \beta}= \bigg(\frac{\partial\beta}{\pa \omega - \beta \frac{dz}{dt} = 0\\5 KB (874 words) - 19:16, 18 June 2017
- \big(\frac{2\pi}{\lambda}\big)\big(\frac{dx}{dt}\big)(-\sin\theta_2-\sin\theta_2) + \triangle \omega &= 0, \beta =\frac{2\p \frac{dx}{dt} = v_p = \frac{\triangle\omega}{2\beta\sin\theta_2} \cong \frac{2\pi\cdot107 KB (1,072 words) - 16:11, 11 June 2017
- \nabla\times\bar{E} = -\frac{d\bar{B}}{dt} = \begin{vmatrix}\hat{x} & \hat{y} & \hat{z}\\\frac{\partial}{\partial y}& -\mu_0\frac{d\bar{H}}{dt} = (-\hat{x})[\beta E_0\sin(10\pi x)\sin(\omega t-\beta z)] + (\hat{z})[E_04 KB (752 words) - 17:19, 11 June 2017
- \frac{dz}{dt} = \frac{\triangle \omega}{\triangle \beta}= \bigg(\frac{\partial\beta}{\pa \omega - \beta \frac{dz}{dt} = 0\\5 KB (795 words) - 17:35, 11 June 2017
- 2)<math>\oint\bar{H}\cdot dl = \int_S(J+\frac{d}{dt}\bar{D})ds\hspace{2cm}\text{ only have } H_z</math>4 KB (642 words) - 10:44, 18 June 2017
- <math>\int_0^{2\pi} \int_0^a D_z rdrd\phi = Q = \int I_0 \cos(\omega t) dt</math>5 KB (834 words) - 11:35, 18 June 2017
- ...\bar{r}\times\bar{F}= RF\sin\theta=RB_0\lambda(\pi a^2)\delta(t)=\frac{dL}{dt}</math> <math>\varepsilon_0(t)= L\frac{di(t)}{dt}+Ri(t)=\varepsilon_0\mu(t)</math>3 KB (476 words) - 11:00, 18 June 2017
- 2) <math>\nabla\times\bar{E} = -\frac{d}{dt}B</math> <math>\oint\bar{E}\cdot dl = - \frac{d}{dt}\int_S\bar{B}\cdot ds = V_{EMF}</math>3 KB (591 words) - 11:21, 18 June 2017
- 2) <math>\nabla\times\bar{E} = -\frac{d}{dt}B</math> <math>\oint\bar{E}\cdot dl = - \frac{d}{dt}\int_S\bar{B}\cdot ds = V_{EMF}</math>3 KB (591 words) - 11:24, 18 June 2017
- F&= \frac{d(\hslash k)}{dt}2 KB (263 words) - 11:02, 6 August 2017
- V(t) = \int_0^t a dt =at=\frac{qE_xt}{m^*}3 KB (457 words) - 10:59, 6 August 2017
- ...{E_F/kT}}{2\pi\alpha}kT\int_0^\infty e^{-t}\cdot (tkT)^{\frac{2}{\alpha}-1}dt\\ ...ot(kt)^{\frac{2}{\alpha}-1}\int_0^\infty e^{-t}\cdot t^{\frac{2}{\alpha}-1}dt\\4 KB (644 words) - 19:34, 30 July 2017
- I_{La}&=qA\int_0^{x_n}\frac{dn}{dt}\cdot dx\\ \frac{dn}{dt} = -R=G_L2 KB (375 words) - 22:19, 5 August 2017
- ...rac{dy}{dx}=y^2+y</math>, <math>k</math> is a parametre || <math>\frac{dh}{dt}=k\frac{d^2h}{dx^2}</math>, <math>k</math> is a parametre | Examples .....|| <math>ü=\frac{d^2u}{dt^2}</math>|| <math>y'=\frac{dy}{dx}</math>6 KB (1,070 words) - 23:06, 21 November 2017
- ''' <big><big><big> 3.1 Separable Equation for <math>\frac{dy}{dt}=f(y)g(t)</math> </big></big></big> ''' ...d form of differential equation to use this method is like <math>\frac{dy}{dt}=f(y)g(t)</math>, where <math>f(y)</math> and <math>g(t)</math> are easy to10 KB (1,764 words) - 14:31, 17 November 2017
- '''·''' Find an explicit solution for <math>\frac{dy}{dt}=f(t)</math>. This is the same thing as finding the integral of <math>f(t)< '''·''' <math>\frac{dy}{dt}=y^2</math>5 KB (852 words) - 22:39, 16 November 2017
- ...n(t)\frac{d^ny}{dt^n}+f_{n-1}\frac{d^{n-1}y}{dt^{n-1}}+...+f_1(t)\frac{dy}{dt}+f_0(t)y=g(t)</math>, where <math>n</math> is the order.2 KB (283 words) - 02:01, 17 November 2017
- ...n(t)\frac{d^ny}{dt^n}+f_{n-1}\frac{d^{n-1}y}{dt^{n-1}}+...+f_1(t)\frac{dy}{dt}+f_0(t)y=g(t)</math>, where <math>n</math> is the order. ...ion look more like a system, we rename <math>y=x_1</math>, <math>\frac{dy}{dt}=x=x_2</math>.4 KB (712 words) - 23:15, 21 November 2017
- <math>\frac{dx_1}{dt}=f_1(t,x_1,x_2,...x_n)</math> <math>\frac{dx_2}{dt}=f_2(t,x_1,x_2,...x_n)</math>9 KB (1,504 words) - 23:12, 21 November 2017
