Create the page "DT" on this wiki! See also the search results found.
Page title matches
- [[Discrete-time_Fourier_transform_info|Discrete-time (DT) Fourier Transforms]] Pairs and Properties ! colspan="2" style="background: #eee;" | DT Fourier transform and its Inverse7 KB (1,037 words) - 21:05, 4 March 2015
- '''Discrete Time (DT) Signals''' ...time signal there will be time periods of n where you do not have a value. DT signals are represented using the form <math>x[n]</math>. Discrete signals3 KB (516 words) - 17:03, 2 December 2018
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2 KB (263 words) - 11:13, 22 January 2018
- =CT and DT Convolution Examples= ...course, it is important to know how to do convolutions in both the CT and DT world. Sometimes there may be some confusion about how to deal with certain5 KB (985 words) - 12:38, 30 November 2018
- ..._\infty</math> and the power <math class="inline">P_\infty</math> of this DT signal:1 KB (196 words) - 19:39, 1 December 2018
Page text matches
- <math>=\frac{1}{2}\int_0^{2\pi}(1+cos(2t))dt</math> <math>=\frac{1}{2\pi-0}\frac{1}{2}\int_0^{2\pi}(1+cos(2t))dt</math>1,007 B (151 words) - 13:45, 24 February 2015
- <math>E_\infty(x(t)) = \int_{-\infty}^\infty |x(t)|^2\,dt</math> ...>P_\infty(x(t)) = \lim_{T \to \infty} (\frac{1}{2T} \int_{-T}^T |x(t)|^2\,dt)</math>4 KB (734 words) - 15:54, 25 February 2015
- <math>E\infty=\int_{-\infty}^\infty |x(t)|^2\,dt</math> <math>E\infty=\int_{-\infty}^\infty |\sqrt{t}|^2\,dt=\int_0^\infty t\,dt</math> (due to sqrt limiting to positive Real numbers)1 KB (261 words) - 15:09, 25 February 2015
- ...nt_{-\infty}^{\infty}|t| dt = \int_{-\infty}^{0}-t dt+\int_{0}^{\infty} t dt=\infty+\infty=\infty.</math> ...\rightarrow \infty} \frac{1}{2T}\left( \int_{-T}^{0} -t dt+\int_{0}^{T} t dt\right) =limit_{T\rightarrow \infty} \frac{1}{2T}\left( \frac{T^2}{2}+\frac{6 KB (975 words) - 15:35, 25 February 2015
- <math>E\infty=\int_{-\infty}^\infty |2tu(t)|dt</math> <span style="color:blue"> (*) </span> <math>P\infty=\lim_{T \to \infty}\frac{1}{2*T}\int_{-T}^T|2tu(t)|dt</math>2 KB (408 words) - 17:20, 25 February 2015
- <math>E_\infty = \int_{-\infty}^\infty |tu(t)|^2\,dt = \int_{0}^\infty t^2\,dt=\infty</math> ...t_{-T}^T |tu(t)|^2\,dt = lim_{T \to \infty} \ \frac{1}{2T} \int_{0}^T t^2\,dt =\frac{\infty}{\infty}=1</math>1 KB (241 words) - 17:06, 25 February 2015
- <math>E_{\infty}=\int_{-\infty}^\infty |x(t)|^2\,dt</math> <math>E_{\infty}=\int_{-\infty}^\infty |2t^2|^2\,dt</math>2 KB (415 words) - 17:05, 25 February 2015
- <math>E_\infty = \int_{-\infty}^\infty |5sin(t)|^2\,dt</math> <math>E_\infty = \int_{-\infty}^\infty 25sin(t)^2 \,dt</math>3 KB (432 words) - 17:55, 25 February 2015
- **[[Table DT Fourier Transforms|Discrete-time Fourier Transform Pairs and Properties]] (3 KB (294 words) - 15:44, 12 March 2015
- |<math>F(s)=\int_{-\infty}^\infty f(t) e^{-st}dt, \ s\in {\mathbb C} \ </math> | <math>u_n(t) = \frac{d^{n}\delta (t)}{dt^{n}}</math>29 KB (4,474 words) - 13:58, 22 May 2015
- ...info)]] CT signal energy ||<math>E_\infty=\int_{-\infty}^\infty | x(t) |^2 dt </math> ...\lim_{T \to \infty} \frac{1}{2T} \int_{-T}^{T} \left | x (t) \right |^2 \, dt </math>2 KB (307 words) - 14:54, 25 February 2015
- ...l{X}(\omega)=\mathcal{F}(x(t))=\int_{-\infty}^{\infty} x(t) e^{-i\omega t} dt</math> | <math>\frac{d^{n}x(t)}{dt^{n}}</math>8 KB (1,130 words) - 11:45, 24 August 2016
- | align="right" style="padding-right: 1em;" | DT delta function || <math>\delta[n]=\left\{ \begin{array}{ll}1, & \text{ for | align="right" style="padding-right: 1em;" | DT unit step function || <math>u[n]=\left\{ \begin{array}{ll}1, & \text{ for }2 KB (339 words) - 11:11, 18 September 2015
- | <math>X(f)=\mathcal{F}(x(t))=\int_{-\infty}^{\infty} x(t) e^{-i2\pi ft} dt</math> | align="right" style="padding-right: 1em;" | Inverse DT Fourier Transform5 KB (687 words) - 21:01, 4 March 2015
- [[Discrete-time_Fourier_transform_info|Discrete-time (DT) Fourier Transforms]] Pairs and Properties ! colspan="2" style="background: #eee;" | DT Fourier transform and its Inverse7 KB (1,037 words) - 21:05, 4 March 2015
- <math>E_\infty=\int_{-\infty}^\infty | x(t) |^2 dt </math>1 KB (207 words) - 16:04, 25 February 2015
- ...\lim_{T \to \infty} \frac{1}{2T} \int_{-T}^{T} \left | x (t) \right |^2 \, dt </math>1 KB (220 words) - 10:49, 21 April 2015
- p^{\prime}(t)=\frac{d}{dt}p(t)=\left( \frac{d}{dt}x(t),\frac{d}{dt}y(t)\right). \| p^{\prime}(t)\| =\sqrt{\left( \frac{d}{dt}x(t)\right)^2+\left( \frac{d}{dt}y(t)\right)^2}10 KB (1,752 words) - 17:02, 14 May 2015
- ...| Below <math>x[n]</math>, <math>x_1[n]</math> and <math>x_2[n]</math> are DT signals with z-transforms <math>X(z)</math>, <math>X_1(Z)</math>, <math>X_27 KB (1,018 words) - 08:55, 6 March 2015
- E_{\infty}&=\lim_{T\rightarrow \infty}\int_{-T}^T |e^{(2jt)}|^2 dt \quad {\color{OliveGreen}\surd}\\ &= \lim_{T\rightarrow \infty}\int_{-T}^T |(cos(2t) + j*sin(2t))|^2 dt \quad {\color{OliveGreen}\text{ (You could skip this step.)}}\\4 KB (595 words) - 11:01, 21 April 2015
