Create the page "Continuous-time signal" on this wiki! See also the search results found.
- =Exercise: Compute the Fourier series coefficients of the following signal:= [[Recommended_exercise_Fourier_series_computation|More exercises on computing continuous-time Fourier series]]2 KB (324 words) - 08:08, 15 February 2011
- ...condition, the sampling frequency must be larger than the twice of maximum signal frequency, in order to avoid the aliasing when sampling. The frequency domain relationship betweeen a signal <math>x[n]</math> and its upsampled version <math>z[n]</math> can be shown3 KB (467 words) - 19:52, 20 September 2010
- ...es, a low-pass filter could be applied to this upsampling so to obtain the signal1 KB (220 words) - 16:07, 22 September 2010
- [[Category:digital signal processing]] <math>\text{ Sample a continuous signal x(t)=sin(}\omega t)\text{ with period of T, }</math>2 KB (373 words) - 10:41, 11 November 2011
- The highest frequency of the continuous signal is <math>f=\frac{\omega}{2\pi}</math>370 B (55 words) - 12:20, 29 September 2010
- =Exercise: Compute the Fourier series coefficients of the following periodic signal:= ...ary to state the period in the question, as one can figure it out from the signal itself. </span> --[[User:Mboutin|Mboutin]] 08:15, 29 September 2010 (UTC)6 KB (999 words) - 13:00, 16 September 2013
- *Fourier series of a continuous-time signal x(t) periodic with period T *Fourier series coefficients of a continuous-time signal x(t) periodic with period T2 KB (292 words) - 17:13, 30 September 2010
- *Fourier series of a continuous-time signal x(t) periodic with period T *Fourier series coefficients of a continuous-time signal x(t) periodic with period T1 KB (241 words) - 06:50, 30 September 2010
- ...transforms one complex-valued function of a real variable into another. In signal processing, the domain of the original function is typically in the time do4 KB (746 words) - 08:47, 11 November 2013
- Definition: let x[n] be a DT signal with Period N. Then, ...efficients of continuous periodic function x[n]? <br> The DFT of a sampled signal x[n] of length N is directly proportional to the Fourier series coefficient19 KB (3,208 words) - 11:23, 30 October 2011
- [[Category:signal]] keywords:signal energy, exercises1 KB (207 words) - 16:04, 25 February 2015
- [[Category:signal]] =Continuous-Time (Average) Signal Power=1 KB (220 words) - 10:49, 21 April 2015
- ...ar filtering view of the STFT. Then we obtained a formula to reconstruct a signal from its STFT. This concluded the material on speech processing. We then be933 B (122 words) - 09:32, 11 November 2011
- =About the Multiplication Property of the continuous-time Fourier transform= The multiplication property of the continuous-time Fourier transform can be stated as follows:751 B (105 words) - 16:17, 30 November 2010
- ...[Complex Exponential and Sinusoidal Amplitude Modulation|videos explaining signal modulation]]! ...problems to practice CT convlution, and two problems for practicing basic signal's properties. -pm18 KB (2,485 words) - 10:36, 11 November 2011
- Compute the Magnitude of the following continuous-time signals ...of the result. (This is basically what you are doing in a), but since the signal is real, it is equal to its conjugate.) A quick note though on the symbol <2 KB (292 words) - 16:17, 26 November 2013
- [[Category:signal]] [[Category:continuous-time signal]]4 KB (595 words) - 11:01, 21 April 2015
- ...\omega\right| > \omega_m </math>. Can one recover the signal x(t) from the signal <math class="inline"> y(t)=x(t) p(t-3) </math>, where ...omega)\right| > \omega_m </math>. Can one recover the signal x(t) from the signal <math class="inline"> y(t)=x(t) p(t-3) </math>, where900 B (158 words) - 16:06, 2 April 2011
- *[[SignalMetricsFormula|Signal Metrics Definitions and Formulas]] *[[CT Fourier Transform (frequency in radians per time unit)|Continuous-time Fourier Transform Pairs and Properties]] (function of <span class="texhtml"890 B (101 words) - 17:30, 21 April 2013
- ...olving|Practice Question]] on Computing the Fourier Series continuous-time signal= Obtain the Fourier series the CT signal4 KB (594 words) - 12:59, 16 September 2013
- *[[CT_Fourier_series_practice_problems_list|Problems on continuous-time Fourier series]] *[[CT_Fourier_transform_practice_problems_list|Problems on continuous-time Fourier transform]]12 KB (1,768 words) - 10:25, 22 January 2018
- ...ractice Question]] on Computing the Fourier Transform of a Continuous-time Signal = Compute the Fourier transform of the signal1 KB (197 words) - 10:25, 11 November 2011
- Today we obtained the formula for the Fourier transform of a periodic signal. We found that we cannot compute the Fourier transform of such signals usi We finished the lecture by discussing a few properties of the continuous-time Fourier transform.2 KB (215 words) - 14:12, 28 February 2011
- ...ractice Question]] on Computing the Fourier Transform of a Continuous-time Signal = Compute the Fourier transform of the signal2 KB (276 words) - 10:25, 11 November 2011
- ...ractice Question]] on Computing the Fourier Transform of a Continuous-time Signal = Compute the Fourier transform of the signal2 KB (355 words) - 10:26, 11 November 2011
- ...ractice Question]] on Computing the Fourier Transform of a Continuous-time Signal = Compute the Fourier transform of the signal853 B (122 words) - 10:26, 11 November 2011
- ...ractice Question]] on Computing the Fourier Transform of a Continuous-time Signal = Compute the Fourier transform of the signal1 KB (196 words) - 10:26, 11 November 2011
- Compute the Fourier transform of the continuous-time signal <math>x(t)=e^{-3 |t|}</math>. (Use the definition of the Fourier transform, Compute the Fourier transform of the signal4 KB (633 words) - 12:31, 2 March 2011
- ...irst part of today's lecture, we finished discussing the properties of the continuous-time Fourier transform. We then used these properties to obtain a simple express ...of shifted copies (shifted by <math>2 \pi k</math>, with k integer)of our signal.2 KB (346 words) - 14:13, 28 February 2011
- = [[:Category:Problem_solving|Practice Question]] on the Properties of the Continuous-time Fourier Transform = Let x(t) be a continuous time signal with Fourier transform <math class="inline">{\mathcal X} (\omega) </math>.2 KB (401 words) - 10:27, 11 November 2011
- .../span> for the computation of the Fourier transform of the continuous-time signal. Check every step of the computation and remove point for any mistakes. Tak ...r:red"> 15 pts </span> for the computation of the Fourier transform of the signal. Check every step of the computation and remove point for any mistakes. Tak7 KB (1,161 words) - 18:50, 4 March 2011
- ...(t). The physiological system being modeled, h(t), will convert this signal into output, y(t). For example, the blood clotting mechanism can be i ...rresponding to adenine, guanine, cytosine, and thymine.) Furthermore, this signal must be broken into distinct genes and decoded. These genes can be ma17 KB (2,368 words) - 10:53, 6 May 2012
- The signal <math class="inline"> x(t)= e^{j \pi t }\frac{\sin (\pi t)}{t} </math> is s ...omega \right| > \omega_m </math>. Can one recover the signal x(t) from the signal <math class="inline"> y(t)=x(t) p(t-3) </math>, where3 KB (451 words) - 06:40, 1 April 2011
- [[Category:signal processing]] = [[ECE438|ECE 438]]: Digital Signal Processing with Applications =10 KB (1,359 words) - 03:50, 31 August 2013
- [[Category:signal processing]] Note: PM refers to the official course book, Digital Signal Processing, 3rd edition, J.G. Proakis and D.G. Manolakis. Prentice Hall, 199 KB (1,341 words) - 03:52, 31 August 2013
- ...tal_signal_processing_practice_problems_list|Practice Question on "Digital Signal Processing"]]''' Topic: Continuous-time Fourier transform computation (in terms of frequency f in hertz)7 KB (1,302 words) - 09:45, 11 November 2013
- ...tal_signal_processing_practice_problems_list|Practice Question on "Digital Signal Processing"]]''' Topic: Continuous-time Fourier transform: from omega to f7 KB (1,143 words) - 09:44, 11 November 2013
- ...tal_signal_processing_practice_problems_list|Practice Question on "Digital Signal Processing"]]''' Topic: Continuous-time Fourier transform of a complex exponential3 KB (610 words) - 09:47, 11 November 2013
- ...ture 13, we discussed the possibility of an extra credit project involving signal resampling and filtering. ...p to figure out how to transform this signal into the (higher resolution) signal2 KB (243 words) - 06:23, 11 September 2013
- [[Category:signal processing]] Pick 5 different continuous-time signals x(t) (at least three of which should be band-limited, and at least2 KB (320 words) - 03:54, 31 August 2013
- ...computation|A collective page to practice computing Fourier series of a CT signal]] ...putation_DT|A collective page to practice computing Fourier series of a DT signal]]2 KB (212 words) - 05:44, 26 September 2011
- ...tal_signal_processing_practice_problems_list|Practice Question on "Digital Signal Processing"]]''' Give examples of continuous-time signals that are band-limited. (Justify your claim that they are band-limit2 KB (326 words) - 12:38, 26 November 2013
- '''Signal''' ...is a function, so when we say a continuous time signal or a discrete time signal we really mean continuous time functions and discrete time functions.3 KB (516 words) - 17:03, 2 December 2018
- [[Category:signal processing]]872 B (107 words) - 06:31, 11 September 2013
- ...tal_signal_processing_practice_problems_list|Practice Question on "Digital Signal Processing"]]''' ...n the exam, you could use the second approach if you were given a table of continuous-time fourier transform in which the Fourier transform of an exponential is given3 KB (576 words) - 12:57, 26 November 2013
- ...tal_signal_processing_practice_problems_list|Practice Question on "Digital Signal Processing"]]'''3 KB (487 words) - 12:57, 26 November 2013
- ...tal_signal_processing_practice_problems_list|Practice Question on "Digital Signal Processing"]]'''4 KB (678 words) - 12:58, 26 November 2013
- [[Category:signal processing]]2 KB (196 words) - 06:32, 11 September 2013
- ...tal_signal_processing_practice_problems_list|Practice Question on "Digital Signal Processing"]]''' Compute the discrete-space Fourier transform of the following signal:3 KB (473 words) - 12:59, 26 November 2013
- [[Category:Digital Signal Processing]] ...://www.projectrhea.org/learning/practice.php Practice Problems] on Digital Signal Processing6 KB (801 words) - 22:04, 19 April 2015
- [[Category:digital signal processing]] [[Category:signal processing]]2 KB (301 words) - 06:32, 11 September 2013
- = [[ECE]] 538: Digital Signal Processing I = *[[SignalMetricsFormula|Signal Metrics Definitions and Formulas]]1 KB (152 words) - 12:17, 24 February 2015
- Communication, Networking, Signal and Image Processing (CS) ...that <math class="inline">\mathbf{X}\left(t\right)</math> is a zero-mean, continuous-time, Gaussian white noise process with autocorrelation function <math class="in5 KB (735 words) - 01:17, 10 March 2015
- Communication, Networking, Signal and Image Processing (CS)4 KB (643 words) - 11:16, 10 March 2015
- Communication, Networking, Signal and Image Processing (CS)4 KB (572 words) - 10:24, 10 March 2015
- Communication, Networking, Signal and Image Processing (CS) Let <math class="inline">\mathbf{X}\left(t\right)</math> be a real continuous-time Gaussian random process. Show that its probabilistic behavior is completely5 KB (748 words) - 01:01, 10 March 2015
- Communication, Networking, Signal and Image Processing (CS) ...0"><span style="font-size: 19px;"><math>\color{blue} \text{Show that if a continuous-time Gaussian random process } \mathbf{X}(t) \text{ is wide-sense stationary, it4 KB (547 words) - 16:40, 30 March 2015
- Communication, Networking, Signal and Image Processing (CS) \text{Let } F(\mu,\nu) \text{ be the continuous-time Fourier transform of } f(x,y) \text{ given by}4 KB (665 words) - 10:25, 13 September 2013
- Communication, Networking, Signal and Image Processing (CS) ...000"><span style="font-size: 19px;"><math>\color{blue}\text{Show that if a continuous-time Gaussian random process } \mathbf{X}(t) \text{ is wide-sense stationary, it6 KB (932 words) - 10:30, 13 September 2013
- Communication, Networking, Signal and Image Processing (CS) \text{Let } F(\mu,\nu) \text{ be the continuous-time Fourier transform of } f(x,y) \text{ given by}17 KB (2,783 words) - 01:51, 31 March 2015
- *[[SignalMetricsFormula|Signal Metrics Definitions and Formulas]] *[[CT Fourier Transform (frequency in radians per time unit)|Continuous-time Fourier Transform Pairs and Properties]] (function of <span class="texhtml"2 KB (236 words) - 11:24, 21 September 2012
- To measure the worst case time delay from accelerometer signal input to orientation angle output at a macro scale (ie not by counting asse ...S. Smith, "DSP Software," ''The Scientist and Engineer's Guide to Digital Signal Processing''. <http://www.dspguide.com/ch4.htm>8 KB (1,176 words) - 15:15, 1 May 2016
- **[[SignalMetricsFormula|Signal Metrics Definitions and Formulas]] **[[CT_Fourier_Transform_(frequency_in_radians_per_time_unit)|Continuous-time Fourier Transform Pairs and Properties]] (function of <span class="texhtml"6 KB (799 words) - 10:10, 15 May 2013
- ...) = e^{-2}</math> at n=2, and so on. But because we have a constant input signal that effectively serves as a delta function at each time step, another impu ''<center>time-shifted continuous-time impulse responses due to a step function. (theoretically there should be an6 KB (991 words) - 15:18, 1 May 2016
- ...domain. It’s the output of In a LTI system when presented with a impulse signal input δ(t). In a LTI systems, impulse response is also equivalent to green2 KB (322 words) - 23:38, 10 March 2013
- ...hat the mean of the output random signal is equal to the mean of the input signal multiplied by the frequency response of the system evaluated at f=0. We als Note that we are now focusing only on continuous-time random processes for lack of time.3 KB (390 words) - 07:17, 24 April 2013
- ::↳ Eigen-Signal Analysis and Examples ...T is for continuous time signals. Let <math>x(n)</math> be a discrete time signal. Then, its DTFT, <math>X(e^{j\omega})</math> is given by <br/>10 KB (1,726 words) - 07:26, 26 February 2014
- [[Category:digital signal processing]] [[Category:signal processing]]9 KB (1,353 words) - 09:04, 11 November 2013
- **[[SignalMetricsFormula|Signal Metrics Definitions and Formulas]] **[[CT_Fourier_Transform_(frequency_in_radians_per_time_unit)|Continuous-time Fourier Transform Pairs and Properties]] (function of <span class="texhtml"4 KB (480 words) - 18:57, 10 December 2013
- [[Category:signal processing]] ...in terms of <math>\omega</math>, which you have seen in [[ECE301]], to the continuous-time Fourier transform in terms of f. We then saw a few important properties of3 KB (505 words) - 06:56, 2 September 2013
- *[[Audio_Signal_Filtering|Audio Signal Filtering]]3 KB (389 words) - 18:10, 23 February 2015
- on continuous-time Fourier transform ==Collectively solved problems on continuous-time Fourier transform==7 KB (966 words) - 18:17, 23 February 2015
- on continuous-time Fourier series ==Collectively solved problems on continuous-time Fourier series==7 KB (992 words) - 18:16, 23 February 2015
- ...x(t) be a continuous-time signal and let y[n]=x(nT) be a sampling of that signal with period T>0. We would like to interpolate the samples (i.e., "connect t ...imited interpolation of the samples (i.e., an expression for a continuous signal z(t) in terms of the samples y[n]). (Do not simply write down the formula;2 KB (362 words) - 13:59, 26 September 2013
- [[Category:signal processing]] ''' [[ECE438| ECE438: Digital Signal Processing with Applications]]'''1,002 B (119 words) - 05:58, 28 October 2013
- [[Category:signal processing]] ''' [[ECE438| ECE438: Digital Signal Processing with Applications]]'''4 KB (471 words) - 19:34, 9 February 2015
- [[Category:signal processing]] *[[2D_rect|2D rect signal]]2 KB (309 words) - 12:13, 7 November 2013
- [[Category:signal processing]] *[[2D_rect|2D rect signal]]2 KB (274 words) - 07:11, 11 November 2013
- Communication, Networking, Signal and Image Processing (CS)3 KB (449 words) - 21:36, 5 August 2018
- <font size="4">Communication, Networking, Signal and Image Processing (CS)</font>6 KB (995 words) - 09:21, 15 August 2014
- ** Be able to calculate the Fourier series coefficients of a period CT signal (DT Fourier series will NOT be on the exam). (3.28a(subparts abc), 3.22, 3. ...the frequency response of a system, find the FS coefficients of the output signal. (3.13, 3.14, Quiz 3)6 KB (765 words) - 13:35, 4 August 2016
- =Lab Wiki: [[2014_Fall_ECE_438_Boutin|ECE 438: Digital Signal Processing With Applications]], Fall 2014=2 KB (380 words) - 08:18, 2 December 2014
- [[Category:digital signal processing]] [[Category:signal processing]]9 KB (1,320 words) - 04:46, 11 September 2014
- [[Category:signal processing]] ...in terms of <math>\omega</math>, which you have seen in [[ECE301]], to the continuous-time Fourier transform in terms of f. We then saw a few important properties of3 KB (393 words) - 06:37, 27 August 2014
- [[Category:signal processing]] ...led'. But this process is a little different from sampling. The continuous signal will become discrete after sampling while it will still be continuous after5 KB (768 words) - 18:51, 16 March 2015
- ...nderstand the relation between comb vs original signal and rep vs original signal.7 KB (1,226 words) - 05:30, 15 October 2014
- ...x(t) be a continuous-time signal and let y[n]=x(nT) be a sampling of that signal with period T>0. We would like to interpolate the samples (i.e., "connect t ...imited interpolation of the samples (i.e., an expression for a continuous signal z(t) in terms of the samples y[n]). (Do not simply write down the formula;3 KB (462 words) - 09:43, 18 September 2014
- ...x(t) be a continuous-time signal and let y[n]=x(nT) be a sampling of that signal with period T>0. We would like to interpolate the samples (i.e., "connect t ...imited interpolation of the samples (i.e., an expression for a continuous signal z(t) in terms of the samples y[n]). (Do not simply write down the formula;7 KB (1,178 words) - 20:16, 18 December 2014
- [[Category:signal processing]] The discrete time fourier transform (DTFT) of a finite energy aperiodic signal x[n] can be given by the equation listed below. IT is a representation in t5 KB (862 words) - 20:02, 16 March 2015
- [[Category:signal processing]] ...g this cosine with period T (frequency <math>f_{s}=1/T</math>, the sampled signal <math>x[n]</math> can be written as <math>x[n]=cos(\frac{2 \pi f n}{T})</ma5 KB (801 words) - 20:04, 16 March 2015
- [[Category:signal processing]] ...nly be reconstructed perfectly from its sampling <math>x_s(t)</math>if the continuous-time Fourier Transform (CTFT) of <math>x(t)</math> is zero for all magnitudes of10 KB (1,650 words) - 19:04, 16 March 2015
- [[Category:signal processing]] ...cy domain view of the relationship between a signal and a sampling of that signal4 KB (732 words) - 19:07, 16 March 2015
- [[Category:signal processing]] ...cy domain view of the relationship between a signal and a sampling of that signal5 KB (852 words) - 09:58, 14 March 2015
- ...cy domain view of the relationship between a signal and a sampling of that signal </font> ...ship between a signal, and a sampling of that signal. Essentially, given a signal x(t), we are going to take a look at the similarities and differences in X(4 KB (599 words) - 09:58, 14 March 2015
- #Derivation of DTFT of downsampled signal<br> ...ure provides definition of downsampling, derives DTFT of downsampled signal and demonstrates it in a frequency domain. Also, it explains process of dec7 KB (1,035 words) - 19:07, 16 March 2015
- ...to eliminate the possibility of aliasing and distorting the reconstructed signal. Begin with x(t) as a continuous time signal with <math>x_1[n]= x(T_1*n)</math> being its discrete time sampling.4 KB (566 words) - 09:59, 14 March 2015
- ...cy domain view of the relationship between a signal and a sampling of that signal </font> ...f original signal x(t), sampled signal x<sub>s</sub>(t) and discrete signal x<sub>d</sub>[n]. Graphs in frequency domain help to understand this4 KB (621 words) - 05:40, 15 October 2014
- =Lab Wiki: [[2015_Fall_ECE_438_Boutin|ECE 438: Digital Signal Processing With Applications]], Fall 2015=2 KB (303 words) - 13:45, 5 October 2015
- [[Category:digital signal processing]] [[Category:signal processing]]10 KB (1,356 words) - 13:19, 19 October 2015
- =Lab Wiki: [[2015_Spring_ECE_438_Ersoy|ECE 438: Digital Signal Processing With Applications]], Spring 2015=2 KB (384 words) - 11:44, 21 April 2015