• == Continuous to discrete time signal== I used the signal <math>y = cos(n)\,</math> as the signal of my graph
    1 KB (196 words) - 20:31, 10 September 2008
  • === Periodic Continuous Time Signal === ...y people used in Homework 1 for their example of a periodic function. The signal repeats itself at intervals of <math> 2\pi </math>.
    1 KB (196 words) - 11:07, 10 September 2008
  • == CT periodic signal == An example of a periodic signal in continuous time is:
    1 KB (227 words) - 17:24, 10 September 2008
  • I chose to use the CT (continuous time)periodic signal: y(t) = cos(t). The signal can be expressed as both periodic and non-periodic in DT (discrete time).
    809 B (142 words) - 17:35, 10 September 2008
  • A system is called time invariant if for any input signal x(t)(x[n]) and for any t0 belongs to R, the response to the shifted inputX( ...= 10 x(t-t0)where as a system is called time variant when we find an input signal for which the condition of time invariance is violated.
    2 KB (379 words) - 18:38, 10 September 2008
  • ...ework 1 were boring (including mine) so I thought I'd broaden the periodic signal pool. I chose the CT signal: <math>x(t) = |2*cos(.5*t)|</math> . A graph of this signal in continuous time is shown below.
    1 KB (207 words) - 17:25, 11 September 2008
  • <b>Changing a Periodic Continuous Time Signal to a Non-Periodic Discrete Time Signal</b> The signal I chose for this part can be found [[HW1.4 Wei Jian Chan - Periodic and Non
    1 KB (186 words) - 16:07, 11 September 2008
  • 1.This is a sine function of period 2. Function is sin(pi*t). Continuous Signal. 2. '''Periodic DT Signal'''This is the discrete signal of the same function in 1 with sampling time of 0.075. I got the diagram on
    642 B (86 words) - 10:23, 12 September 2008
  • A system is called "'''time invariant'''" if for any input signal x(t) in continuous time or x[n] in discrete time and for any time <math>t_0 A system is called "'''time variant'''" if for any input signal x(t) in continuous time or x[n] in discrete time and for any time <math>t_0
    1 KB (193 words) - 18:59, 18 September 2008
  • == Example of Computation of Fourier series of a CT SIGNAL == ==The Signal==
    2 KB (384 words) - 10:56, 16 September 2013
  • ==Response to a Signal from Question 1== I will use my signal from Question 1.
    2 KB (344 words) - 13:40, 26 September 2008
  • == Example of Computation of Fourier series of a CT SIGNAL == The function y(t) in this example is the periodic continuous-time signal cos(t) such that
    1 KB (195 words) - 11:07, 16 September 2013
  • A continuous-time Linear Time-Invariant (LTI) system defined for the purpose of this page wil where v(t) is an input signal dependent on the parameter of time.
    1 KB (233 words) - 17:43, 26 September 2008
  • == Example of Computation of Fourier transform of a CT SIGNAL == Let the signal x(t) be equal to:
    1 KB (191 words) - 12:29, 16 September 2013
  • Let the signal <math>X(\omega)</math> be equal to: The Inverse Fourier Transform of a signal in Continuous Time is:
    1,011 B (164 words) - 12:46, 16 September 2013
  • The response to the input signal <math>z^n</math> is <math>H(z)z^n</math>, giving
    680 B (127 words) - 03:59, 15 October 2008
  • '''Question:''' Compute the Fourier transform of the signal x(t) equal to: The Fourier Transform of a signal in Continuous Time is defined by:
    1 KB (188 words) - 11:09, 17 October 2008
  • ...Fourier transform exists if the signal is absolutely integrable or if the signal has a finite number of discontinuities within any finite interval. (See Pag :This is useful for signals that fail to satisfy the previous properties of a signal that is guaranteed a Fourier Transform.
    3 KB (465 words) - 14:38, 24 October 2008
  • What is it? Sampling is a process of measuring a CT signal x(t) at some specific values of time t. ...ample a continuous time signal x(t) at point t-1, t-2 and t-3. The sampled signal can represented by the formula <math>y[n] = x(nT)\,</math>
    2 KB (367 words) - 11:27, 7 November 2008
  • ==Reconstructing a signal from its samples using Interpolation== ...an important procedure we know as interpolation we can obtain the original signal of the function.
    851 B (151 words) - 11:38, 8 November 2008
  • ...ved by the use of a periodic impulse train multiplied by a continuous time signal, <math>x(t)</math>. The periodic impulse train, <math>p(t)</math> is refer
    3 KB (582 words) - 06:11, 16 September 2013
  • ...continuous-time signal to discrete-time signal, process the discrete-time signal using a discrete-time system and convert it back to continuous time. ...and X(j<math>\omega\,</math>) be the continuous Fourier transform of that signal. Then,
    1 KB (214 words) - 08:00, 10 November 2008
  • ...the uniformly spaced discrete samples are a complete representation of the signal if this bandwidth is less than half the sampling rate. ...signal and <math>X(W)\,</math> be the continuous Fourier transform of that signal
    2 KB (303 words) - 10:24, 10 November 2008
  • Let <math>x(t)</math> be a signal with <math>X(\omega) = 0</math> when <math>|\omega| > \omega_m</math>. <math>\omega_m</math> Maximum frequencye for a band limited signal
    2 KB (349 words) - 12:09, 10 November 2008
  • ...the uniformly spaced discrete samples are a complete representation of the signal if this bandwidth is less than half the sampling rate. ...signal and <math>X(w)\,</math> be the continuous Fourier transform of that signal (which exists if <math>x(t)\,</math> is square-integrable)
    2 KB (303 words) - 12:15, 10 November 2008
  • ...AB. By use of sampling a continuous signal can be converted to a discrete signal, manipulated via a computer program and then converted back into a continuo
    1 KB (274 words) - 06:49, 16 September 2013
  • ...u have used a good sampling rate, you should be able to reconstruct the CT signal without much fuss.
    829 B (155 words) - 16:53, 10 November 2008
  • ...ation is defined by the authors of our book as the fitting of a continuous signal to a set of sample values, and is a commonly used procedure to reconstruct ...tion of the CT signal from the sampled signal approximates the original CT signal better.
    951 B (153 words) - 17:14, 10 November 2008
  • Let x(t) be a signal with <math>\chi(\omega)=0</math> when <math>|\omega|<\omega_m</math>. P: A real-valued signal x(t) is known to be uniquely determined by its samples when the sampling fr
    2 KB (340 words) - 17:29, 10 November 2008
  • ...actly, from samples. More so, interpolation is the fitting of a continuous signal to a set of sample values. Interpolation can also be defined as a specific
    1 KB (167 words) - 19:39, 10 November 2008
  • The continuous-time Fourier transform provides us with a representation for signals as linear c ...the complex variable s, it is referred to as the Laplace transform of the signal. The complex variable zs can be written as <math>s=\sigma+j\omega</math>, w
    1 KB (183 words) - 17:02, 24 November 2008
  • ...rm is used on continuous signal while z transform is used for the discrete signal. The z- transform of a general discrete signal x[n] is defined as
    2 KB (316 words) - 15:23, 3 December 2008
  • #'''Signal Reconstruction Using Interpolation:''' the fitting of a continuous signal to a set of sample values ...nals (CD to MP3 albeit a complicated sampling algorithm, MP3 is less dense signal)
    21 KB (3,312 words) - 11:58, 5 December 2008
  • :(c) an ability to determine the response of linear systems to any input signal convolution in the time domain. [1,2,4;a,e,k] :(e) an ability to determine the response of linear systems to any input signal by transformation to the frequency domain, multiplication, and inverse tran
    7 KB (1,017 words) - 10:05, 11 December 2008
  • #'''Signal Reconstruction Using Interpolation:''' the fitting of a continuous signal to a set of sample values ...nals (CD to MP3 albeit a complicated sampling algorithm, MP3 is less dense signal)
    2 KB (254 words) - 07:05, 8 December 2008
  • ##[[Signal Energy and Power_Old Kiwi]] ##[[Continuous-Time and Discrete-Time_Old Kiwi]]
    4 KB (531 words) - 11:32, 25 July 2008
  • (a) The FT of <math>X(j\omega)</math> of a continuous-time signal x(t) is periodic (b) The FT of <math>X(e^{j\omega})</math> of a continuous-time signal x[n] is periodic
    4 KB (739 words) - 20:48, 30 July 2008
  • .../math> of the signal x[n] is also periodic with period N. For the periodic signal x[n], find the values of <math>a_0,a_1,...,a_{N-1}.</math> Express your an 1)b)Evaluate the value of <math>(1/N)*\sum_{n=<N>}|x[n]|^2</math> for the signal x[n] given in part (a).
    4 KB (803 words) - 11:10, 22 July 2008
  • Note: PM refers to the official course book, Digital Signal Processing, 3rd edition, J.G. Proakis and D.G. Manolakis. * Basic Signals and Signal Properties
    9 KB (1,237 words) - 09:29, 5 October 2009
  • * Signal properties (even/odd, periodicity, power, energy, etc.)
    5 KB (643 words) - 11:55, 6 August 2009
  • ...thcal{F}</math> of {a*x(t)+b*y(t)} will be equal to {a*X(w)+b*Y(w)} if the signal is truly linear. Signal <math>x(t)=1, 0<t\le1; 2, 1<t\le2; 0, else=u(t)+u(t-1)-2u(t-2)</math>
    2 KB (327 words) - 08:33, 8 July 2009
  • '''== Time Shifting Property of Continuous-Time Fourier Series ==''' <br> When a time shift is applied to a periodic signal x(t), the period T of the signal is preserved.<br>
    1 KB (200 words) - 03:44, 9 July 2009
  • ...the DT Fourier transform look like if the discretization represents the CT signal well?". Should we organize another recitation on that topic?--[[User:Mbou
    2 KB (375 words) - 04:11, 3 September 2009
  • [[Category:signal processing]] ...frequency spectrum of a signal the faster we sample it. Naturally, if the signal changes much faster than the sampling rate, these changes will not be captu
    8 KB (1,452 words) - 06:49, 16 September 2013
  • '''Q:''' What is a digital signal? '''A:''' A signal that can be represented by a sequence of 0's and 1's.
    1 KB (170 words) - 10:07, 23 September 2009
  • ...tions caused by analog circuitry. One area that this can be applied is in signal reconstruction, where a low pass analog filter is used on the output of a d ...ed to relax requirements on analog low pass filter design while decreasing signal distortion.
    5 KB (840 words) - 19:08, 22 September 2009
  • ...s time signal (consisting of infinite number of points) to a discrete time signal (finite points). This process enables the conversion of analog signals to ...period T). This can be achieved by multiplying the given continuous time signal by a train of dirac delta functions separated by the time period T. This c
    3 KB (527 words) - 11:50, 22 September 2009
  • xc(t)=continuous time signal x[n]=discrete time signal
    1 KB (219 words) - 11:36, 23 September 2009
  • ...ermines the number of pixels the camera uses to represent the "continuous" signal (e.g. a mountain, or your smiling significant other) that your digital came Thus the digital camera '''''samples''''' the continuous signal, with a period <math>T</math> (shutter speed) and "on" for length <math>tau
    6 KB (914 words) - 12:07, 22 October 2009
  • ...e the magnitude of each frequency component's contribution to the original signal. Finally, the Fourier Transform is calculated to express these coefficients ...at is commonly referred to as the "spectrum" of the original discrete-time signal, x[n]. To demonstrate why this is the case, consider the following discrete
    8 KB (1,268 words) - 07:16, 23 September 2009

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Correspondence Chess Grandmaster and Purdue Alumni

Prof. Dan Fleetwood