• :[[ECE438|ECE438: "Digital Signal Processing with Applications"]] *[[Discrete-time_Fourier_transform_info|Discrete-time Fourier transform (DTFT)]]
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  • *[[ECE438|ECE438: "Digital Signal Processing with Applications]], the main page for this popular senior level ...tal_signal_processing_practice_problems_list|Practice problems on "Digital Signal Processing"]]
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  • ##[[Signal Energy and Power_(ECE301Summer2008asan)|Signal Energy and Power]] ...ntinuous-Time and Discrete-Time_(ECE301Summer2008asan)|Continuous-Time and Discrete-Time]]
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  • (a) Derive the condition for which the discrete time complex exponetial signal x[n] is periodic.
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  • (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 (777 words) - 11:49, 21 November 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 (815 words) - 10:57, 21 November 2008
  • The command is ifft. It takes in a vector representing your signal and produces a vector of the fourier series coefficients. Two examples are The signal is represented by the graph below and is periodic for all time:
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  • :[[2015_Spring_ECE_438_Ersoy|ECE438: "Digital SIgnal Processing", Prof. Ersoy]] :[[2014_Fall_ECE_438_Boutin|ECE438: "Digital SIgnal Processing"]]
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  • [[Category:signal processing]] 2) Digital Signal = a signal that can be represented by a sequence of 0's and 1's.
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  • *<math>\omega_m</math>: Maximum frequency in a band-limited signal (<math> = max(\{|w|\ :\ w \neq 0\})</math> ...hen the band-limited signal can be uniquely reconstructed from the sampled signal.
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  • [[Category:signal processing]] <li>Signal Characteristics</li>
    3 KB (508 words) - 06:43, 16 September 2013
  • [[Category:signal processing]] <p><strong>Discrete-time:</strong> (a.k.a. Kronecher delta fn.)<br/>
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  • ! colspan="2" style="background: #bbb; font-size: 110%;" | Discrete-Time Domain *[[CT Time-averaged Power of a Signal over an infinite interval_ECE301Fall2008mboutin]] {{:CT Power of a Signal_
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  • ...Fourier transform of x[n], which is the sampled signal of continuous time signal x(t) <br>
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  • ...at starts at -1e-4 and goes to 1e-4. The ideal sampler creates a discrete signal with 5 points each 5e-5 apart.
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  • Note: PM refers to the official course book, Digital Signal Processing, 3rd edition, J.G. Proakis and D.G. Manolakis. ...due.edu/~bouman/ece438/lecture/module_1/1.1_signals/1.1.1_signal_types.pdf Signal Types]
    8 KB (1,226 words) - 11:40, 1 May 2009
  • =Rhea Section for [[ECE438|ECE 438: Digital Signal Processing with Applications]] Professor [[User:mboutin|Boutin]], Fall 2009
    7 KB (1,067 words) - 12:05, 25 June 2010
  • * [[HW1.5 Nicholas Browdues - Signal Power and Energy_ECE301Fall2008mboutin]] * [[HW1.5 Ben Laskowski - Signal Power and Energy_ECE301Fall2008mboutin]]
    24 KB (3,272 words) - 06:58, 1 September 2010
  • A discrete time signal is periodic if there exists T > 0 such that x(t + T) = x(t) A continuous time signal is periodic if there exists some integer N > 0 such that x[n + N] = x[n]
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  • A continuous time signal is periodic if there exists a value <math> T </math> such that <math> x(t + A discrete time signal is periodic if there exists a value <math> N </math> such that <math> X[n +
    1 KB (169 words) - 07:22, 14 April 2010
  • ==Periodic Signal== In discrete time, a signal x[n] is considered a '''periodic signal''' if there exists a natural number N such that for all integers n, x[n+N]
    2 KB (279 words) - 07:18, 14 April 2010
  • <math>x[n]=</math><math>j^{n}</math> is a discrete time (DT) periodic signal. It's period is 4*k, where k is an integer. However, it's fundamental perio <math>x[n]=\cos{n}</math> is an example of a non-periodoc signal because there is not integer value for n such that <math>x[n+N]=x[n]</math>
    883 B (143 words) - 07:24, 14 April 2010
  • A continuous time signal x(t) is periodic if there exists T such that x(t + T) = x(t) for all t. <br A discrete time signal x[n] is periodic if there exists some integer N such that x[n + N] = x[n] f
    1 KB (192 words) - 07:28, 14 April 2010
  • A Continuous Time signal is said to be periodic if there exists <math>\ T > 0</math> such that <math A Discrete Time signal is said to be periodic if there exists <math>\ N > 0</math> (where N is an
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  • == Periodic Signal Definition == *For a Continuous-time signal
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  • This is a discrete signal too.
    677 B (97 words) - 20:44, 4 September 2008
  • ...e'' function, this is not the case. The definition for a periodic discrete signal is that there exists an ''integer'' <math>N > 0</math> such that <math>x[n
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  • A periodic signal is one that for a given real number "a": ===Periodic Signal===
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  • == Discrete time periodic signal Example == [[Image:dts_ECE301Fall2008mboutin.png|200px|thumb|left|Periodic Discrete Time Signal]]
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  • ==Periodic Signal== A continuous time (CT) signal is periodic if it there exists some T such that x(t+T)=x(t) for all t.
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  • ...s say you put signal x into the system and the output is Ax. Then you put signal y into the system and the output is By. Then a linear system with signals
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  • ...follows a square effect because of the <math>k^2+1</math> that each output signal is affected by.
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  • '''Changing a Periodic Continuous Time Signal to a Non-Periodic Discrete Time Signal''' ...nsider the continuous time signal <math>x(t)=sin(t)</math>. Plotting this signal yields a smooth waveform that repeats itself with period <math>T=2\pi</math
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  • == 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
  • ...ting two DT signals (one periodic and one non-periodic) from a periodic CT signal== Let <math>x(t) = sin (2\pi t),</math> which is a periodic CT signal
    2 KB (380 words) - 10:24, 11 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
  • Here I use the CT signal x=sin(2*pi*t) with a period of 1 sec: Producing a periodic discrete time signal from the signal above with sampling rate SR=0.01:
    727 B (118 words) - 16:11, 12 September 2008
  • ...as Browdues has used in the previous Homework 1 assignment as my reference signal.
    1 KB (172 words) - 13:17, 12 September 2008
  • ...ne of the signals in the left column, then the output is the corresponding signal in the right column:
    2 KB (368 words) - 10:26, 12 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
  • I choose y(t)=cos(t) as my continous signal. ...ple the signal y(t)=cos(t) at 100 Hz and so we get the following discrete signal which is periodic
    1 KB (207 words) - 21:44, 11 September 2008
  • ...ere is a bug in this code. The timestep in this case makes the part of the signal that is plotted is considered to small to get a full sample.
    853 B (162 words) - 12:08, 12 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
  • Periodic signal ...of the frequency of the signal will result in a non-periodic Discrete Time signal.
    775 B (125 words) - 17:10, 12 September 2008
  • ...ting two DT signals (one periodic and one non-periodic) from a periodic CT signal== I choose <math>x(t) = sin (2\pi t),</math> which is a periodic CT signal
    649 B (104 words) - 16:13, 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

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