• [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==
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  • ==Response of the Signal and Fourier Series Coefficients==
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  • [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==
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  • = Fourier series coefficients for DT signal = ==Fourier series coefficients==
    818 B (140 words) - 17:14, 26 September 2008
  • [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==
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  • 2. x(t) is periodic with period T = 4 and Fourier coefficients <math> \ a_k </math>. as cos(t) is an even function with a Fourier Series representation that has coefficients of 0 for absolute values of k greater
    992 B (159 words) - 18:33, 26 September 2008
  • [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==
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  • Compute the response of the system to the signal using H(s) and the Fourier series coefficients of the signal.<br><br>
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  • [[Category:Fourier transform]] [[Category:inverse Fourier transform]]
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  • Also, I am confused about what is needed to define a Fourier series in DT as opposed to CT.
    242 B (50 words) - 16:13, 7 October 2008
  • ...ncept that I seem to struggle with is how to correctly compute the Fourier Series.
    88 B (16 words) - 17:25, 7 October 2008
  • ...analogy that a vector is to its components as a function is to its fourier series, but I don't know what these transforms are showing.
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  • [[Category:Fourier transform]] == Example of Computation of Fourier transform of a CT SIGNAL ==
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  • Fourier Series Transformation - I had problems in determining which frequency is the funde Fourier Transform -
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  • [[Category:Fourier transform]] == Example of Computation of Fourier transform of a CT SIGNAL ==
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  • 4. Compute the coefficients <math>a_{k}</math> of the Fourier series of the signal x(t) with period T = 4 defined by
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  • '''4.''' Compute the coefficients <math>a_k</math> of the Fourier series of the signal <math>x(t)</math> periodic with period <math>T=4</math> defin
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  • Compute the coefficients <math>a_k</math> of the Fourier series of the signal <math>x(t)</math> periodic with period <math>T=4</math> defin Next, we procede to calculate <math>a_k\,</math> Notice that the fourier transformation of a square signal is made up from sin waves with infinite n
    2 KB (300 words) - 07:39, 14 October 2008
  • 4. Compute the coefficients <math>a_{k} \!</math> of the Fourier series signal <math>x(t) \!</math> periodic with period <math>T = 4 \!</math> defi
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  • '''4.''' Compute the coefficients '''<math>a\ _k</math>''' of the Fourier series of the signal '''<math>x\ (t)</math>''' periodic with period '''<math>T\ =
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  • Compute the coefficients <math>a_k</math> of the Fourier series of the signal <math>x(t)</math> periodic with period <math>T=4</math> defin
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  • Compute the coefficients <math>a_k</math> of the Fourier series of the signal x(t) periodic with period T = 4 defined by
    1 KB (217 words) - 11:05, 15 October 2008
  • 4. Compute the coefficients <math>a_k</math> of the Fourier series of the signal x(t) periodic with period T=4 defined by
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  • 1) Take the fourier transform of every term: Now finally to find <math>\,h[n]</math>, take the inverse Fourier Transform:
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  • ==Continuous Time Fourier Transform Pair for Aperiodic and Periodic Signals== The Fourier transform exists if the signal is absolutely integrable or if the signal ha
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  • ...ling involves a function known as an impulse train. An impulse train is a series of impulses that are spaced out by a period T, known as the Sampling Period Taking the Fourier Transform of this function yields,
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  • We have a series of impulses in the time domain, but we want them to extend across, so we mu This is most easiest performed in the frequency domain with Fourier transforms. To most easily find <math>h_2(t)</math>, make sure that :
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  • [[Category:geometric series]] ...omega}\!</math> with <math>\omega\!</math> real, this summation equals the Fourier Transform of <math>h[n]\!</math>. When <math>z\!</math> is not restricted
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  • In order to get further insight into the relationship between the Fourier Transform and the Z-Transform it is useful to look at the complex plane or ...ourier transform as the z-transform on the unit circle, the periodicity of Fourier transform is easily seen.
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  • CT Fourier Transform Pair DT Fourier Transform Pair
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  • ...transforms, bi-lateral Laplace transforms, Z transforms, and discrete time Fourier transforms and an ability to compute the transforms and inverse transforms ===[[Chapter 3_ECE301Fall2008mboutin]]: Fourier Series Representation of Period Signals===
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  • ...se-Hulman. It was called Boundary Value Problems. We worked with Fourier Series and all that fun stuff. It was actually pretty fun. We used maple a lot s
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  • ...nce of Gaussian noise on both x and y. In some cases, PCA corresponds to a Fourier transform, such as the DCT used in JPEG image compression. Imagine an organism or machine which experiences a series of inputs from different sensors: x1, x2, x3, x4, . . . The machine is also
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  • ==Fourier Series== [[Fourier Series(3.6)_Old Kiwi]]
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  • DT Fourier Series
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  • Even odd Fourrier Series Coefficients ...a real periodic sequence with fundamental period <math>{N}_{0}</math> and Fourier coefficients <math>{c}_{k}={a}_{k}+j{b}_{k}</math> where ak and bk are both
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  • 1: Take the Fourier transform ([Meaning of Fourier Transform]) of the equation, ...sion ([Guide to Partial Fraction Expansion]) to facilitate use of inverse Fourier transform,
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  • ##[[Fourier Series representation of continuous-time periodic signals_Old Kiwi]] ##[[Fourier Series Representation of CT periodic signals_Old Kiwi]]
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  • Determine the Fourier Series co-efficient for the following continuous time periodic signals.Show the de
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  • ...If a discrete time singal x[n] is periodic with period N, then the Fourier series coefficients <math>a_k</math> of the signal x[n] is also periodic with peri ...tinuous-time periodic signal x(t) with period T = 5 whose non-zero Fourier series coefficients <math>a_k</math> are given by
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  • *Fourier Series ** PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409,
    9 KB (1,237 words) - 09:29, 5 October 2009
  • ...e exam will cover all material covered ''since'' the Midterm (including CT Fourier Transform). A list of topics include * CT Fourier Transform
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  • ==Multiplication Property of Continuous - Time Fourier Series== ...dic with period '''T''', we can expand it in a Fourier series with Fourier series coefficients '''<math>h_k</math>''' expressed in terms of those for x(t) an
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  • ..._0</math> to created the shifted signal <math>x(t-t_0)</math>, the Fourier series coefficients of the shifted will be <math>a_k e^{-jkw_0t_0}</math>, where < Let <math>a_k</math> be the Fourier series coefficients of <math>x(t)</math>, so
    1 KB (240 words) - 16:58, 8 July 2009
  • == Continous - Time Fourier Series: Time Reversal == Right-hand side of the equation has the form of a Fourier series synthesis equation for x(-t)
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  • '''== Time Shifting Property of Continuous-Time Fourier Series ==''' <br> The Fourier series coefficients <math>b_{k}</math> of the resulting signal y(t)=x(t-<math>t_{0
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  • * [[Geometric Series]] == Fourier Series ==
    1 KB (152 words) - 04:06, 23 July 2009
  • Fourier Series for discrete time signals.
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  • Discrete Time Fourier Series Coefficients
    117 B (21 words) - 18:02, 22 July 2009
  • CT Fourier Series Expansion - Walter Mulflur
    119 B (23 words) - 18:26, 22 July 2009

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