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  • ECE 301 (SanSummer2008)
    ...ntinuous-Time and Discrete-Time_(ECE301Summer2008asan)|Continuous-Time and Discrete-Time]] ...ntation of continuous-time periodic signals_(ECE301Summer2008asan)|Fourier Series representation of continuous-time periodic signals]]
    7 KB (921 words) - 06:08, 21 October 2011
  • ECE301:SanSummer08:Exam II (ECE301Summer2008asan)
    ...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
    4 KB (815 words) - 10:57, 21 November 2008
  • ECE 301 Fall 2007 mboutin DT Fourier Series in Matlab
    [[Category: Fourier]] [[Category: Fourier Series]]
    5 KB (834 words) - 17:26, 23 April 2013
  • Table of Formulas and Properties ECE301Fall2008mboutin
    (Look at the syntax of the geometric series below for an example.) This will allow other people to refer to your formul ! colspan="2" style="background: #eee;" | Series
    8 KB (989 words) - 07:20, 5 February 2009
  • Reading guide (ECE438BoutinSpring2009)
    * PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409, ...38/FALL01/Fourier_notes1.pdf Prof. Pollak's supplementary notes on Fourier series]
    8 KB (1,226 words) - 11:40, 1 May 2009
  • HW4.2 Eric Zarowny ECE301Fall2008mboutin
    == Computing the Fourier series coefficients for a Discrete Time signal x[n] ==
    900 B (178 words) - 12:47, 25 September 2008
  • HW4.2 Sangwan Han ECE301Fall2008mboutin
    Discrete time Fourier series
    499 B (77 words) - 19:03, 25 September 2008
  • HW5.4 Daniel Morris ECE301Fall2008mboutin
    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
  • David Record: Sampling- A bridge between CT and DT ECE301Fall2008mboutin
    ...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,
    1 KB (274 words) - 06:49, 16 September 2013
  • HW11 SangMo Je ECE301Fall2008mboutin
    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.
    3 KB (537 words) - 17:27, 3 December 2008
  • Exam3 ECE301Fall2008mboutin
    CT Fourier Transform Pair DT Fourier Transform Pair
    21 KB (3,312 words) - 11:58, 5 December 2008
  • Final ECE301Fall2008mboutin
    ...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===
    7 KB (1,017 words) - 10:05, 11 December 2008
  • ECE662:Glossary Old Kiwi
    ...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
    31 KB (4,832 words) - 18:13, 22 October 2010
  • Frequency Response Example Old Kiwi
    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,
    1 KB (198 words) - 19:08, 4 April 2008
  • ECE301:SanSummer08 Old Kiwi
    ##[[Fourier Series representation of continuous-time periodic signals_Old Kiwi]] ##[[Fourier Series Representation of CT periodic signals_Old Kiwi]]
    4 KB (531 words) - 11:32, 25 July 2008
  • ECE301:SanSummer08:Exam II Old Kiwi
    ...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
    4 KB (803 words) - 11:10, 22 July 2008
  • Course Summary ECE438Fall09mboutin
    *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
  • Rob Swanson - ECE 301 Summer 2009
    Fourier Series for discrete time signals.
    116 B (22 words) - 13:45, 22 July 2009
  • DT FS Coefficients - Emily Thompson
    Discrete Time Fourier Series Coefficients
    117 B (21 words) - 18:02, 22 July 2009
  • ECE301 (BoumanFall2009)
    *Continuous Time Fourier Series (CTFS) ...engineering.purdue.edu/~bouman/ece301/notes/pdf2/FourierSeries.pdf Fourier Series Expansion]
    6 KB (785 words) - 06:02, 1 March 2010
  • Detailed Course Description
    * A knowledge of Fourier series and periodic signals. * An understanding of Fourier transforms for linear time invariant systems and the basics of sampling and
    7 KB (1,153 words) - 14:06, 24 August 2009
  • Student summary sampling part1 ECE438F09
    ...nformation is conveniently packaged within the complex coefficients of the Fourier Transform. So if it is understood that a sinsuoid must be sampled twice wit ...tation of x(t) with the frequency domain representation of p(t). Since the Fourier Transform of the comb is also an impulse train in the frequency domain, the
    8 KB (1,452 words) - 06:49, 16 September 2013
  • Speech Spectrogram
    ==Fourier Analysis and the Speech Spectrogram== ...culated to express these coefficients as a function of frequency. For the discrete-time case, the analysis equation is expressed as follows:
    8 KB (1,268 words) - 07:16, 23 September 2009
  • 9-21 lecture note
    == Discrete Fourier Transform == same formula as for discrete fourier series.
    2 KB (491 words) - 23:03, 22 September 2009
  • Collective Table of Formulas
    *[[PowerSeriesFormulas|Power Series]] (used in [[ECE301]], [[ECE438]]) **[[CT Fourier Transform (frequency in radians per time unit)|Continuous-time Fourier Transform Pairs and Properties]] (function of radial frequency- in radians
    3 KB (294 words) - 15:44, 12 March 2015
  • Introduction to Wavelets
    '''Taking Fourier's torch forward...''' ...e first person that comes to mind when someone says "SIGNAL PROCESSING" is Fourier.
    10 KB (1,646 words) - 11:26, 18 March 2013
  • Peer Legacy ECE301
    ...to take any courses related to signal processing. Also, your concepts of Fourier and Z transforms should be absolutely clear for signal processing (DSP ECE ...concepts,things will be easier.Complex analysis,functions,limits,geometric series lies in the heart of signals.Plotting various signals seemed so abstruse in
    14 KB (2,366 words) - 17:32, 21 April 2013
  • Snikitha ListECE301
    ...ng, quantization, and discrete-time processing of continuous-time signals. Discrete-time nonlinear systems: median-type filters, threshold decomposition. System des ...transforms, bilateral Laplace transforms, Z transforms, and discrete time Fourier transforms and an ability to compute the transforms and inverse transforms
    3 KB (394 words) - 07:08, 4 May 2010
  • My use for the DFT!
    [[Category:discrete Fourier transform]] In [[ECE301|ECE 301]] students were introduced to the concept of Fourier Transforms. No matter whom you had been taught by it seemed intimidating an
    13 KB (2,348 words) - 13:25, 2 December 2011
  • 2010 Fall ECE 438 Boutin
    ...ow Function]] (used when discussing leakage effect of signal truncation in discrete-time). ...ises of Fourier series computations for CT signals]], especially [[Fourier series coefficients student 1|this one]].
    9 KB (1,221 words) - 11:00, 22 December 2014
  • Lecture Schedule ECE438Fall10 Boutin
    *Fourier Series **PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409,
    9 KB (1,331 words) - 07:15, 29 December 2010
  • 2010 Fall ECE 301 Pollak
    ...Fourier_series_computation|A collective page to practice computing Fourier series of a CT signal]] ...rier_series_computation_DT|A collective page to practice computing Fourier series of a DT signal]]
    2 KB (211 words) - 05:39, 26 September 2011
  • Recommended exercise Fourier series computation DT
    [[Category:Fourier series discrete-time]] =This pages contains exercises to practice computing the Fourier series of a DT signal =
    2 KB (355 words) - 09:44, 29 December 2010
  • DT Fourier Coefficients Periodic Square wave
    =Exercise: Compute the DT Fourier series coefficients of the following discrete-time signal:= After you have obtained the coefficients, write the Fourier series of x[n].
    982 B (156 words) - 16:41, 30 November 2010
  • Lecture16ECE438F10
    ...or reconstructing the DTFT of a finite duration signal from the [[Discrete Fourier Transform|DFT]] of its periodic repetition. The formula was observed to hol ...ier series, as computing DFTs is essentially the same as computing Fourier series coefficients.
    1 KB (158 words) - 15:59, 8 October 2010
  • Practice question 1 eECE439F10
    [[Category:discrete Fourier transform]] Topic: Discrete Fourier Transform
    5 KB (766 words) - 14:22, 21 April 2013
  • Hw7ECE438F10
    Compute the discrete Fourier transform of the following discrete-time signals: How do your answers relate to the Fourier series coefficients of x[n]?
    4 KB (661 words) - 11:22, 30 October 2011
  • Decision Theory Glossary ECE662Spring2008
    ...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
    31 KB (4,787 words) - 18:21, 22 October 2010
  • ECE438 HW7 Solution
    Recall, the Discrete Fourier Transform is defined as follows - ...of the N samples comprising one period of x[n] equals N times the Fourier series coefficients.
    19 KB (3,208 words) - 11:23, 30 October 2011
  • 2011 Spring ECE 301 Boutin
    *Video Extract of a talk by Prof. Joe Havlicek explaining the meaning of the Fourier transform very clearly using music. *Computing the Fourier series coefficients of a CT signal
    18 KB (2,485 words) - 10:36, 11 November 2011
  • ECE301 signals systems learning material
    ...ll_2007_mboutin_Common_Questions_on_FS/FT_Answered_By_Mimi|Questions about Fourier transform of periodic signals, answered by Prof. Mimi]] *[[ECE_301_Fall_2007_mboutin_DT_Fourier_Series_in_Matlab|DT Fourier series with a single command in MATLAB]]
    6 KB (818 words) - 06:12, 16 September 2013
  • ECE301 signals systems formulas
    *[[PowerSeriesFormulas|Power Series]] *[[CT Fourier Transform (frequency in radians per time unit)|Continuous-time Fourier Transform Pairs and Properties]] (function of <span class="texhtml">ω</spa
    890 B (101 words) - 17:30, 21 April 2013
  • Fourier series coefficients sinusoidal DT ECE301S11
    ...ving|Practice Question]] on Computing the Fourier Series coefficients of a discrete-time (sampled) cosine wave = Obtain the Fourier series coefficients of the DT signal
    3 KB (548 words) - 10:24, 11 November 2011
  • Fourier series coefficients pulse train DT ECE301S11
    ...tegory:Problem_solving|Practice Question]] on Computing the Fourier Series discrete-time signal = Obtain the Fourier series the DT signal
    2 KB (264 words) - 10:25, 11 November 2011
  • Signals and systems practice problems list
    ..._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
  • Fourier transform 3numinusn DT ECE301S11
    ...roblem_solving|Practice Question]] on Computing the Fourier Transform of a Discrete-time Signal = Compute the Fourier transform of the signal
    1 KB (198 words) - 10:27, 11 November 2011
  • 2011 Fall ECE 438 Boutin
    **[[Problem Generalized Geometric Series Formula ECE438F11|When is this summation formula valid?]] **[[Practice CTFT from omega to f step function|Obtain the Fourier transform in terms of f of a step function (from FT in terms of omega)]]
    10 KB (1,359 words) - 03:50, 31 August 2013
  • Lecture Schedule ECE438Fall11 Boutin
    *Fourier Series **PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409,
    9 KB (1,341 words) - 03:52, 31 August 2013
  • Lecture14ECE438F11
    Having obtained the relationship between the DT Fourier transform of <math>x_1[n]</math> and that of an upsampling of x[n] by a fa We then began discussing the [[Discrete_Fourier_Transform|Discrete Fourier Transform]] (DFT).
    1 KB (213 words) - 06:24, 11 September 2013
  • Compute DFT practice no1 ECE438F11
    [[Category:discrete Fourier transform]] Topic: Discrete Fourier Transform
    4 KB (735 words) - 14:19, 21 April 2013
  • Compute DFT practice no2 ECE438F11
    [[Category:discrete Fourier transform]] Topic: Discrete Fourier Transform
    3 KB (513 words) - 14:20, 21 April 2013
  • 2011 Fall ECE 301 Pollak
    ...Fourier_series_computation|A collective page to practice computing Fourier series of a CT signal]] ...rier_series_computation_DT|A collective page to practice computing Fourier series of a DT signal]]
    2 KB (212 words) - 05:44, 26 September 2011
  • Lecture15ECE438F11
    ...of a finite duration signal and the [[Discrete_Fourier_Transform|Discrete Fourier Transform]] of its periodic repetition. ...es of Fourier series computations for DT signals]] (to brush up on Fourier series))
    1 KB (181 words) - 06:24, 11 September 2013
  • MathWorksTest
    *Please help! We need a [[Discrete_Fourier_Transform_table|table of Discrete Fourier transform pairs and properties]]! **[[Problem Generalized Geometric Series Formula ECE438F11|When is this summation formula valid?]]
    9 KB (1,273 words) - 20:52, 15 October 2011
  • Digital signal processing practice problems list
    **[[Problem Generalized Geometric Series Formula ECE438F11|When is this summation formula valid?]] **[[Practice CTFT from omega to f step function|Obtain the Fourier transform in terms of f of a step function (from FT in terms of omega)]]
    6 KB (801 words) - 22:04, 19 April 2015
  • 2012 ECE 301 Dr. Love
    *[[PowerSeriesFormulas|Power Series]] *[[CT Fourier Transform (frequency in radians per time unit)|Continuous-time Fourier Transform Pairs and Properties]] (function of <span class="texhtml">ω</spa
    2 KB (236 words) - 11:24, 21 September 2012
  • 2013 Spring ECE 301 Krogmeier
    **[[PowerSeriesFormulas|Power Series]] **[[CT_Fourier_Transform_(frequency_in_radians_per_time_unit)|Continuous-time Fourier Transform Pairs and Properties]] (function of <span class="texhtml">ω</spa
    6 KB (799 words) - 10:10, 15 May 2013
  • Lecture Schedule ECE438Fall13 Boutin
    *Fourier Series **PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409,
    9 KB (1,353 words) - 09:04, 11 November 2013
  • 2013 Fall ECE 544 Krogmeier
    **[[PowerSeriesFormulas|Power Series]] **[[CT_Fourier_Transform_(frequency_in_radians_per_time_unit)|Continuous-time Fourier Transform Pairs and Properties]] (function of <span class="texhtml">ω</spa
    4 KB (480 words) - 18:57, 10 December 2013
  • ECE438 digital signal processing learning material
    *[[CT_DT_Fourier_transform_ECE438F10|Summary of CT and DT Fourier transform]] *[[Discrete_Fourier_transform_ECE438F10|Discrete Fourier transform]]
    4 KB (471 words) - 19:34, 9 February 2015
  • 2016 Summer ECE 301 Shenk
    ...alculate the Fourier series coefficients of a period CT signal (DT Fourier series will NOT be on the exam). (3.28a(subparts abc), 3.22, 3.31, 3.28d, 3.47) * Tables for [[Media:ECE301Summer2016_table3p1.png| Fourier series]], [[Media:ECE301Summer2016_table4p1.png| CTFT properties]], and [[Media:EC
    6 KB (765 words) - 13:35, 4 August 2016
  • ECE438 Lab Fall 2014
    .../www.projectrhea.org/rhea/images/f/f7/Fourier_series_expansion.pdf Fourier Series Example]
    2 KB (380 words) - 08:18, 2 December 2014
  • Lecture Schedule ECE438Fall14 Boutin
    *Fourier Series **PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409,
    9 KB (1,320 words) - 04:46, 11 September 2014
  • Discrete-time Fourier transform Xian Zhang ECE438 slecture
    Discrete-time Fourier Transform (DTFT) ...function of a frequency as the variable, <math>\omega</math>. The Fourier series is:
    3 KB (515 words) - 20:02, 16 March 2015
  • Discrete-time Fourier transform Zian Zhang ECE438 slecture
    Discrete-time Fourier Transform (DTFT) ...function of a frequency as the variable, <math>\omega</math>. The Fourier series is:
    3 KB (535 words) - 19:30, 29 September 2014
  • Lecture Schedule ECE438Fall15 Boutin
    *Fourier Series **PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409,
    10 KB (1,356 words) - 13:19, 19 October 2015
  • ECE438 Lab Spring 2015
    .../www.projectrhea.org/rhea/images/f/f7/Fourier_series_expansion.pdf Fourier Series Example] ...: [https://engineering.purdue.edu/VISE/ee438L/lab7/pdf/lab7a.pdf Lab 7a - Discrete-Time Random Processes]
    2 KB (384 words) - 11:44, 21 April 2015
  • 2015 Summer ECE 301 Jang
    ...tter size both-sided crib sheet is allowed. Closed-book and no calculator. Fourier Transform Tables (both CTFT and DTFT) will be given. Chap 3. Fourier Series for Periodic Signals
    6 KB (748 words) - 21:35, 10 August 2015
  • 2015 Fall ECE 438 Boutin A visual explanation of aliasing and repetition with the DTFT Erik Swan
    ...is the Discrete Time Fourier Transform (DTFT). Unlike the Continuous Time Fourier Transform (CTFT), the DTFT of a signal is periodic with period <math>2\pi</ ...sume the reader has a good intuitive understanding of the CTFT and Fourier series, and is generally familiar with the DTFT.
    12 KB (2,004 words) - 20:37, 2 December 2015
  • ECE301Su2016 Notes
    ** Fourier series representation of CT periodic signals and FS properties.
    2 KB (358 words) - 21:09, 1 August 2016
  • Lecture Schedule ECE438Fall16 Boutin
    *Fourier Series **PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409,
    10 KB (1,357 words) - 17:02, 14 September 2016
  • Lecture Schedule ECE438Spring17 Boutin
    *Fourier Series **PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409,
    10 KB (1,357 words) - 09:45, 8 January 2017
  • The Laurent Series in DSP
    <big>'''The Laurent Series in DSP'''</big> ...'z''') as well. The Laurent Series is the link in DSP between the Discrete Fourier Transform ('''DFT''') and the Z-Transform.
    6 KB (931 words) - 23:40, 23 April 2017
  • FourierSeriesConvergenceBonusProject
    =Convergence of Parametric Fourier Series Approximations= ...hich are steadily reconstructed using more and more terms of their Fourier Series and displayed graphically via MATLAB.<br />
    2 KB (403 words) - 23:36, 11 November 2018
  • Use of Fourier Transforms in MP3 Audio Compression
    =Use of Fourier Transforms in MP3 Audio Compression= ...MP3, the sound samples are transformed using methods that involve Fourier Series Transformations. A frequency analysis of the sound is the basis for this tr
    5 KB (752 words) - 17:40, 2 December 2018
  • 2019 Spring ECE301 Boutin Fourier series coefficients
    <center><font size= 4>Fourier Series Coefficients</font size> I am going to compute some Fourier series coefficients. I have done 3 in both CT and DT, with explanations as to how
    5 KB (951 words) - 21:55, 30 April 2019
  • Lecture Schedule ECE438Fall2019 Boutin
    *Fourier Series **PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409,
    10 KB (1,356 words) - 18:52, 20 August 2019

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