• * 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
  • ...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
  • ==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
  • == Discrete Fourier Transform == same formula as for discrete fourier series.
    2 KB (491 words) - 23:03, 22 September 2009
  • *[[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
  • '''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
  • ...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
  • ...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
  • [[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
  • ...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
  • *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
  • ...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
  • [[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
  • =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
  • ...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
  • [[Category:discrete Fourier transform]] Topic: Discrete Fourier Transform
    5 KB (766 words) - 14:22, 21 April 2013
  • 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
  • ...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
  • 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
  • *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
  • ...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
  • *[[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
  • ...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
  • ...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
  • ..._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
  • ...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
  • **[[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
  • *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
  • 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
  • [[Category:discrete Fourier transform]] Topic: Discrete Fourier Transform
    4 KB (735 words) - 14:19, 21 April 2013
  • [[Category:discrete Fourier transform]] Topic: Discrete Fourier Transform
    3 KB (513 words) - 14:20, 21 April 2013
  • ...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
  • ...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
  • *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
  • **[[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
  • *[[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
  • **[[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
  • *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
  • **[[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
  • *[[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
  • ...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
  • .../www.projectrhea.org/rhea/images/f/f7/Fourier_series_expansion.pdf Fourier Series Example]
    2 KB (380 words) - 08:18, 2 December 2014
  • *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 (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 (DTFT) ...function of a frequency as the variable, <math>\omega</math>. The Fourier series is:
    3 KB (535 words) - 19:30, 29 September 2014
  • *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
  • .../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
  • ...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
  • ...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
  • ** Fourier series representation of CT periodic signals and FS properties.
    2 KB (358 words) - 21:09, 1 August 2016

View (previous 50 | next 50) (20 | 50 | 100 | 250 | 500)

Alumni Liaison

Questions/answers with a recent ECE grad

Ryne Rayburn