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  • Final ECE301Fall2008mboutin
    ...me Fourier transforms and an ability to compute the transforms and inverse transforms of basic examples using methods such as [[partial fraction expansion_ECE301 ===[[Chapter 3_ECE301Fall2008mboutin]]: Fourier Series Representation of Period Signals===
    7 KB (1,017 words) - 10:05, 11 December 2008
  • Chapter 9 ECE301Fall2008mboutin
    ...</math> and if <math> \sigma = 0 </math> then this equation reduces to the Fourier Transform of <math>x(t)</math>. Indeed, the LT can be viewed as the FT of t 2. '''The Region of Convergence for Laplace Transforms''' (To Infinity or Converge!)
    5 KB (911 words) - 07:54, 8 December 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
  • Hw3ECE438F09boutin
    [[Fourier Optics]] --[[User:mamitche|mamitche]] [[Speech_Spectrogram|Fourier Analysis of Human Speech]] -- [[User:crtaylor|crtaylor]]
    4 KB (543 words) - 07:02, 25 August 2010
  • MA598R (WeigelSummer2009)
    ...98R pweigel Summer 2009 Lecture 7|Problem Set 7 - Convolutions and Fourier Transforms]]
    2 KB (216 words) - 05:51, 11 June 2013
  • Midterm Cheat Sheet
    == Fourier Series == * [[CT Fourier series expansion]]
    1 KB (152 words) - 04:06, 23 July 2009
  • Basic CT Fourier transforms
    [[Basic Continuous Time Fourier Transforms (CTFT) - Shannon Abrell]]
    68 B (9 words) - 04:07, 23 July 2009
  • Final Cheat Sheet
    == CT Fourier Transform (Book chapter 4)== * [[CT Fourier transform]]
    1 KB (118 words) - 01:11, 30 July 2009
  • ECE301 (BoumanFall2009)
    *Overview of Transforms ...engineering.purdue.edu/~bouman/ece301/notes/pdf/transforms.pdf Overview of Transforms]
    6 KB (785 words) - 06:02, 1 March 2010
  • Peer Legacy ECE202
    ...440), bode plots (ECE382), and Laplace transforms (these roll into Fourier Transforms). The second year courses are the ones that count the MOST in your ECE care ...cations. This would probably the first time you see laplace transforms, or transforms of any kind, and a good understanding of those concepts (why it is done, di
    7 KB (1,297 words) - 11:41, 10 December 2011
  • Laplace Transform Definition - Vishal Ramani
    The difference between '''Laplace Transforms(L.T.)''' and '''Fourier Transforms(F.T.)''' is that the '''F.T.''', '''X(w)''', of a signal, '''x(t)''', is si
    388 B (72 words) - 06:39, 29 July 2009
  • 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 its applic
    7 KB (1,153 words) - 14:06, 24 August 2009
  • Course Syllabus with Homework Due Dates
    |Homework 5 due – Orthonormal Transforms |Homework 6 due – Fourier Series
    1 KB (190 words) - 15:00, 24 August 2009
  • Student summary CT DT Fourier transform ECE438F09
    CTFT ( Continuous Time Fourier Transform ) DTFT ( Discrete Time Fourier Transform )
    2 KB (375 words) - 04:11, 3 September 2009
  • Fourier Transforms and its Properties
    ==Fourier Transform and its basic Properties:== ===Fourier Transform:===
    1 KB (218 words) - 07:34, 25 August 2010
  • Fourier Optics
    ...al system. In this article I will go over a simple example of how to use a Fourier transform to describe the diffraction pattern encountered when light passes where 2a is the width of the slit. Now, taking the Fourier transform of the aperture shape we get:
    2 KB (286 words) - 10:19, 23 September 2009
  • Collective Table of Formulas
    = Transforms = *1D Transforms
    3 KB (294 words) - 15:44, 12 March 2015
  • Peer Legacy ECE301
    ...ctions as you do stuff to them. In other words, don't see it as a bunch of transforms and equations; you'll hate it then. ...ourses related to signal processing. Also, your concepts of Fourier and Z transforms should be absolutely clear for signal processing (DSP ECE 438).--[[User:Hla
    14 KB (2,366 words) - 17:32, 21 April 2013
  • Peer Legacy ECE438
    ...h more interesting than the endless [[More_on_CT_Fourier_transform|Fourier transforms]] of ECE301. To attain success: '''go to class!''' Missing a single day wil ...The first half of the course will be the not so interesting Fourier and Z transforms but the latter part will be real world image and sound processing. One will
    17 KB (3,004 words) - 08:11, 15 December 2011
  • PeerLegacyMA265
    ...of these systems can be found in ME statics and ECE circuit analysis and Fourier transformations. It’s important to do and keep up with all of the homewor ...was very helpful for me to understanding ECE 301 materials such as Fourier transforms and matrix calculations. Practice is needed in order to learn this class we
    3 KB (557 words) - 13:26, 12 December 2013
  • Discrete Fourier Transform table
    Discrete Fourier transforms (DFT) Pairs and Properties ...colspan="2" | Discrete Fourier Transform Pairs and Properties [[Discrete Fourier Transform|(info)]]
    4 KB (633 words) - 15:28, 23 April 2013
  • Snikitha ListECE301
    ...ansform. Discrete-time linear systems: difference equations, Discrete-Time Fourier Transform, bilateral z-Transform. Sampling, quantization, and discrete-time ...me Fourier transforms and an ability to compute the transforms and inverse transforms of basic examples using methods such as partial fraction expansions.
    3 KB (394 words) - 07:08, 4 May 2010
  • My use for the DFT!
    [[Category:discrete Fourier transform]] ...reek letter has been added. So the goal should be to make such math (these transforms rather) and relate them to real life, not just by telling us where it used
    13 KB (2,348 words) - 13:25, 2 December 2011
  • 2010 Fall ECE 438 Boutin
    ..._inverse_z-transforms_ECE438F10|questions about z-transforms and inverse-z-transforms]] ...ed exercises 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
  • Lecture2ECE438F10
    In the second lecture, we introduced the CT Fourier transform in terms of frequency "f" and discussed its relationship with the ...ent_summary_CT_DT_Fourier_transform_ECE438F09|Summary of CT and DT Fourier transforms]]
    1 KB (212 words) - 04:24, 27 October 2010
  • Lecture5ECE438F10
    ...format as the one use for this [[Laplace_Transforms_Table|table of Laplace transforms]].)
    2 KB (233 words) - 07:52, 7 September 2010
  • Sampling pure frequencies ECE438F10
    ...is the idea. But you should also note the similarities between the Fourier transforms (not just the differences). --[[User:Mboutin|Mboutin]] 12:07, 7 September 2
    1 KB (222 words) - 08:07, 7 September 2010
  • Recommended exercise Fourier series computation
    [[Category:Fourier series continuous-time]] = This pages contains exercises to practice computing the Fourier series of a CT signal =
    5 KB (797 words) - 09:43, 29 December 2010
  • Lecture8ECE438F10
    In Lecture #8, I showed by example how to compute inverse z-transforms. I gave students two exercises (case b) and case c) in your notes) to try a For those of you wishing to brush up on Fourier series, here are two collective study pages:
    875 B (123 words) - 12:42, 10 September 2010
  • CT DT Fourier transform ECE438F10
    [[Category:Fourier transform]] == The Continuous Time Fourier Transform (CTFT) ==
    4 KB (746 words) - 08:47, 11 November 2013
  • Table DT Fourier Transforms
    [[Category:Fourier transform]] [[Discrete-time_Fourier_transform_info|Discrete-time (DT) Fourier Transforms]] Pairs and Properties
    7 KB (1,037 words) - 21:05, 4 March 2015
  • DTFT rectangular window
    =About the Fourier Tranform of a Rectangular Window in discrete-time= [[Table_DT_Fourier_Transforms|Back to the table of DT Fourier transforms]]
    382 B (52 words) - 12:59, 22 October 2010
  • Lecture36ECE438F10
    ...understanding how to extent these to the 2D versions of the other Fourier transforms we say (e.g., DTFT and DFT). We also defined some basic 2D signals. [[Category:continuous-space Fourier transform]]
    977 B (131 words) - 09:30, 11 November 2011
  • Info multiplication property FT w
    =About the Multiplication Property of the continuous-time Fourier transform= The multiplication property of the continuous-time Fourier transform can be stated as follows:
    751 B (105 words) - 16:17, 30 November 2010
  • 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 formulas
    *[[CT Fourier Transform (frequency in radians per time unit)|Continuous-time Fourier Transform Pairs and Properties]] (function of <span class="texhtml">ω</spa *[[Table DT Fourier Transforms|Discrete-time Fourier Transform Pairs and Properties]]
    890 B (101 words) - 17:30, 21 April 2013
  • Signals and systems practice problems list
    *[[CT_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
  • Lecture17ECE301S11
    ...ible to compute; this was exemplified when we tried to compute the inverse Fourier transform of the constant function 1. *Solve the following practice problem on CT Fourier transform.
    1 KB (161 words) - 14:12, 28 February 2011
  • HW7 ECE301 Spring2011 Prof Boutin
    ...en check your answer using this [[Table_DT_Fourier_Transforms| table of DT Fourier transform pairs and properties]]. (Explain how you checked your answer.) ...ransform (i.e., the integral formula) to compute the inverse Discrete-time Fourier transform of the signal
    4 KB (695 words) - 18:23, 7 March 2011
  • ECE301inBME
    ...r_Transform_Video |Fourier]]/Laplace/[[Compute z-transform u n ECE301S11|Z transforms]] from [[2011 Spring ECE 301 Boutin|ECE301]]!) are utilized to convert, fil ...nications, and networking. Imaging techniques involving diffraction and/or Fourier analysis with application to tomography, magnetic resonance imaging, synthe
    17 KB (2,368 words) - 10:53, 6 May 2012
  • Nyquist rate for a sinc function
    Yes, this signal is band limited. It is a sinc function, and its Fourier transform can be found using the table of formulas in the textbook on page ...in the correct max frequency of the signal. It would be ok to say that the Fourier transform is a non-zero constant multiple of a low-pass filter with gain 1
    3 KB (431 words) - 10:28, 11 November 2011
  • HW9 ECE301 Spring2011 Prof Boutin Solutions
    ...says that <br> <math>\frac{2 \sin \left( W t \right)}{\pi t } \ </math> transforms to <math>\left\{\begin{array}{ll}1, & \text{ if }|\omega| <W,\\ 0, & \text ...he Fourier transform of the CT signal representing the sampling in CT. The Fourier transform of the DT signal obtained by storing the values of the samples in
    9 KB (1,462 words) - 07:01, 22 April 2011
  • Nyquist rate after multiplicating sinc signals ECE301S11
    ...e product of two functions is (1/2pi) times the convolution of the Fourier transforms of the individual functions.
    2 KB (336 words) - 10:31, 11 November 2011
  • Review of an alternative book by M.J. Roberts
    In this chapter author explains Fourier Series and Fourier Transforms of CT signals. The explanation is very good and clear. It is very similar t ...in more general form and it is very good because ECE students use Laplace Transforms everywhere and it is very easy to follow the chapter especially with the cl
    6 KB (972 words) - 06:29, 1 November 2011
  • Book Review: Signals & Systems MJR
    In this chapter author explains Fourier Series and Fourier Transforms of CT signals. The explanation is very good and clear. It is very similar t ...in more general form and it is very good because ECE students use Laplace Transforms everywhere and it is very easy to follow the chapter especially with the cl
    6 KB (955 words) - 10:54, 6 May 2012
  • 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
  • Lecture2ECE438F11
    ...in the [[Lecture3ECE438F11|next lecture]], we shall compute their Fourier transforms. **[[practice_CTFT_computation_rect_and_sinc_ECE438F11|Compute the Fourier transform of a rect and a sinc]]
    2 KB (285 words) - 12:48, 21 September 2011
  • Lecture3ECE438F11
    ...he definition, but we found a way around that problem by using the inverse Fourier transform formula to guess the answer. **[[Practice DTFT computation cosine ECE438F11|What is the Fourier transform of this DT cosine?]]
    2 KB (252 words) - 12:48, 21 September 2011
  • Practice DTFT computation rect ECE438F11
    [[Category:discrete time Fourier transform]] Topic: Discrete-time Fourier transform computation
    6 KB (1,090 words) - 12:35, 26 November 2013

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