Search results for "Fourier" - Rhea

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• Lecture18ECE301S11
  ...ourier transform of a periodic signal. We found that we cannot compute the Fourier transform of such signals using the integral formula. However, we were abl We finished the lecture by discussing a few properties of the continuous-time Fourier transform.
  2 KB (215 words) - 14:12, 28 February 2011
• Fourier transform cosine CT ECE301S11
  = [[:Category:Problem_solving|Practice Question]] on Computing the Fourier Transform of a Continuous-time Signal = Compute the Fourier transform of the signal
  2 KB (276 words) - 10:25, 11 November 2011
• Fourier transform cosine no2 CT ECE301S11
  = [[:Category:Problem_solving|Practice Question]] on Computing the Fourier Transform of a Continuous-time Signal = Compute the Fourier transform of the signal
  2 KB (355 words) - 10:26, 11 November 2011
• Fourier transform periodic triangular pulse train CT ECE301S11
  = [[:Category:Problem_solving|Practice Question]] on Computing the Fourier Transform of a Continuous-time Signal = Compute the Fourier transform of the signal
  853 B (122 words) - 10:26, 11 November 2011
• Fourier transform periodic rectangular pulse train CT ECE301S11
  = [[:Category:Problem_solving|Practice Question]] on Computing the Fourier Transform of a Continuous-time Signal = Compute the Fourier transform of the signal
  1 KB (196 words) - 10:26, 11 November 2011
• Lecture19ECE301S11
  Today we discussed some important properties of the continuous-time Fourier transform (CTFT). I particular, we saw the duality property and the convolu ...er_Transform_(frequency_in_radians_per_time_unit)|Table of continuous-time Fourier transform pairs and properties]]
  1 KB (144 words) - 14:12, 28 February 2011
• Lecture20ECE301S11
  ...test. Get ready for the next lecture where we will begin talking about the Fourier transform for discrete-time signals!
  928 B (123 words) - 14:12, 28 February 2011
• HW5 ECE301 Spring2011 Prof Boutin
  ...[[CT_Fourier_Transform_%28frequency_in_radians_per_time_unit%29| table of Fourier transform pairs and properties]]. (Explain how you checked your answer.) Compute the Fourier transform of the signal
  4 KB (633 words) - 12:31, 2 March 2011
• Lecture21ECE301S11
  ...ay's lecture, we finished discussing the properties of the continuous-time Fourier transform. We then used these properties to obtain a simple expression for ...ansform of a discrete-time complex exponential. We then "guessed" what the Fourier transform of a discrete-time complex exponential should be. Our guess was s
  2 KB (346 words) - 14:13, 28 February 2011
• Fourier transform 3numinusn DT ECE301S11
  = [[:Category:Problem_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
• Fourier transform cosine DT ECE301S11
  = [[:Category:Problem_solving|Practice Question]] on Computing the Fourier Transform of a Discrete-time Signal = Compute the Fourier transform of the signal
  1 KB (161 words) - 10:27, 11 November 2011
• Fourier transform window DT ECE301S11
  = [[:Category:Problem_solving|Practice Question]] on Computing the Fourier Transform of a Discrete-time Signal = Compute the Fourier transform of the signal
  1 KB (203 words) - 10:28, 11 November 2011
• Problem on time shifting and time scaling property of Fourier transform ECE301S11Boutin
  ...oblem_solving|Practice Question]] on the Properties of the Continuous-time Fourier Transform = Let x(t) be a continuous time signal with Fourier transform <math class="inline">{\mathcal X} (\omega) </math>.
  2 KB (401 words) - 10:27, 11 November 2011
• Lecture22ECE301S11
  ...tant to both be able to use the Fourier transform properties and prove the Fourier transform properties".
  1 KB (162 words) - 12:46, 2 March 2011
• HW5 ECE301 Spring2011 Prof Boutin Solutions
  ...ever, changing the value of a signal at a single point does not change its Fourier transform. -pm </span> Now, since the Fourier transform (FT) is linear, we have that:
  10 KB (1,817 words) - 11:34, 7 March 2011
• Lecture23ECE301S11
  Today we finished the material on the discrete-time Fourier transform so we have now covered all the material for the second test. We a
  1,022 B (140 words) - 18:58, 4 March 2011
• HW6 ECE301 Spring2011 Prof Boutin
  *<span style="color:red"> 15 pts </span> for the computation of the Fourier transform of the continuous-time signal. Check every step of the computatio ...nition of the Fourier transform (i.e., the integral formula) to obtain the Fourier transform of either the constant function 1 or of the complex exponential f
  7 KB (1,161 words) - 18:50, 4 March 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
• Causal LTI System Difference Equation no1 ECE301S11
  ...complex constant. But I don't know how to compute that constant from the fourier transform.
  5 KB (793 words) - 10:28, 11 November 2011
• Lecture25ECE301S11
  ...ansform of the sampling of a band-limited signal consists of copies of the Fourier transform of the original signal. Satisfying Nyquist's condition insures th
  1 KB (182 words) - 08:37, 30 March 2011
• Discussion HW7 ECE301 Spring2011
  I think the table of DT Fourier Transform pairs has a mistake. where it says <math>(n-1)a^nu[n]</math> it s
  1 KB (258 words) - 06:25, 11 March 2011
• HW8 ECE301 Spring2011 Prof Boutin
  *<span style="color:red"> 15 pts </span> for the computation of the Fourier transform of the discrete-time signal. If an integral was used in place of *<span style="color:red"> 15 pts </span> for the computation of the inverse Fourier transform. If a summation was used in place of the integral, give zero poin
  6 KB (1,090 words) - 07:36, 22 March 2011
• HW7 ECE301 Spring2011 Prof Boutin Solutions
  ...corresponds to the part of the spectrum for k=0) to compute the inverse DT Fourier transform of the given signal:
  10 KB (1,783 words) - 08:23, 21 March 2011
• ECE301inBME
  ...discrete computer signals. Systems (maybe even [[Fourier_Transform_Video |Fourier]]/Laplace/[[Compute z-transform u n ECE301S11|Z transforms]] from [[2011 Sp ...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
• HW9 ECE301 Spring2011 Prof Boutin
  ...th class="inline"> T</math>. For each of the values of T below, sketch the Fourier transform of the sampling and indicate whether or not one can recover <mat
  3 KB (451 words) - 06:40, 1 April 2011
• 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
• Nyquist rate for a signal ECE301S11
  ...yle="color:red">Instructor's comment: Reality check: the only signal whose Fourier transform is a constant is an impulse. So your answer cannot possibly be co
  4 KB (666 words) - 10:29, 11 November 2011
• HW10 ECE301 Spring2011 Prof Boutin
  a) Sketch the spectrum (i.e., the Fourier transform) of y(t). ...form has exactly two poles located at s=-1 and s=-3, respectively. If the Fourier transform of <math class="inline"> g(t)=e^{2t}x(t)</math> converges, could
  5 KB (797 words) - 09:19, 7 April 2011
• Signal modulation with exponential ECE301S11
  Let x(t) be a signal whose Fourier transform <math>{\mathcal X} (\omega) </math> satisfies
  2 KB (393 words) - 10:31, 11 November 2011
• Signal modulation with cosine ECE301S11
  Let x(t) be a signal whose Fourier transform <math>{\mathcal X} (\omega) </math> satisfies
  2 KB (400 words) - 10:31, 11 November 2011
• HW9 ECE301 Spring2011 Prof Boutin Solutions
  ...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
• Hw1 ECE438F11
  ...9|table of CT Fourier transform pairs and properties]], which uses the CT Fourier transform in terms of frequency <math>f</math> in hertz. Note that we will In [[ECE301]], you learned that the Fourier transform of a step function <math>x(t)=u(t)</math> is the following:
  2 KB (400 words) - 03:53, 31 August 2013
• HW10 ECE301 Spring2011 Prof Boutin Solutions
  a) The Fourier series coefficients of <span class="texhtml">''c''(''t'')</span> are: and using the synthesis equation of the Fourier series we get:
  12 KB (2,109 words) - 05:58, 22 April 2011
• Nyquist rate after multiplicating sinc signals ECE301S11
  ...rm of the 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 ver In this chapter author introduces Laplace Transform and generalizes Fourier Transforms. Explanations and justifications are very good and useful, it do
  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 ver In this chapter author introduces Laplace Transform and generalizes Fourier Transforms. Explanations and justifications are very good and useful, it do
  6 KB (955 words) - 10:54, 6 May 2012
• Linearity Spring 2011
  Linearity can be used to simplify the Fourier transform. &nbsp;Integration and differentiation are also linear. &nbsp;Onc
  2 KB (255 words) - 10:50, 6 May 2012
• Fourier Transform Video
  =Video on the Fourier Transform= <player>ECE 301 Credit_0.avi|The Fourier Transform</player>
  234 B (31 words) - 10:52, 6 May 2012
• Book Review/Bhakti
  ...dedicated to LTI systems, Laplace Transfer of CT LTI systems, Z Transform, Fourier Analysis. Which means this book explains material covered over Midterms 1 a Fourier Analysis of CT Signals and Systems: This chapter corresponds to the fourth
  5 KB (802 words) - 16:44, 23 April 2013
• 2011 Fall ECE 438 Boutin
  **[[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)]] **[[Practice CTFT computation rect and sinc ECE438F11|Compute the Fourier transform of a rect and a sinc]]
  10 KB (1,359 words) - 03:50, 31 August 2013
• ECE438 Lab Fall 2011
  ...[https://www.projectrhea.org/rhea/images/f/f7/Fourier_series_expansion.pdf Fourier Series Example]<br/>
  3 KB (456 words) - 10:20, 12 October 2011
• 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
• Lecture1ECE438F11
  We finished the lecture with a discussion about the meaning of the Fourier transform and a video where Prof. Joe Havlicek illustrates this meaning usi
  2 KB (231 words) - 12:48, 21 September 2011
• Practice CTFT computation rect and sinc ECE438F11
  [[Category:Fourier transform]] Topic: Continuous-time Fourier transform computation (in terms of frequency f in hertz)
  7 KB (1,302 words) - 09:45, 11 November 2013
• Lecture2ECE438F11
  ...ced, and 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 cosine ECE438F11
  [[Category:discrete-time Fourier transform]] Topic: Discrete-time Fourier transform computation
  6 KB (1,000 words) - 12:33, 26 November 2013
• 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
• Practice CTFT from omega to f step function
  [[Category:Fourier transform]] Topic: Continuous-time Fourier transform: from omega to f
  7 KB (1,143 words) - 09:44, 11 November 2013
• Practice CTFT complex exponential ECE438F11
  [[Category:Fourier transform]] Topic: Continuous-time Fourier transform of a complex exponential
  3 KB (610 words) - 09:47, 11 November 2013