• ...s it take per output point to implements the complete system with a single convolution.
    3 KB (471 words) - 10:25, 13 September 2013
  • To implement the complete system with a single convolution: ...(2N+1)^2 </math> multiplies to implement the complete system with a single convolution.
    4 KB (739 words) - 10:07, 13 September 2013
  • ...formula for the pdf of a sum of independent random variables (namely, the convolution of their respective pdf's).
    2 KB (286 words) - 09:11, 29 March 2013
  • ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|Convolution Back Projection]]
    2 KB (246 words) - 07:21, 26 February 2014
  • ...h(x,y)</math>. The image you form on the focal plane array is given by the convolution of the ideal image you should have formed with the PSF of the system. ...tor (or assume that <math>|M| = 1</math>), the resulting image is like the convolution of what the image should have been with the PSF of the system.
    7 KB (1,274 words) - 07:24, 26 February 2014
  • 2D Convolution Algorithm --peter.s.mc.kinnis.1, Tue, 22 Jan 2008 16:44:33 -0500 reply ...ng if this is how we are suposed to impliment, or if I should just write a convolution in the space domain?
    10 KB (1,756 words) - 08:05, 9 April 2013
  • ...and the autocorrelation of the input. More specifically, the output is the convolution of the autocorrelation of the input with the unit impulse response of the s
    4 KB (545 words) - 07:12, 24 April 2013
  • ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|Convolution Back Projection]] ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|convolution back projection (CPB)]] to perform the computation.
    8 KB (1,168 words) - 07:24, 26 February 2014
  • ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|Convolution Back Projection]] ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|Convolution Back Projection]] ([[ECE637_tomographic_reconstruction_convolution_back_pro
    4 KB (443 words) - 07:24, 26 February 2014
  • ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|Convolution Back Projection]] ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|convolution back projection]]
    9 KB (1,390 words) - 07:24, 26 February 2014
  • ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|Convolution Back Projection]]
    6 KB (913 words) - 07:24, 26 February 2014
  • ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|Convolution Back Projection]]
    6 KB (834 words) - 07:25, 26 February 2014
  • ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|Convolution Back Projection]] <font size= 3> Subtopic 7: Convolution Back Projection </font size>
    9 KB (1,486 words) - 07:25, 26 February 2014
  • ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|Convolution Back Projection]]
    6 KB (942 words) - 07:25, 26 February 2014
  • ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|Convolution Back Projection]] ...ECE637_tomographic_reconstruction_convolution_back_projection_S13_mhossain|convolution back projection]] is the most commonly used method to recover the image and
    9 KB (1,485 words) - 12:30, 17 April 2014
  • Since <math>f_X(x) </math> is the convolution of two even functions, <math>f_X(x)</math> is also even. (proof)<br/>
    6 KB (1,084 words) - 13:20, 13 June 2013
  • ...rdue.edu/~bouman/ece438/lecture/module_1/1.2_systems/1.2.2_convolution.pdf Convolution, pp. 87-92, 97-110] ...~bouman/ece438/lecture/module_1/1.6_dft/1.6.5_periodic_convol.pdf Circular Convolution]
    9 KB (1,353 words) - 09:04, 11 November 2013
  • ...a few important properties of the FT (namely, duality, multiplication, and convolution) and we computed the Fourier transform of some basic signals (namely, Dirac Someone asked how to get rid of the <math>2\pi</math> in front of the convolution in the multiplication property and I promised to answer on course blog. So,
    3 KB (505 words) - 06:56, 2 September 2013
  • | align="right" style="padding-right: 1em;" | [[Explain_CTFT_convprop|convolution property]]
    5 KB (768 words) - 05:49, 9 September 2013
  • ...1} </math> :<span style="color:blue"> Grader's comment: Use x instead of convolution symbol </span>
    6 KB (1,011 words) - 12:54, 26 November 2013
  • ...an style="color:green"> (Instructor's comment: Be careful! You do not mean convolution here, do you? Then you should use <math>\times</math> instead of <math>*</m
    8 KB (1,294 words) - 12:55, 26 November 2013
  • ** [[HonorsContractECE438CBP|Convolution Back Projection (CBP)]]
    3 KB (389 words) - 18:10, 23 February 2015
  • ...rdue.edu/~bouman/ece438/lecture/module_1/1.2_systems/1.2.2_convolution.pdf Convolution, pp. 87-92, 97-110] ...~bouman/ece438/lecture/module_1/1.6_dft/1.6.5_periodic_convol.pdf Circular Convolution]
    6 KB (759 words) - 08:10, 11 November 2013
  • The Laplace Transform of the convolution in 1a would be the of the convolution. But they also want you to
    11 KB (1,959 words) - 17:57, 10 November 2013
  • Today we moved to the topic of image processing. We stated the formula for 2D convolution (in discrete-space). We used this formula to express the output of a discr
    2 KB (315 words) - 06:46, 15 November 2013
  • First, write R<math>_Y(\tau)</math> as a convolution. From before, we have that <br/>
    8 KB (1,476 words) - 12:13, 21 May 2014
  • ...(x) * \frac{1}{V_j} \phi(\frac{-x}{h_j}) \right ) \Bigg|_{x_0} \leftarrow Convolution </math>
    12 KB (2,086 words) - 10:54, 22 January 2015
  • ...there are two ways to define each of these operators: using multiplication/convolution with an impulse train, or using a summation formula without impulse-train. ...transform of an impulse-train. You do not need to prove the multiplication/convolution property of the CTFT, but state it clearly whenever you need to use it.) DE
    13 KB (1,944 words) - 16:51, 13 March 2015
  • ...e438/lecture_notes/legacy_notes/module_1/1.2_systems/1.2.2_convolution.pdf Convolution, pp. 87-92, 97-110] ...ure_notes/legacy_notes/module_1/1.6_dft/1.6.5_periodic_convol.pdf Circular Convolution]
    9 KB (1,320 words) - 04:46, 11 September 2014
  • ...a few important properties of the FT (namely, duality, multiplication, and convolution) and we computed the Fourier transform of some basic signals (namely, Dirac
    3 KB (393 words) - 06:37, 27 August 2014
  • We can transform the representation with convolution formula to another and vice versa.
    5 KB (768 words) - 18:51, 16 March 2015
  • ...-domain. I really liked the in depth analysis of the simplification of the convolution of x(t) and the impulse train. That was helpful for me. Overall, I liked th
    7 KB (1,226 words) - 05:30, 15 October 2014
  • ...rier Transformation, the multiplication in the time domain is equal to the convolution in the frequency domain.</font size>
    4 KB (610 words) - 18:55, 16 March 2015
  • Performing the convolution in the time domain
    7 KB (1,178 words) - 20:16, 18 December 2014
  • Using the convolution property:
    4 KB (734 words) - 18:56, 16 March 2015
  • ...helped me see the correlations between the two, particularly that one is a convolution and the other is a multiplication.
    6 KB (1,033 words) - 05:33, 15 October 2014
  • ...system, the multiplication that occurred in the frequency domain must be a convolution in the time domain. Because of the delta-functions in the sampling, the rec ...b of delta-functions manifests as multiple copies of the signal undergoing convolution. Thus, <math>X_{2s}(f)</math> appears as <math>T^{-1}</math>-periodic copie
    10 KB (1,650 words) - 19:04, 16 March 2015
  • ...thcal{F}(x(t)) = X(f) </math>, we can find <math> X_s(f) </math> using the convolution property.
    6 KB (1,008 words) - 19:04, 16 March 2015
  • Then, this can be brought into the radial frequency domain. Multiplication is convolution in the frequency domain, therefore:
    2 KB (406 words) - 19:06, 16 March 2015
  • </math> Multiplication in time is equal to convolution in frequency. <br> <math>
    2 KB (335 words) - 09:57, 14 March 2015
  • ...figures clearly show how to downsample a signal. Some small mistakes are a convolution symbol in your first derivation that should not be there, your sum for the
    3 KB (405 words) - 05:41, 15 October 2014
  • ...rep that it is a signal multiplied by an impulse train when it actually a convolution. Demonstrating the comb with an actual comb was a great illustration. It wo
    2 KB (431 words) - 05:33, 15 October 2014
  • Topic 4: [[HonorsContractECE438CBP|Convolution Back Projection (CBP)]]
    2 KB (259 words) - 19:30, 9 February 2015
  • ...pled, finite duration, voiced phoneme. Recall that a voiced phoneme is the convolution of a pulse-train and and the unit impulse response of the vocal tract (assu
    2 KB (329 words) - 06:44, 24 November 2014
  • ...moved to the topic of image processing. We stated from the formula for 2D convolution (in discrete-space) expressing the output of a discrete-space LTI system in
    3 KB (373 words) - 07:08, 24 November 2014
  • ...ical implementation is unfeasible. This leads to [[HonorsContractECE438CBP|convolution back projection]], which is currently the most common reconstruction method
    8 KB (1,252 words) - 19:26, 9 February 2015
  • =Extracting the Line Integral for Convolution Back Projection= ...Once all the line integrals have been computed, [[HonorsContractECE438CBP|convolution back projection]] can be used to produce slices for each line integral whic
    7 KB (1,072 words) - 19:25, 9 February 2015
  • <font size="5">Convolution/Fourier Back Projection Algorithm</font> Convolution Back Projection (CBP) offers a reconstruction method that is not computatio
    6 KB (927 words) - 19:26, 9 February 2015
  • ...e438/lecture_notes/legacy_notes/module_1/1.2_systems/1.2.2_convolution.pdf Convolution, pp. 87-92, 97-110] ...ure_notes/legacy_notes/module_1/1.6_dft/1.6.5_periodic_convol.pdf Circular Convolution]
    10 KB (1,356 words) - 13:19, 19 October 2015
  • : [[Media:Add1.pdf|Summary of Some Convolution Results and Properties]] <br /> :[[Media:301Quiz2.pdf|Quiz 2. Convolution of Two Rectangles]] <br />
    6 KB (748 words) - 21:35, 10 August 2015

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Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang