TOP FOURIER OPTICS
TOP FOURIER OPTICS ECE 510
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This 4 page Class Notes was uploaded by Miss Chadrick Doyle on Tuesday September 1, 2015. The Class Notes belongs to ECE 510 at Portland State University taught by Staff in Fall. Since its upload, it has received 7 views. For similar materials see /class/168243/ece-510-portland-state-university in ELECTRICAL AND COMPUTER ENGINEERING at Portland State University.
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Date Created: 09/01/15
Outline use Of the EXtended Kalman General concepts of active sonar Filter and the Particle Filter as Motivation smoothing filters State space model for the EKF Performance of the EKF as smoothing filter State space model for the PF How to use the PF for this application Conclusions Jorge E Quijano Portland State University ECE 510510 Statistical Slgnal Processlng ll Wlntel39 2005 is Active sonar Goal Use the EKF or the PF to obtain a better estimate of the position of the moving target In the dataset used a large error in the measurement of the bearing angle was observed Why is this important Accurate estimation of the position of a moving target has application in fields like defense ocean bottom mapping and shing The Extended Kalman Filter performance of the EKF I Gps position 39 EKF Estimate 7 MEI ZI P FY E 7 Q n o 00 5 Rn001 ycoordlnaielkm Decrease rncasurenmcnt and systeth house Performance of the EKF II 25 6P5 posl un EKF eslimate 11ng ammuun QnEO OOOS 7 yltoamlnakllm Mainland 11 mm 5 b EKF WIth tIme vli2t measurement Performance of the EKFW 25 69 Wllnnn EKF esumme m Ndsy ohsewancn um I Rnn u 1 3 1117 5 7mm 9 momma mm m yum m 1on ample General Idea of the PF mumstmbuted samp es parudes Assigi i new WeighB to new particles w wipe l 2 equauons X m it l Performance of the PF2000 particles long tailed pdf 25 quotmy observallun 4 pr mu SEW Moamlnakllmll l Conclusions The EKF can be used as a smoother as long as the nonlinear function that relates the observations to the system state is smooth For very noisy observations a mechanism to change the noise variance is required Performance of the PF2000 particles short tailed pdf my amenanon F l nule cps mmquot y oardlnilelkm II is xcaovdlnamkml Future work PF didn39t work as smoothing lter but can be used to estimate statistics of the data online Define a new state vector Full set of equations state space Questions Full set of equations observations Full set of equations PF