PPT-Chapter 11 Fourier Series

Chapter 11 Fourier Series 2 3 FIGURE 1121 Piecewisecontinuous function f in Example 1 4 FIGURE 1122 Piecewisecontinuous derivative f in Example 2 5 FIGURE 1123 Periodic extension of function. Fourier Series Vs. Fourier Transform. We use Fourier Series to represent periodic signals. We will use Fourier Transform to represent non-period signal.. Increase T. o. . to. infinity. (periodic). aperiodic. Raymond Flood. Gresham Professor of Geometry. Joseph Fourier (1768–1830). Fourier’s life. Heat Conduction. Fourier’s series. Tide prediction. Magnetic compass. Transatlantic cable. Conclusion. Overview. Periodic Signals. 3.1 Exponential/Sinusoidal Signals as . Building Blocks for Many Signals. Time/Frequency Domain Basis Sets. Time . Domain. Frequency Domain.  .  .  .  .  . .  . .  .  .  . The Fourier Transform. Development of Fourier Analysis. In 1748 Leonhard Euler used linear combinations of “normal modes” to describe the motion of a vibrating string. If the configuration at some point in time is a linear combination of normal modes, so is the configuration at any subsequent time. MatLab. Lecture 11:. Lessons Learned from the Fourier Transform. . Lecture 01. . Using . MatLab. Lecture 02 Looking At Data. Lecture 03. . Probability and Measurement Error. . Lecture 04 Multivariate Distributions. Periodic Signals. 3.1 Exponential/Sinusoidal Signals as . Building Blocks for Many Signals. Time/Frequency Domain Basis Sets. Time . Domain. Frequency Domain.  .  .  .  .  . .  . .  .  .  . John Dickey. University of Tasmania. Including slides from . Bob Watson. Synthesis Imaging School -- Narrabri, Sept. 2014. Outline. One dimensional functions. Fourier Series equations and examples. Fourier Transform examples and principles. Dept. of Electrical and Computer Engineering. The University of Texas at Austin. EE . 313 Linear Systems and Signals Fall 2017. Lecture 3 . http://. www.ece.utexas.edu. Junlin. . Hou. Huangyan. Pan. Yifan. Li. Jie. Liu. Mathematics and Music. The explanation of Fourier analysis in musicology. The application of the theory. Summary. contents. Mathermatics and Music. , Ch . 10.3: . The . Fourier Convergence . Theorem. Elementary Differential Equations and Boundary Value Problems, 10. th. edition, by William E. Boyce and Richard C. . DiPrima. , ©2013 by John Wiley & Sons, Inc. . MatLab. Lecture 11:. Lessons Learned from the Fourier Transform. . Lecture 01. . Using . MatLab. Lecture 02 Looking At Data. Lecture 03. . Probability and Measurement Error. . Lecture 04 Multivariate Distributions. Department of Biological Sciences. National University of Singapore. http://. www.cs.ucdavis.edu. /~. koehl. /Teaching/BL5229. koehl. @. cs.ucdavis.edu. Fourier analysis: the dial tone phone. We use Fourier analysis everyday…without knowing it! A dial tone. Vijay . Datar. Department of Engineering Sciences. International Institute of Information Technology, I²IT. www.isquareit.edu.in. . Fourier Series. Learning Objectives. :-. LO1:- Periodic Functions and their expansion as Fourier Series. . Sergeevich. . Nikitin. Assistant. Tomsk Polytechnic University. email: . NikitinDmSr@yandex.ru. Lecture-. 8. Additional chapters of mathematics. 1. 2. The central starting point of Fourier analysis is .