Transcript Document
EIE/ENE 208 Electrical Engineering Mathematics ENE 208 Electrical Engineering Mathematics Discrete Fourier Transform King Mongkut’s University of Technology Thonburi 7/21/2015 1 EIE 211 Electronic Devices and Circuit Design II The DTFT is the reverse of the Fourier series, in that the latter has a continuous, periodic input and a discrete spectrum. The DFT and the DTFT can be viewed as the logical result of applying the standard continuous Fourier transform to discrete data. From that perspective, we have the satisfying result that it's not the transform that varies, it's just the form of the input: If it is discrete, the Fourier transform becomes a DTFT. If it is periodic, the Fourier transform becomes a Fourier series. If it is both, the Fourier transform becomes a DFT. King Mongkut’s University of Technology Thonburi 7/21/2015 2 EIE 211 Electronic Devices and Circuit Design II 3 EIE 211 Electronic Devices and Circuit Design II Sampling and Discrete Signals By Prof. Peter Cheung: Dept. of Electrical & Electronic Engineering Imperial College London King Mongkut’s University of Technology Thonburi 7/21/2015 4 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 5 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 6 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 7 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 8 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 9 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 10 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 11 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 12 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 13 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 14 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 15 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 16 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 17 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 18 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 19 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 20 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 21 EIE 211 Electronic Devices and Circuit Design II X [ n ] N 1 F (W ) N N x [ k ] N 1 King Mongkut’s University of Technology Thonburi 7/21/2015 22 EIE 211 Electronic Devices and Circuit Design II F (W ) N N f [ k ] N 1 King Mongkut’s University of Technology Thonburi NxN Nx1 7/21/2015 23 EIE 211 Electronic Devices and Circuit Design II x[ k ] 1 N -1 F ( ) N N X [ n ] N 1 King Mongkut’s University of Technology Thonburi 7/21/2015 24 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 25 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 26 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 27 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 28 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 29 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 30 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 31 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 32 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 33 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 34 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 35 EIE 211 Electronic Devices and Circuit Design II King Mongkut’s University of Technology Thonburi 7/21/2015 36