Fourier Methods in Digital Signal Processing
Learning Objective:To familiarize the student with functions found in most frequency analysis software, introduce the basics of digital filtering and digital filter design, introduce basis of stationary signal analysis and derive input-output relationships for linear time-invariant systems.
Description:Alternate Title: Fourier Methods in Digital Signal Processing Fundamentals of signal processing associated with Fourier analyzer systems are presented. Emphasis is on amplitude accuracy and frequency resolution properties necessary for reliable experimental methodologies in system identification, spectrum estimation, and correlation analysis. Deterministic as well as random data analyses are presented. SP2018 ME57900 Syllabus
Topics Covered:Engineering applications of Fourier analysis of signals, both random and deterministic; Digital Filtering; Spectral estimation; Transfer function estimation; Coherence; Effects of measurement (windowing, sampling, noise); Strategies to minimize adverse effects and to facilitate meaningful interpretation of data analysis results
Prerequisites:Undergraduate treatment of Laplace transforms, Fourier series, basic statistics.
Applied / Theory:30 / 70
Homework:Seven homework assignments, each consisting of 5 questions. Please keep each problem separate, i.e. start a new problem on a new sheet of paper, and make sure your name and the problem set and problem number are on each sheet of your solutions.
Exams:One midterm exam and one final exam.
Textbooks:Official textbook information is now listed in the Schedule of Classes. NOTE: Textbook information is subject to be changed at any time at the discretion of the faculty member. If you have questions or concerns please contact the academic department.
Required-None. List of recommended reference texts will be provided with the course syllabus.
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