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Homework 9

# Homework 9 - MEEN 260 Introduction to Engineering...

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MEEN 260 Introduction to Engineering Experimentation Homework 9: Complex Numbers, Fourier Series, and Fourier Transform Assigned: Thursday, 2 Apr. 2009 Due: Thursday, 9 Apr. 2009, 5:00pm Learning Objectives: After completing this homework assignment, you should be able to: 1) Determine the magnitude and phase angle of a complex number, and manipulate functions of a complex variable 2) Determine the Fourier Series of a periodic signal, in polar, trigonometric, or exponential form 3) Determine the Fourier Transform of a non-periodic signal using the definition, tables, or properties of the Fourier Transform Homework Problems: Problem 1) Complex Numbers Given the imaginary number: ݏൌ ଷାସ௝ ଶିଶ௝ a) Determine the magnitude of ݏ b) Determine the phase angle of ݏ c) Manipulate ݏ into the form Ae j φ Problem 2) Plotting Functions of a Complex Variable Given the function of a complex variable: ܩሺ߱ሻ ൌ ହାଶ௝ఠ a) Using Matlab, Excel, or a similar program, plot the magnitude of ܩሺ߱ሻ

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Homework 9 - MEEN 260 Introduction to Engineering...

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