MEEN 260 MEEN260 Homework 9 – Texas A&M

Description

MEEN 260 MEEN260 Homework 9 – Texas A&M

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: s

a)Determine the magnitude of s

b)Determine the phase angle of s

c)Manipulate ݏinto the form Aej

Problem 2)

Plotting Functions of a Complex Variable Given the function of a complex variable: G

a)Using Matlab, Excel, or a similar program, plot the magnitude of Gusing a log scale for w?

b)Plot the phase of G using a log scale for w

Problem 3) Digital Signals and Signal Reconstruction

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