Reference no: EM13867412
1. Purpose:
In this lab, you will investigate the properties of orthogonal functions and the Fourier series. This is a long lab, so plan accordingly.
2. Background:
Orthogonal basis functions are central to the analysis of linear systems. The most important of these functions is the complex exponential ejωt, where ω is the angular frequency, which is real. In this laboratory exercise, we are specifically interested in the family of complex exponential basis functions, φk(t), that are related to each other by having angular frequencies that are multiples of common fundamental frequency, ωo
φk(t) = ejkωot
Each function can be viewed a vector of length 1 rotating at different frequency in the complex plane.
φ1(t) rotates at the functional frequency ωo = 2π/To, where To is the fundamental period. φk(t) rotates at a frequency kωo radians/sec, where k is an integer that ranges from - ∞ < k < ∞.
Complex exponential is so important for the study of linear systems for two reasons: 1) They are orthogonal and 2) they are eigenfunctions of linear systems. In this lab we will look at the orthogonality property. In the next lab, we will look at the eigenfunction property.
Dormant commerce clause of the constitution
: Discuss your stand on whether state regulation of Internet prescription drug transactions violates the dormant commerce clause of the Constitution
|
Select the highly marketable investment
: Select the highly marketable investment
|
Company adopted a healthcare plan for its retired employees.
: On January 1, 2010, Flash and Dash Company adopted a healthcare plan for its retired employees. To determine eligibility for benefits, the company retroactively gives credit to the date of hire for each employee. The following information is availabl..
|
Prepare a bond amortization schedule
: Prepare a bond amortization schedule. Give the journal entry to record the bond issue. Give the journal entries to record the interest payments on December 31, 2015 and 2016. Give the journal entry to record the interest and face value payment on Dec..
|
Properties of orthogonal functions
: In this lab, you will investigate the properties of orthogonal functions and the Fourier series. This is a long lab, so plan accordingly.
|
Write your synthesis in the style of the discipline
: The purpose of this assignment is for you to (a) synthesize disciplinary knowledge regarding a topic of interpersonal communication research, (b) effectively write your synthesis in the style of the discipline
|
Average remaining service life of its active participating
: On January 1, 2010, the Parkway Company adopted a defined benefit pension plan. At that time, the company awarded retroactive benefits to its employees, resulting in a prior service cost of $2,180,000 on that date (which it did not fund).
|
Is the momentum of the system conserved
: Draw separate arrows for object A and for object B representing the direction of the change in momentum vector of the object and Is the magnitude of the change in momentum of object A greater than, less than, or equal to that of object B? Explain y..
|
Knowledgeable of the mature market
: Discussion board question... Need 3 different responses with citations with references and each must be at least 150 words doesn't have to be much longer than that.You just started your first marketing job, and your supervisor wants you to become mor..
|