Wednesday
July 23, 2014

Homework Help: Linear Algebra

Posted by Nicole on Sunday, December 7, 2008 at 1:01pm.

Hello,

I'm trying to find the Fourier Series of a function which is 1 from -pi/2 to pi/2, and zero everywhere else
inside of -pi to pi. I realize this is a square wave and I began the problem with a piecewise function

s(t) = 1 abs(t) < pi/2
0 abs(t) > pi/2

Then I had

a_k = 1/pi integral(from -pi to pi) of [cos(kt)dt]

and

b_k = 1/pi integral(from -pi to pi) of [sin(kt)dt]

but I don't know what to do from here.

Any help is greatly appreciated, thank you!

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

Linear Algebra - Hello, I'm trying to find the Fourier Series of a function ...
Math (College Level Mathematics) - Fourier sin series for f(x) = 1, 0 < x <...
math - The Fourier series expansion for the periodic function,f(t) = |sin t|is ...
math - The Fourier series expansion for the periodic function,f(t) = |sin t|is ...
math - Anyone can help me on this qns? The Fourier series expansion for the ...
Fourier Series - A periodic function f(t), with period 2π is defined as,f(...
Math (Fourier) - I want to self-study Fourier Transforms followed by signal ...
Fourier Sine Series Q - I have the function f(x) = cos(x) on the interval from 0...
Algebra - Using the index of a series as the domain and the value of the series ...
calculus - Find the fourier series of F(x) = 1, -L<=x<0 = 0, 0<=<L f...

Search
Members