Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Fourier Series Please explain the gragh when the k changing

Fourier Series Please explain the gragh when the k changing

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
Question

Fourier Series

Please explain the gragh when the k changing

b) Compute the exponential FS coefficients ak by numerical integration. Use the quad command. Since we cannot consider the exact FS with infinite terms, we will consider 2K + 1 terms, ie K â (t) = Σ akejkwot k=-K Generate a plot of the (t) as approximated by K = 1, 5, 10, 30 terms, superimposed on top of the true x(t). Plot only one period, i.e., 0 ≤ t ≤ 3.
Transcribed Image Text:b) Compute the exponential FS coefficients ak by numerical integration. Use the quad command. Since we cannot consider the exact FS with infinite terms, we will consider 2K + 1 terms, ie K â (t) = Σ akejkwot k=-K Generate a plot of the (t) as approximated by K = 1, 5, 10, 30 terms, superimposed on top of the true x(t). Plot only one period, i.e., 0 ≤ t ≤ 3.
x(t) 1.2 1 0.8 0.6 0.4 0.2 0 -0.2 0 0.5 1 1.5 t 2 2.5 x(t) -k=1 k=5 k=10 k=30 W 3
Transcribed Image Text:x(t) 1.2 1 0.8 0.6 0.4 0.2 0 -0.2 0 0.5 1 1.5 t 2 2.5 x(t) -k=1 k=5 k=10 k=30 W 3
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS