WE WRITE CUSTOM ACADEMIC PAPERS

100% Original, Plagiarism Free, Tailored to your instructions

Order Now!

Fourier Series

Fourier Series
Consider the function f(x) = a: for 0 < :17 < 7r. (a) [5 marks] Extend f to an even function F(:c) of period 21r. i. Sketch F(a:) in the range -37r < :17 < 31r. ii. Find the Fourier Series of F(:c) (b) [5 marks] Extend f to an odd function G(a:) of period 21r. i. Sketch G(a:) in the range -37r < 17 < 37r. ii. Find the Fourier Series of G(x) (c) (Gibbs Phenomenon) The American mathematician J. W. Gibbs observed that near points of discon- tinuity of f. the partial sums of the Fourier Series for f may overshoot by approximately 9% of the jump. regardless of the number of terms. Consider -1, -7r < (E < O, f(”)'{ +1, O


Instant Quote

Subject:
Type:
Pages/Words:
Single spaced
approx 275 words per page
Urgency (Less urgent, less costly):
Level:
Currency:
Total Cost: NaN

Get 10% Off on your 1st order!