Fourier Analysis Flashcards Preview

PHAS0025 > Fourier Analysis > Flashcards

Flashcards in Fourier Analysis Deck (11)
Loading flashcards...
1

Give the three goniometric relationships of scalar products of trig functions 

2

Give the integrals of scalar products of trig functions from -pi to pi

note: δ = 1 if m = n and 0 if not 

3

Give the general form of a continuous f(x) over a period 2pi and its coefficients 

4

Give the expansion of a continuous function f(x) over a period of 2L and its coefficients 

5

Give the integrals of scalar products of trig functions from -L to L

6

Give Parseval's identity for a continuous function f(x) over period 2L

7

Define an even function f(x)

f(x) is an even function if f(x) = f(-x)

eg cos(x)

8

Define an odd function f(x)

A function is odd if f(x) = -f(-x)

9

Give the equations for a Fourier transform 

10

Give Parseval's identity for Fourier transforms 

11