Presentation is loading. Please wait.

Presentation is loading. Please wait.

Chapter 12 Orthogonal Functions and Fourier Series.

Similar presentations


Presentation on theme: "Chapter 12 Orthogonal Functions and Fourier Series."— Presentation transcript:

1 Chapter 12 Orthogonal Functions and Fourier Series

2 Figure 12.F0201: Function f in Example 1 Courtesy of Dennis Zill

3 Figure 12.F0202: Periodic extension of the function f shown in Figure 12.2.1 Courtesy of Dennis Zill

4 Figure 12.F0203: - Courtesy of Dennis Zill

5 Figure 12.F0301: Even function Courtesy of Dennis Zill

6 Figure 12.F0302: Odd function Courtesy of Dennis Zill

7 Figure 12.F0303: Odd function f in Example 1 Courtesy of Dennis Zill

8 Figure 12.F0304: Periodic extension of the function f shown in Figure 12.3.3 Courtesy of Dennis Zill

9 Figure 12.F0305: Odd function f in Example 2 Courtesy of Dennis Zill

10 Figure 12.F0306abcd: - Courtesy of Dennis Zill

11 Figure 12.F0307: Even reflection Courtesy of Dennis Zill

12 Figure 12.F0308: Odd reflection Courtesy of Dennis Zill

13 Figure 12.F0309: Identity reflection Courtesy of Dennis Zill

14 Figure 12.F0310: Function f in Example 3 Courtesy of Dennis Zill

15 Figure 12.F0311: Different periodic extensions of the function f in Example 3 Courtesy of Dennis Zill

16 Figure 12.F0312: Periodic forcing function f in Example 4 Courtesy of Dennis Zill

17 Figure 12.F0313: Graph for Problem 39 Courtesy of Dennis Zill

18 Figure 12.F0314: Graph for Problem 40 Courtesy of Dennis Zill

19 Figure 12.F0315: Graph for Problem 41 Courtesy of Dennis Zill

20 Figure 12.F0316: Graph for Problem 42 Courtesy of Dennis Zill

21 Figure 12.F0317: Graph for Problem 50 Courtesy of Dennis Zill

22 Figure 12.F0401: Frequency spectrum of f in Example 2 Courtesy of Dennis Zill

23 Figure 12.F0402: Periodic pulse in Example 3 Courtesy of Dennis Zill

24 Figure 12.F0403: Frequency spectrum of f in Example 3 Courtesy of Dennis Zill

25 Figure 12.F0501: - Courtesy of Dennis Zill

26 Figure 12.F0601: - Courtesy of Dennis Zill

27 Figure 12.F0602: - Courtesy of Dennis Zill

28 Figure 12.FR01: Graph for Problem 20 Courtesy of Dennis Zill


Download ppt "Chapter 12 Orthogonal Functions and Fourier Series."

Similar presentations


Ads by Google