Chapter 12 Orthogonal Functions and Fourier Series.

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Presentation transcript:

Chapter 12 Orthogonal Functions and Fourier Series

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

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

Figure 12.F0203: - Courtesy of Dennis Zill

Figure 12.F0301: Even function Courtesy of Dennis Zill

Figure 12.F0302: Odd function Courtesy of Dennis Zill

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

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

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

Figure 12.F0306abcd: - Courtesy of Dennis Zill

Figure 12.F0307: Even reflection Courtesy of Dennis Zill

Figure 12.F0308: Odd reflection Courtesy of Dennis Zill

Figure 12.F0309: Identity reflection Courtesy of Dennis Zill

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

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

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

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

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

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

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

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

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

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

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

Figure 12.F0501: - Courtesy of Dennis Zill

Figure 12.F0601: - Courtesy of Dennis Zill

Figure 12.F0602: - Courtesy of Dennis Zill

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