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ECE 8443 – Pattern Recognition EE 3512 – Signals: Continuous and Discrete Objectives: Periodic Signals Triangle Wave Other Simple Functions Review Integration.

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Presentation on theme: "ECE 8443 – Pattern Recognition EE 3512 – Signals: Continuous and Discrete Objectives: Periodic Signals Triangle Wave Other Simple Functions Review Integration."— Presentation transcript:

1 ECE 8443 – Pattern Recognition EE 3512 – Signals: Continuous and Discrete Objectives: Periodic Signals Triangle Wave Other Simple Functions Review Integration Techniques Resources: MATH24: Fourier Series Examples MATH24: Fourier Series Examples LECTURE 07: MORE FOURIER SERIES EXAMPLES URL:

2 EE 3512: Lecture 07, Slide 1 Fourier Series Examples

3 EE 3512: Lecture 07, Slide 2 Fourier Series Examples

4 EE 3512: Lecture 07, Slide 3 Fourier Series Examples

5 EE 3512: Lecture 07, Slide 4 Fourier Series Examples

6 EE 3512: Lecture 07, Slide 5 Fourier Series Examples

7 EE 3512: Lecture 07, Slide 6 Fourier Series Examples

8 EE 3512: Lecture 07, Slide 7 Fourier Series Examples

9 EE 3512: Lecture 07, Slide 8 Fourier Series Examples

10 EE 3512: Lecture 07, Slide 9 Fourier Series Examples

11 EE 3512: Lecture 07, Slide 10 Fourier Series Examples

12 EE 3512: Lecture 07, Slide 11 Fourier Series Examples

13 EE 3512: Lecture 07, Slide 12 Fourier Series Examples

14 EE 3512: Lecture 07, Slide 13 Fourier Series Examples

15 EE 3512: Lecture 07, Slide 14 Demonstrated that the Fourier Series of a sum of sinewaves is a sum of sinewaves. Worked several examples (triangle wave, parabola). Reviewed integration techniques. Summary


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