Appendix 1: The Fourier Transform
Chapter Contents
- A1.1 Fourier’s Theorem
- A1.2 Frequency Spectrum
- A1.3 Odd and Even Functions
- A1.4 Fourier Analysis
- A1.5 The Complex Fourier Series
- A1.6 Frequency Analysis of Nonperiodic Signals: The Fourier Transform
- A1.7 The Convolution Theorem
- A1.8 A Fourier Transform Example: The Single Pulse
- A1.9 The Discrete Fourier Transform
A1.1 Fourier’s Theorem
Jean Baptiste Joseph Fourier (1768–1830) worked on a mathematical model of heat transfer in solid bodies (among many other topics). His thesis On the Propagation of Heat in Solid Bodies was published in 1807 and contained a novel idea for expanding a continuous function as a trigonometric series. Although Fourier developed this as a part of his ...
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