It has long been known that an arbitrary time signal can be thought of as the superposition of many sinusoidal components, that is, it has a distribution or spectrum of components. Working in terms of the spectrum is called spectral analysis. In wave analysis, the time domain for a motion or response is from minus infinity to plus infinity. Functions in this domain are represented by a continuous distribution of components which is known as its continuous Fourier transform (CFT). However, the numerical evaluation and manipulation of the components requires discretizing the distribution in some manner — the one chosen here is by way of the discrete Fourier transform (DFT). This has the significant advantage that it allows the use of the very efficient fast Fourier transform (FFT) computer algorithm.
Weitere Kapitel dieses Buchs durch Wischen aufrufen
- Spectral Analysis of Wave Motion
James F. Doyle
- Springer New York
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