The Spectrum n Jean Baptiste Fourier (1768-1830) discovered a fundamental tenet of wave theory.

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The Spectrum n Jean Baptiste Fourier ( ) discovered a fundamental tenet of wave theory

The Spectrum n Jean Baptiste Fourier ( ) discovered a fundamental tenet of wave theory n All periodic waves are composed of a series of sinusoidal waves

The Spectrum n Jean Baptiste Fourier ( ) discovered a fundamental tenet of wave theory n All periodic waves are composed of a series of sinusoidal waves n These waves are harmonics of the fundamental

The Spectrum n Jean Baptiste Fourier ( ) discovered a fundamental tenet of wave theory n All periodic waves are composed of a series of sinusoidal waves n These waves are harmonics of the fundamental n Each harmonic has its own amplitude and phase

The Spectrum n Jean Baptiste Fourier ( ) discovered a fundamental tenet of wave theory n All periodic waves are composed of a series of sinusoidal waves n These waves are harmonics of the fundamental n Each harmonic has its own amplitude and phase n The decomposition of a complex wave into its harmonic components, its spectrum, is known as a Fourier analysis

The Spectrum It is often more useful to represent complex waveforms with a spectral plot as opposed to a time domain plot = time domain amplitude as a function of time spectral domain amplitude as a function of frequency