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f Spectral Analysis – Fourier Decomposition

Spectral Analysis Fourier Decomposition Adding together different sine waves PHY103 image from f Spectral Decomposition Fourier Decomposition Previous lectures we focused on a single sine wave. With an amplitude and a frequency Basic Spectral unit ---- How do we take a complex signal and describe its frequency mix? We can take any function of time and describe it as a sum of sine waves each with different amplitudes and frequencies sine waves one amplitude/ one frequency Sounds as a series of pressure or motion variations in air.

• Also known as the Fourier series • Is a sum of sine and cosine waves which have frequencies f, 2f, 3f, 4f, 5f, …. • Any periodic wave can be decomposed in a Fourier series . Building a sawtooth by waves • Cookdemo7 a. top down b. bottom up . Light spectrum

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