LING 372 Lecture Notes - Lecture 8: Rarefaction

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Compression when air molecules are closer than they would be naturally. Rarefaction when air molecules are farther a part naturally. What does it sound like: negative (rarefaction) vs. Complex periodic waves: at any point in time the amplitude of the complex wave (in dark black) = the sum of the amplitudes of the component waves at that point in time, formula for complex sounds: Amplitude * sin (2 * pi * frequency * x) 1 x sin (2 x pi x 100 x x ) + 0. 5 x sin (2 x pi x 200 x x ) + 0. 33 x sin( 2 x pi x 300 x x ) + 0. 25 x sin (2 x pi x 400 x x) = Fundamental frequency (f0): cycles/seconds of complex pattern, (here- f0 = 100hz) Fourier analysis: fundamental: any complex period wave can be decomposed into a set of sine waves w/ particular; Wednesday, march 7, 2018: fourier analysis: complex period wave.

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