Vibrate the membrane Acoustic wave.

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Presentation transcript:

Vibrate the membrane Acoustic wave

What do you think about my voice? Can you tell me my tone of voice? Low or High?

Human voice (time signals) Equalizer Frequency

Fourier transform 12 Oct. 2012 PhD student of Geophysics Seogi Kang

Contents Objectives Fourier transform Applications Conclusions

Objectives “Qualitatively” identify the meaning of Fourier transform Explain the application of Fourier transform

Self Quiz Problem 1. This time signal composed of two sine functions, can you find the period and frequency of each sine functions? So Find “a” and “b”. a=4π fa=2 b=π fb=0.5

Solution Frequency = 2 Hz Frequency = 0.5 Hz “It is not easy to decompose mixed signals to specific frequency component”

Specific frequency component Fourier transform Fourier series “Any periodic function can be expressed as the sum of sine and cosine functions” Think Euler’s theorem Fourier transform “Any time signals can be decomposed in to specific frequency components” Time signal Specific frequency component

Applying Fourier transform Time domain Fourier transform Frequency domain “We can get each component frequency component of signal”

Making filter using Fourier transform Mixed voice Brett’s Seogi’s Applying Filter Almost only Brett’s Go back to time domain

Conclusions By using Fourier transform, you can decompose your time signals into specific frequency components Not only time signals but any signals such as ocean wave Transform is a different lens to see the world differently What else we can?