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Signal Analysis for Ops Is There An Echo In Here? Noah Kantrowitz
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MATH AHEAD
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This is a Metric
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Value @ Time
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metric.wav
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Frequency Domain
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Frequency 0hz 20Hz
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Value +0dB +50dB
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Fourier Transform
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ˆ f ( ⇠ ) = Z 1 1 f ( x ) e 2 ⇡ix⇠ dx
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1Hz 4 Hz/2 10 Hz/4 16 Hz/4 2 Hz/10
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ˆ f ( ⇠ ) = Z 1 1 f ( x ) e 2 ⇡ix⇠ dx
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DFT DTFT
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Xk = N 1 X n=0 xne 2⇡i N nk
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FFT
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IFT
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Low-pass
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High-pass Band-pass
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Windowing
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NumPy
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FFTW
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go-dsp
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Ruby
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Go forth and find the signal
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Thank You
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Bonus Round
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DCT
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Wavelets
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Noise Gate
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Hysteresis
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Control Theory
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PID Control
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Thank You