Slide 1

Slide 1 text

Signal Analysis for Ops Is There An Echo In Here? Noah Kantrowitz

Slide 2

Slide 2 text

MATH AHEAD

Slide 3

Slide 3 text

This is a Metric

Slide 4

Slide 4 text

Value @ Time

Slide 5

Slide 5 text

No content

Slide 6

Slide 6 text

metric.wav

Slide 7

Slide 7 text

No content

Slide 8

Slide 8 text

No content

Slide 9

Slide 9 text

Frequency Domain

Slide 10

Slide 10 text

Frequency 0hz 20Hz

Slide 11

Slide 11 text

Value +0dB +50dB

Slide 12

Slide 12 text

Fourier Transform

Slide 13

Slide 13 text

ˆ f ( ⇠ ) = Z 1 1 f ( x ) e 2 ⇡ix⇠ dx

Slide 14

Slide 14 text

No content

Slide 15

Slide 15 text

No content

Slide 16

Slide 16 text

No content

Slide 17

Slide 17 text

No content

Slide 18

Slide 18 text

1Hz 4 Hz/2 10 Hz/4 16 Hz/4 2 Hz/10

Slide 19

Slide 19 text

No content

Slide 20

Slide 20 text

ˆ f ( ⇠ ) = Z 1 1 f ( x ) e 2 ⇡ix⇠ dx

Slide 21

Slide 21 text

DFT DTFT

Slide 22

Slide 22 text

Xk = N 1 X n=0 xne 2⇡i N nk

Slide 23

Slide 23 text

FFT

Slide 24

Slide 24 text

IFT

Slide 25

Slide 25 text

Low-pass

Slide 26

Slide 26 text

No content

Slide 27

Slide 27 text

No content

Slide 28

Slide 28 text

No content

Slide 29

Slide 29 text

No content

Slide 30

Slide 30 text

High-pass Band-pass

Slide 31

Slide 31 text

Windowing

Slide 32

Slide 32 text

No content

Slide 33

Slide 33 text

No content

Slide 34

Slide 34 text

No content

Slide 35

Slide 35 text

No content

Slide 36

Slide 36 text

No content

Slide 37

Slide 37 text

No content

Slide 38

Slide 38 text

No content

Slide 39

Slide 39 text

No content

Slide 40

Slide 40 text

No content

Slide 41

Slide 41 text

NumPy

Slide 42

Slide 42 text

FFTW

Slide 43

Slide 43 text

go-dsp

Slide 44

Slide 44 text

Ruby

Slide 45

Slide 45 text

Go forth and find the signal

Slide 46

Slide 46 text

Thank You

Slide 47

Slide 47 text

Bonus Round

Slide 48

Slide 48 text

DCT

Slide 49

Slide 49 text

Wavelets

Slide 50

Slide 50 text

Noise Gate

Slide 51

Slide 51 text

No content

Slide 52

Slide 52 text

Hysteresis

Slide 53

Slide 53 text

Control Theory

Slide 54

Slide 54 text

PID Control

Slide 55

Slide 55 text

Thank You