13
Wavelets for Poets Time Frequency Analysis Overview Lunch and Learn

Time Frequency Analysis for Poets

Embed Size (px)

Citation preview

Page 1: Time Frequency Analysis for Poets

Wavelets for Poets

Time Frequency Analysis Overview Lunch and Learn

Page 2: Time Frequency Analysis for Poets

Transforms Why Bother

Page 3: Time Frequency Analysis for Poets

Fourier Transform

0 50 100 150 200

0

200

400

600

800

1000

1200

1400

1600

1800

2000

Frequency

Page 4: Time Frequency Analysis for Poets

Time Frequency

Page 5: Time Frequency Analysis for Poets

FT is Time Agnostic

0 20 40 60 80 100 120 1400

1000

2000

3000

4000

5000

6000

Frequency

1000 2000 3000 4000 5000 6000 7000 8000 9000 10000

0

2

4

6

8

10

Page 6: Time Frequency Analysis for Poets

Short Time FT

Page 7: Time Frequency Analysis for Poets

Heisenberg Uncertainty Principle

Page 8: Time Frequency Analysis for Poets

Wavelets

Page 9: Time Frequency Analysis for Poets

Wavelet Example

Page 10: Time Frequency Analysis for Poets

Heisenberg Uncertainty – Another Look

Page 11: Time Frequency Analysis for Poets

Example Denoising

Page 12: Time Frequency Analysis for Poets

Example Compression

Page 13: Time Frequency Analysis for Poets

Example Edge Detection