Presentation is loading. Please wait.

Presentation is loading. Please wait.

WAVES AND WAVELETS Shamelessly stolen from R. Greenhalgh, Electrical

Similar presentations


Presentation on theme: "WAVES AND WAVELETS Shamelessly stolen from R. Greenhalgh, Electrical"— Presentation transcript:

1 WAVES AND WAVELETS Shamelessly stolen from R. Greenhalgh, Electrical
Engineering, University of Western Australia.

2 WINDOWING – SHORT TERM FOURIER TRANSFORM

3 No Differentiation of Process by occurrence in time or frequency
Domain. Purely stochastic process.

4 Simple analysis of Time Series with break down of time
periods but no break down of frequencies within each group.

5 Tallahassee Monthly Precipitation
Simple analysis of frequencies over spectrum periods but no break down of time and changing frequency characteristics. Tallahassee Monthly Precipitation

6 Breakdown of spectrum of frequencies over discrete time periods.
Jax Jax Jax

7

8 Various frequencies or “scales”applied repetitively over appropriate
(to “scale”) time periods.

9 Basic wavelet form applied over various time scales by “extending” and
“compressing” wavelet over different time periods observations. Compression/ extension Being analogous to various periods of oscillation.

10

11 1872 1882 1892 1902 1911 1872 1882 1892 1902 1911

12

13 53 58 63 65 73 83 87 77

14

15

16

17

18

19

20

21 STANDARDIZED MONTHLY PRECIPITATION TOTALS
Kew Gardens,

22 STANDARDIZED MONTHLY PRECIPITATION TOTALS
Kew Gardens,

23 STANDARDIZED MONTHLY PRECIPITATION TOTALS
Kew Gardens,


Download ppt "WAVES AND WAVELETS Shamelessly stolen from R. Greenhalgh, Electrical"

Similar presentations


Ads by Google