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Benchmark synthetic example

s-0 st-0 proj-0 gch1-tfsswt
s-0,st-0,proj-0,gch1-tfsswt
Figure 1.
(a) Synthetic signal with three constant-frequency components and two spikes, borrowed from (Liu et al., 2011). (b) Time-frequency map of the S transform. (c) Time-frequency map using local attributes. (d) Time-frequency map using the synchrosqueezing wavelet transform.
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We first use a synthetic example to demonstrate the SSWT's high resolution both in time and frequency. The synthetic data is borrowed from Liu et al. (2011). It is composed of three constant-frequency components and two spikes, as shown in Figure 1a. We compare the TF analysis result of the SSWT with that of the S transform and local-attributes based TF analysis. The differences among the three TF analysis approaches are obvious. The SSWT exactly capture the three constant-frequency component and get a higher time resolution for the two spikes compared with the other two approaches. In the next part, we apply the SSWT to two field datasets to show its application in detecting low-frequency anomalies and deep-layer weak signal.


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Next: Field examples Up: Examples Previous: Examples

2014-11-12