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Results tagged with cwt
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user 54347
Continuous Wavelet Transform. Time-frequency localization method with a wavelet kernel correlating against signal across scales and translations. Is non-orthogonal and overcomplete (unlike Discrete WT), varies time & frequency resolution across scales (unlike STFT), and is invertible. Usage includes image compression, multi-resolution analysis, instantaneous frequency estimation, transient detection, feature extraction.
1
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1
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709
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What scheme of padding should I choose if my 1D data satisfy the periodical boundary conditi...
By CWT, I mean the continuous wavelet transform. The usual padding schemes are zero padding, periodic padding, and decay padding. …
- 124
0
votes
1
answer
359
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How to achieve a periodized Mexican hat wavelet with period L by using Python?
Now I have a scaled Mexican hat wavelet, i.e.
$$
\psi(a,x)=\frac{1}{\sqrt{a}}…\left(1-\frac{x^2}{a^2}\right)e^{-x^2/(2a^2)},
$$
which decays quickly along the x-axis. Here I want to define a periodize …
- 124
2
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2
answers
397
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What is the importance of the translational invariance of the CWT?
Translational invariance is a property that the continuous wavelet transform (CWT) has but the discrete wavelet transform (DWT) does not have. It says that a shift of the signal, i.e. … What is the importance of the translational invariance of the CWT? …
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Questions about the paper titled "Rapid computation of the continuous wavelet transform by o...
This paper introduced a fast method for computing the real CWT and achieved $O(N)$ complexity per scale. … Specifically, the related source text is shown below
Our goal is to efficiently compute the CWT at $P$ scales per octave. …
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7
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3
answers
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Continuous Wavelet Transform vs Discrete Wavelet Transform
I notice that, However, the continuous wavelet transform (CWT) is also applied to different subjects. In my opinion, the CWT is redundant and hence difficult to compute. …
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Is single integral inverse CWT possible with real-valued wavelets?
Where the CWT in the title refers to the continuous wavelet transform. Torrence1998 proposed a reconstruction formula as shown below
Obviously, Eq.(11) is a single integral. …
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Wavelet "center frequency" explanation? Relation to CWT scales?
I noticed that there are many ways to relate the scale factor of wavelets to some characteristic frequency, such as the peak frequency, the central instantaneous frequency, and so on(plz see section 2 …
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Weird Noise arises on the small scales: one question about the fast CWT algorithm implemente...
[s,b] = cwt[s,b] + Bj[s,j]*F4
cwt[s,b] = Dx*sqrt(scales[s])*cwt[s,b]
return cwt_out
Question:
To check the precision of the result of my code, I choose y=exp(-x^2) as the test signal since … the CWT of it has an analytic formula. …
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