Timeline for Is single integral inverse CWT possible with real-valued wavelets?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Dec 1, 2021 at 2:10 | vote | accept | Wang Yun | ||
| Nov 30, 2021 at 8:14 | comment | added | OverLordGoldDragon | @WangYun If this answers your question, consider accepting. | |
| Jul 16, 2021 at 9:10 | history | edited | OverLordGoldDragon | CC BY-SA 4.0 |
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| Jul 16, 2021 at 9:04 | comment | added | OverLordGoldDragon | @WangYun Yes, but I admit the notation is lacking, it should really be with $\psi^{*}(t - b)$, alternatively $<f, \psi_b>$ - it's just brevity in original derivation. And the conjugate for the complex kernel is assumed by default. Edited. | |
| Jul 16, 2021 at 9:04 | history | edited | OverLordGoldDragon | CC BY-SA 4.0 |
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| Jul 16, 2021 at 8:53 | comment | added | Wang Yun | Is $<f,\psi>$ the integral $\int_{-\infty}^{+\infty} f(t)\psi(t) dt$? | |
| Jul 16, 2021 at 8:49 | comment | added | OverLordGoldDragon |
@WangYun Inner product; for discrete vectors, it's sum(a * b), for continuous functions, $\int_{-\infty}^{\infty} f(x) g(x) dx$. Here it's used for cross-correlation (of signal with wavelet, as a "similarity" measure), which is equivalently convolution with flipped kernel.
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| Jul 16, 2021 at 8:44 | comment | added | Wang Yun | What does <...,...>mean? | |
| Jul 6, 2021 at 6:55 | history | answered | OverLordGoldDragon | CC BY-SA 4.0 |