|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'506'133
Articles rated: 2609
26 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Signal and Image Processing with Sinlets | | Alexander Y. Davydov
; | | Date: |
4 Jun 2012 | | Abstract: | This paper presents a new family of localized orthonormal bases - sinlets -
which are well suited for both signal and image processing and analysis.
One-dimensional sinlets are related to specific solutions of the time-dependent
harmonic oscillator equation. By construction, each sinlet is differentiable
infinitely many times and has a well-defined and smoothly-varied instantaneous
frequency known in analytical form. For square-integrable transient signals
with infinite support, one-dimensional sinlet basis provides an advantageous
alternative to the Fourier transform by rendering accurate signal
representation via a countable set of real-valued coefficients. The properties
of sinlets make them suitable for analyzing many real-world signals whose
frequency content changes with time including radar and sonar waveforms, music,
speech, biological echolocation sounds, biomedical signals, seismic acoustic
waves, and signals employed in wireless communication systems. One-dimensional
sinlet bases can be used to construct two- and higher-dimensional bases with
variety of potential applications including image analysis and representation. | | Source: | arXiv, 1206.0692 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER