Computation of the Short-Time Linear Canonical Transform with Dual Window
| Autor: | Shuiqing Xu, Ke Zhang, Yi Chai, Lei Huang |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Signal processing
Article Subject General Mathematics lcsh:Mathematics General Engineering 020206 networking & telecommunications Basis function 02 engineering and technology lcsh:QA1-939 Orthogonal basis Window function Scale space implementation lcsh:TA1-2040 Frequency domain 0202 electrical engineering electronic engineering information engineering Elementary function 020201 artificial intelligence & image processing Time domain lcsh:Engineering (General). Civil engineering (General) Algorithm Mathematics |
| Zdroj: | Mathematical Problems in Engineering, Vol 2017 (2017) |
| ISSN: | 1024-123X |
| DOI: | 10.1155/2017/4127875 |
| Popis: | The short-time linear canonical transform (STLCT), which maps the time domain signal into the joint time and frequency domain, has recently attracted some attention in the area of signal processing. However, its applications are still limited due to the fact that selection of coefficients of the short-time linear canonical series (STLCS) is not unique, because time and frequency elementary functions (together known as basis function) of STLCS do not constitute an orthogonal basis. To solve this problem, this paper investigates a dual window solution. First, the nonorthogonal problem that suffered from original window is fulfilled by orthogonal condition with dual window. Then based on the obtained condition, a dual window computation approach of the GT is extended to the STLCS. In addition, simulations verify the validity of the proposed condition and solutions. Furthermore, some possible applied directions are discussed. |
| Databáze: | OpenAIRE |
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