Optimal design of Hermitian transform and vectors of both mask and window coefficients for denoising applications with both unknown noise characteristics and distortions
- Submitting institution
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The University of West London
- Unit of assessment
- 12 - Engineering
- Output identifier
- 12028
- Type
- D - Journal article
- DOI
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10.1016/j.sigpro.2013.11.018
- Title of journal
- Signal Processing
- Article number
- -
- First page
- 1
- Volume
- 98
- Issue
- -
- ISSN
- 0165-1684
- Open access status
- Out of scope for open access requirements
- Month of publication
- -
- Year of publication
- 2014
- URL
-
-
- Supplementary information
-
-
- Request cross-referral to
- -
- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- No
- Number of additional authors
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5
- Research group(s)
-
-
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- This paper addressed the essential practical problem of how to determine the mask coefficients in a consecutive two-stage fractional Fourier transform operation under unknown noise characteristics. The advantages of this type of operations had been demonstrated in our previous work but the problem had remained of how to apply such methods in real-world applications. This paper explains how the quadratic programming method – subject to appropriate constraints – can be adapted to provide an elegant iterative optimisation process, which is guaranteed to converge to an optimal solution. Examples with real-worlds signals revealed the predicted advantages of the above operations.
- Author contribution statement
- -
- Non-English
- No
- English abstract
- -