Signal compression and enhancement using a new orthogonal-polynomial-based discrete transform
Discrete orthogonal functions are important tools in digital signal processing. These functions received considerable attention in the last few decades. This study proposes a new set of orthogonal functions called discrete Krawtchouk–Tchebichef transform (DKTT). Two traditional orthogonal polynomial...
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| Published in | IET signal processing Vol. 12; no. 1; pp. 129 - 142 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
The Institution of Engineering and Technology
01.02.2018
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1751-9675 1751-9683 1751-9683 |
| DOI | 10.1049/iet-spr.2016.0449 |
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| Abstract | Discrete orthogonal functions are important tools in digital signal processing. These functions received considerable attention in the last few decades. This study proposes a new set of orthogonal functions called discrete Krawtchouk–Tchebichef transform (DKTT). Two traditional orthogonal polynomials, namely, Krawtchouk and Tchebichef, are combined to form DKTT. The theoretical and mathematical frameworks of the proposed transform are provided. DKTT was tested using speech and image signals from a well-known database under clean and noisy environments. DKTT was applied in a speech enhancement algorithm to evaluate the efficient removal of noise from speech signal. The performance of DKTT was compared with that of standard transforms. Different types of distance (similarity index) and objective measures in terms of image quality, speech quality, and speech intelligibility assessments were used for comparison. Experimental tests show that DKTT exhibited remarkable achievements and excellent results in signal compression and speech enhancement. Therefore, DKTT can be considered as a new set of orthogonal functions for futuristic applications of signal processing. |
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| AbstractList | Discrete orthogonal functions are important tools in digital signal processing. These functions received considerable attention in the last few decades. This study proposes a new set of orthogonal functions called discrete Krawtchouk–Tchebichef transform (DKTT). Two traditional orthogonal polynomials, namely, Krawtchouk and Tchebichef, are combined to form DKTT. The theoretical and mathematical frameworks of the proposed transform are provided. DKTT was tested using speech and image signals from a well-known database under clean and noisy environments. DKTT was applied in a speech enhancement algorithm to evaluate the efficient removal of noise from speech signal. The performance of DKTT was compared with that of standard transforms. Different types of distance (similarity index) and objective measures in terms of image quality, speech quality, and speech intelligibility assessments were used for comparison. Experimental tests show that DKTT exhibited remarkable achievements and excellent results in signal compression and speech enhancement. Therefore, DKTT can be considered as a new set of orthogonal functions for futuristic applications of signal processing. |
| Author | Al-Haddad, Syed Abdul Rahman Ramli, Abd Rahman bin Abdulhussain, Sadiq H Jassim, Wissam A Mahmmod, Basheera M |
| Author_xml | – sequence: 1 givenname: Basheera M orcidid: 0000-0002-4121-0843 surname: Mahmmod fullname: Mahmmod, Basheera M organization: 2Computer Engineering Department, University of Baghdad, Baghdad, Iraq – sequence: 2 givenname: Abd Rahman bin surname: Ramli fullname: Ramli, Abd Rahman bin organization: 1Department of Computer and Communication Systems Engineering, Universiti Putra Malaysia, Selangor, Malaysia – sequence: 3 givenname: Sadiq H orcidid: 0000-0002-6439-0082 surname: Abdulhussain fullname: Abdulhussain, Sadiq H email: sadiqh76@yahoo.com organization: 2Computer Engineering Department, University of Baghdad, Baghdad, Iraq – sequence: 4 givenname: Syed Abdul Rahman surname: Al-Haddad fullname: Al-Haddad, Syed Abdul Rahman organization: 1Department of Computer and Communication Systems Engineering, Universiti Putra Malaysia, Selangor, Malaysia – sequence: 5 givenname: Wissam A surname: Jassim fullname: Jassim, Wissam A organization: 3ADAPT Center, School of Engineering, Trinity College Dublin, University of Dublin, Dublin 2, Ireland |
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| Keywords | speech enhancement algorithm signal compression DKTT transforms orthogonal-polynomial-based discrete transform discrete Krawtchouk–Tchebichef transform speech enhancement signal enhancement digital signal processing |
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| SubjectTerms | digital signal processing discrete Krawtchouk–Tchebichef transform DKTT orthogonal‐polynomial‐based discrete transform Research Article signal compression signal enhancement speech enhancement speech enhancement algorithm transforms |
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| Title | Signal compression and enhancement using a new orthogonal-polynomial-based discrete transform |
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