Data Compression Using a Multi-residue System (Mrs)

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This work presents a novel technique for data compression based on multi-residue number systems. The basic theorem is that an under-determined system of congruences could be solved to accomplish data compression for a signal satisfying continuity of its information content and bounded in peak-to -peak amplitude by the product of relatively prime moduli,. This thesis investigates this property and presents quantitative results along with MATLAB codes. Chapter 1 is introductory in nature and Chapter 2 deals in more detail with the basic theorem. Chapter 3 explicitly mentions the assumptions made and chapter 4 shows alternative solutions to the Chinese remainder ... continued below

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Melaedavattil Jaganathan, Jyothy August 2012.

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  • Melaedavattil Jaganathan, Jyothy

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Description

This work presents a novel technique for data compression based on multi-residue number systems. The basic theorem is that an under-determined system of congruences could be solved to accomplish data compression for a signal satisfying continuity of its information content and bounded in peak-to -peak amplitude by the product of relatively prime moduli,. This thesis investigates this property and presents quantitative results along with MATLAB codes. Chapter 1 is introductory in nature and Chapter 2 deals in more detail with the basic theorem. Chapter 3 explicitly mentions the assumptions made and chapter 4 shows alternative solutions to the Chinese remainder theorem. Chapter 5 explains the experiments in detail whose results are mentioned in chapter 6. Chapter 7 concludes with a summary and suggestions for future work.

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  • August 2012

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  • March 4, 2013, 2:02 p.m.

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  • Nov. 16, 2016, 3:47 p.m.

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Melaedavattil Jaganathan, Jyothy. Data Compression Using a Multi-residue System (Mrs), thesis, August 2012; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc149639/: accessed October 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .