Development of an Advanced Mapped Real Transform for Enhanced Feature Extraction in Language Translation Application using Machine Learning

  • Unique Paper ID: 168948
  • PageNo: 77-87
  • Abstract:
  • The majority of applications for signal processing involve changing signals from one domain to another. A common frequency domain representation is the discrete Fourier transform (DFT), which depicts the relative contribution of each frequency component in terms of complex sinusoids. The 2-D Mapped Real Transform (2-D MRT) is a very redundant and expansive transform that was proposed by changing 2-D DFT computations in terms of real additions by taking advantage of the periodicity and symmetry properties of the twiddle factor. Therefore, 2-D Unique MRT (2-D UMRT), which has the same size as the original signal, was proposed by detecting unique MRT coefficients. The phase components of a given frequency, however, are arranged in a scattered manner. The shortcomings of 2-D UMRT were addressed by the development of 2-D Sequency-based MRT (2-D SMRT). Still, only signals of size N with a power of 2 can be used with SMRT. MRT is extended for 1-D signals as well, while being developed initially for 2-D signals. The development of a new independent integer-to-integer transform, called 1-D GMRT, derived from 1-D MRT, is presented. It features the use of unique MRT coefficients that are ordered in terms of Greatest Common Divisor (GCD) values rather than sequency values for any N condition. The utilization of this transform in a speech translation application is also presented and in comparison, with traditional methods, the current system indicates an improvement of 10% in performance.

Copyright & License

Copyright © 2026 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{168948,
        author = {Lakshmi. S. Panicker and Rahul. C and R. Gopikakumari},
        title = {Development of an Advanced Mapped Real Transform for Enhanced Feature Extraction in Language Translation Application using Machine Learning},
        journal = {International Journal of Innovative Research in Technology},
        year = {2024},
        volume = {11},
        number = {6},
        pages = {77-87},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=168948},
        abstract = {The majority of applications for signal processing involve changing signals from one domain to another. A common frequency domain representation is the discrete Fourier transform (DFT), which depicts the relative contribution of each frequency component in terms of complex sinusoids. The 2-D Mapped Real Transform (2-D MRT) is a very redundant and expansive transform that was proposed by changing 2-D DFT computations in terms of real additions by taking advantage of the periodicity and symmetry properties of the twiddle factor. Therefore, 2-D Unique MRT (2-D UMRT), which has the same size as the original signal, was proposed by detecting unique MRT coefficients. The phase components of a given frequency, however, are arranged in a scattered manner. The shortcomings of 2-D UMRT were addressed by the development of 2-D Sequency-based MRT (2-D SMRT). Still, only signals of size N with a power of 2 can be used with SMRT. MRT is extended for 1-D signals as well, while being developed initially for 2-D signals. The development of a new independent integer-to-integer transform, called 1-D GMRT, derived from 1-D MRT, is presented. It features the use of unique MRT coefficients that are ordered in terms of Greatest Common Divisor (GCD) values rather than sequency values for any N condition. The utilization of this transform in a speech translation application is also presented and in comparison, with traditional methods, the current system indicates an improvement of 10% in performance.},
        keywords = {DFT, GMRT, 1-D transform, Unique MRT, speech translation, language processing},
        month = {November},
        }

Cite This Article

Panicker, L. S., & C, R., & Gopikakumari, R. (2024). Development of an Advanced Mapped Real Transform for Enhanced Feature Extraction in Language Translation Application using Machine Learning. International Journal of Innovative Research in Technology (IJIRT), 11(6), 77–87.

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