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Realization of Recursive Algorithm for One-Dimensional Discrete Sine Transform and Its Inverse

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Applications of Artificial Intelligence Techniques in Engineering

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 697))

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Abstract

This paper proposes algorithms for computation of Discrete Sine Transform (DST) and Inverse Discrete Sine Transform (IDST) using the recursive technique. The presented algorithms are realized using Infinite Impulse Response (IIR) filter structures. The proposed algorithms are efficient in terms of hardware and computational complexity. Hardware complexities of presented algorithms are determined by the total count of multipliers, adders, and latches required in realized structures. Computational complexities of suggested algorithms are measured in terms of number of multiplications and addition operations required to compute a coefficient. The comparison of realized structures is done with previously existing structures in terms of these complexities and it was observed that the proposed structures are better than them in one or more aspects. The realized structures are simple, modular, provides reliable results. Therefore, it is suitable for parallel VLSI implementation.

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Acknowledgements

The Authors wish to acknowledge reviewers for their valuable comments and research fellowship from University Grants of commission, Government of India.

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Correspondence to Pragati Dahiya .

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Dahiya, P., Jain, P. (2019). Realization of Recursive Algorithm for One-Dimensional Discrete Sine Transform and Its Inverse. In: Malik, H., Srivastava, S., Sood, Y., Ahmad, A. (eds) Applications of Artificial Intelligence Techniques in Engineering . Advances in Intelligent Systems and Computing, vol 697. Springer, Singapore. https://doi.org/10.1007/978-981-13-1822-1_33

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