Digital Hilbert transformer designing approach using discrete Sine transform method

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Abstract


Designing approach for non-integer order digital Hilbert transformer using discrete sine transform (DST) Methods
are presented in this paper. First, review about the Hilbert transformer definition for non-integer order. Then,
given discrete-time signal is used to reconstruct a continuous-time signal with the help of the different definitions
of DST methods. Next, the filters coefficients and transfer function for the proposed design method are obtained
using index mapping technique. Finally, computative problem are discussed for showing the effectiveness of
DST methods.

Keywords:

Non-integer order digital Hilbert transformer, Lanczos window, discrete sine transform methods

Mathematics Subject Classification:

Mathematics
  • Hari Pratap Department of Applied Mathematics(SOVSAS), Gautam Buddha University, Greater Noida (U.P.), India.
  • Amit Ujlayan Department of Applied Mathematics(SOVSAS), Gautam Buddha University, Greater Noida (U.P.), India
  • Pages: 823-828
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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Published

01-01-2021

How to Cite

Hari Pratap, and Amit Ujlayan. “Digital Hilbert Transformer Designing Approach Using Discrete Sine Transform Method”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 823-8, https://www.malayajournal.org/index.php/mjm/article/view/1166.