Arbitrary Hilbert Transformer Design Using DST Methods

Authors

  • Hari Pratap Department of Mathematics, P.G.D.A.V. College Evening, University of Delhi, India.
  • Subodh Kumar Department of Mathematics, Shyam Lal College, University of Delhi, India.
  • Sunit Kumar Department of Mathematics, Motilal Nehru College, University of Delhi, India.
  • Gajraj Singh Discipline of Statistics, Indira Gandhi National Open University, Delhi, India.
  • Ved Pal Singh Department of Mathematics, Maharaja Agersen College, University of Delhi, India.

Keywords:

Arbitrary order Hilbert transformer (AHT), Frequency-Response (F-R), DST-II, Lanczos window.

Abstract

In recent years, various generalized arbitrary order Hilbert transformer have been developed for controlling the phase response. This paper presents the designing approach of Hilbert transform of arbitrary order using discrete sine transform-II. First, the theory of arbitrary order frequency response of Hilbert transformers is reviewed. Then, with the help of the DST-II method determine the filter coefficient. Next, for optimal design values some numerical problems are discussed for the frequency response of window and non-window techniques.

Downloads

Published

2024-09-01

How to Cite

Hari Pratap, Subodh Kumar, Sunit Kumar, Gajraj Singh, & Ved Pal Singh. (2024). Arbitrary Hilbert Transformer Design Using DST Methods. Journal of Computational Analysis and Applications (JoCAAA), 33(05), 1079–1085. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/1729

Issue

Vol. 33 No. 05 (2024): JOCAAA

Section

Articles

License

Copyright (c) 2024 Authors

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Similar Articles

1 2 3 4 5 6 7 8 9 10 > >> 

You may also start an advanced similarity search for this article.