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 methodsMathematics Subject Classification:
Mathematics- Pages: 823-828
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
C.C. Tseng and S.C. Pei, "Design and application of discrete-time fractional Hilbert transformer," IEEE Trans. on Circuits and Systems- II: Analog and Digital Signal Processing, 47(12)(2000), 1529-1533.
S.C. Pei and M.H. Yeh, "Discrete fractional Hilbert transform," IEEE Trans. on Circuits and Systems-II: Analog and Digital Signal Processing, 47(11)(2000), 1307-1311.
S.C. Pei and P.H. Wang, "Analytical design of maximally flat FIR fractional Hilbert transformer," Signal Processing, 81,3 pp.643-661, Mar. 2001 .
C.C. Tseng, "Analytical design of fractional Hilbert transformer using fractional differencing," in Proceedings of International Symposium on Circuits and Systems, $4(2003), 173-176$.
S.C. Pei, P.H. Wang and C.H. Lin, "Design of fractional delay filter, differintegrator, fractional Hilbert transformer, and differentiator in time domain with Peano kernel," IEEE Trans. on Circuits and Systems- I: Regular Papers, 57(2)(2010), 391-404.
C.C. Tseng and S.L. Lee, "On the designs of variable fractional Hilbert transformers," IEEE Trans. on Circuits and Systems-II: Express Briefs, (2014), 368-372.
A.K. Jain, "A fast Karhunen-Loeve transform for a class of random processes," IEEE Trans. on Communications, (1976), 1023-1029.
X. Li, H. Xie and B. Cheng, "Noisy speech enhancement based on discrete sine transform," in Proceedings of the Ist International Multi- Symposium on Computer and Computational Sciences, 2006.
Z. Wang, G.A. Jullien and W.C. Miller, "Interpolation using the discrete sine transform with increased accuracy," Electronics Letters, (1993), 1918-1920.
E.G. Pelaes and Y. Iano, "Image coding using discrete sine transform with axis rotation," IEEE Trans. on Consumer Electronics, (1998), 1284-1290.
C.C. Tseng and S.C. Pei, "Closed-form design of fixed fractional hubert transformer using discrete sine transform," Circuits and Systems (APCCAS), 2014 IEEE Asia Pacific Conference, 2015.
Dhanpal Singh, Nitin Kumar, Hari Pratap, Himanshu Kushwah," Discrete cosine transform interpolation approach to design an fractional order hilbert transformer, IEEE International Conference on Advance in Computing, Communication Control and Networking, ICACCCN-2018.
Hari Pratap, Nitin Kumar," DST interpolation techniques for Reisz based matrix differentiator of non-integer order, 2nd International Conference on Advances in Computing, Communication Control and Networking, ICACCCN2020.
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