The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
Design of FIR and IIR fractional order Simpson digital integrators
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Citations
Cites
An Introduction to the Fractional Calculus and Fractional Differential Equations
Miller, K. S., & Ross, B. (1993) · Cited by 8,193
Hosking, J. R. M. (1981) · Biometrika · doi:10.1093/biomet/68.1.165 · Cited by 2,516
Splitting the unit delay [FIR/all pass filters design]
Laakso, T. I., Valimaki, V., Karjalainen, M., & Laine, U. K. (1996) · IEEE Signal Processing Magazine · doi:10.1109/79.482137 · Cited by 1,168
Splitting the Unit Delay - Tools for fractional delay filter design
Laakso, T. I., Välimäki, V., Karjalainen, M., et al. (1996) · IEEE Signal Processing Magazine · Cited by 534
Fractional differentiation for edge detection
Mathieu, B., Melchior, P., Oustaloup, A., et al. (2003) · Signal Processing · doi:10.1016/s0165-1684(03)00194-4 · Cited by 383
A new IIR-type digital fractional order differentiator
Chen, Y., & Vinagre, B. M. (2003) · Signal Processing · doi:10.1016/s0165-1684(03)00188-9 · Cited by 258
On the role of fractional calculus in electromagnetic theory
Engheia, N. (1997) · IEEE Antennas and Propagation Magazine · doi:10.1109/74.632994 · Cited by 255
Discrete-time fractional-order controllers
Machado, J. A. T. (2001) · Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT) · Cited by 243
Design of fractional order digital FIR differentiators
Tseng, C. (2001) · IEEE Signal Processing Letters · doi:10.1109/97.905945 · Cited by 201
Self-citationA linear programming approach to recursive digital filter design with linear phase
Chottera, A., & JULLIEN, G. A. (1982) · IEEE Transactions on Circuits and Systems · doi:10.1109/tcs.1982.1085123 · Cited by 170
Nonlinear Noninteger Order Circuits and Systems — An Introduction
Arena, P., Caponetto, R., Fortuna, L., et al. (2000) · World scientific series on nonlinear science, series A · doi:10.1142/4507 · Cited by 121
Computation of fractional derivatives using Fourier transform and digital FIR differentiator
Tseng, C., Pei, S., & Hsia, S. (2000) · Signal Processing · doi:10.1016/s0165-1684(99)00118-8 · Cited by 118
Self-citationNovel IIR differentiator from the Simpson integration rule
Al‐Alaoui, M. A. (1994) · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · doi:10.1109/81.269060 · Cited by 94
Novel class of digital integrators and differentiators
Bihan, J. L. (1993) · Electronics Letters · doi:10.1049/el:19930647 · Cited by 72
On the Eneström-Kakeya theorem and its sharpness
Anderson, N., Saff, E. B., & Varga, R. S. (1979) · Linear Algebra and its Applications · doi:10.1016/0024-3795(79)90113-7 · Cited by 68
A new approach for the design of digital integrators
Papamarkos, N., & Chamzas, C. (1996) · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · doi:10.1109/81.536749 · Cited by 66
Digital fractional order differentiation-based algorithm for P and T-waves detection and delineation
Goutas, A., Ferdi, Y., Herbeuval, J.-P., et al. (2005) · ITBM-RBM · doi:10.1016/j.rbmret.2004.11.022 · Cited by 54
Exact Fractional-Order Differentiators for Polynomial Signals
Samadi, S., Ahmad, M. O., & Swamy, M. N. S. (2004) · IEEE Signal Processing Letters · doi:10.1109/lsp.2004.827917 · Cited by 43
On the design of linear phase, FIR integrators for midband frequencies
Kumar, B. V. K. V., Choudhury, D., & Kumar, A. (1996) · IEEE Transactions on Signal Processing · doi:10.1109/78.539024 · Cited by 40
Kumar, B. V. K. V., & Kumar, A. (1999) · IEEE Transactions on Signal Processing · doi:10.1109/78.765167 · Cited by 25
Efficient generation of long-memory signals using lattice structures
Kogon, S. M., & Manolakis, D. G. (2002) · 2018 52nd Asilomar Conference on Signals, Systems, and Computers · doi:10.1109/acssc.1995.540848 · Cited by 8
Flagged first, then by citations
Research works printed but not linked: 2
- Vinagre, 2000, Some approximations of fractional order operators used in control theory and applications, J. Fractional Calculus Appl. Anal., 3, 231
- Barbosa, 2004, Least-squares design of digital fractional-order operators, 1st IFAC Workshop on Fractional Differentiation and its Applications, 434
Cited by
Sorted by citations
Thiran Filters for Wideband DSP-Based Multi-Beam True Time Delay RF Sensing Applications
Perera, S. M., Rathnasekara, G., & Madanayake, A. (2024) · Sensors · doi:10.3390/s24020576 · Cited by 5
“One can also find the factorization of the transfer function of the infinite impulse response (IIR) Simpson integrator for designing fractional delay filters in [17].”
Method
Metadata
- Authors
- Tseng, C.-C.
- Affiliations
- National Kaohsiung First University of Science and Technology (TW)
- Corresponding author
- Tseng, Chien-Cheng
- ORCID
- Tseng, Chien-Cheng
- Venue
- Signal Processing
- Publisher
- Elsevier BV
- Published
- 2007-05
- Volume
- 87
- Issue
- 5
- Pages
- 1045-1057
- ISSN
- 0165-1684 (ISSN-L)
- OpenAlex
- W2006114218
- Cited by
- 129
- References
- 21
- Citations by year
- 2025: 2 · 2024: 3 · 2023: 1 · 2022: 3 · 2021: 1 · 2020: 6 · 2019: 8 · 2018: 10 · 2017: 23 · 2016: 17 · 2015: 10 · 2014: 5 · 2013: 4 · 2012: 6
- FWCI
- 6.73
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Signal Processing (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Signal Processing › Digital Filter Design and Implementation
- Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Design
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Analog and Mixed-Signal Circuit Design
- Keywords
- fractional-order integrator, FIR filters, IIR filters, fractional powers, truncation, stability, fractional delay
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