Book |
- Ortigueira, Manuel Duarte; Valério, Duarte. Fractional Signals and Systems. De Gruyter. 2020.
10.1515/9783110624588
- Manuel Duarte Ortigueira. Processamento Digital de Sinais. Funda{\c c. 2006.
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Book chapter |
- Ortigueira, Manuel D.. "The Complex Order Fractional Derivatives and Systems are Non Hermitian". In Proceedings of the
International Conference on Fractional Differentiation and its Applications (ICFDA’21), 38-44. Springer International
Publishing, 2022.
10.1007/978-3-031-04383-3_3
- Manuel Duarte Ortigueira; Duarte Valério; António M. Lopes. "Continuous-time fractional linear systems: Transient responses".
119-148. De Gruyter, 2019.
10.1515/9783110571745-006
- Gabriel Bengochea; Manuel Duarte Ortigueira; Luis Verde-Star; António Mendes Lopes. "Recursive-operational method for fractional
systems: System theory without Laplace transform". 119-147. De Gruyter, 2019.
10.1515/9783110571929-005
- Manuel Duarte Ortigueira; Jose Antonio Tenreiro Machado; Fernando Coito; Gabriel Bengochea. "Discrete-time fractional signals
and systems". 149-178. De Gruyter, 2019.
10.1515/9783110571929-006
- Duarte Valério; Manuel Duarte Ortigueira; J. A. Tenreiro Machado; António M. Lopes. "Continuous-time fractional linear systems:
Steady-state responses". 149-174. De Gruyter, 2019.
10.1515/9783110571745-007
- Matos, Carlos; Ortigueira, Manuel Duarte. "A New Approach to Rational Discrete-Time Approximations to Continuous-Time Fractional-Order
Systems". In IFIP Advances in Information and Communication Technology, 251-258. Springer Berlin Heidelberg, 2012.
10.1007/978-3-642-28255-3_27
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Conference paper |
- Filipa Esgalhado; Arnaldo Batista; V. B. Vassilenko; Manuel Duarte Ortigueira. "Real-Time PPG-Based HRV Implementation Using
Deep Learning and Simulink". 2022.
10.1007/978-3-031-07520-9_10
- Duarte Valério; Manuel Duarte Ortigueira. "Matsuda Method Adapted to Identify Fractional Order Transfer Functions". 2022.
10.1007/978-3-031-04383-3_22
- Gabriel Bengochea; Manuel Duarte Ortigueira. "Operational Calculus with Applications to Generalized Two-Sided Fractional Derivative".
2022.
10.1007/978-3-031-04383-3_17
- Manuel Duarte Ortigueira. "The Complex Order Fractional Derivatives and Systems are Non Hermitian". 2022.
10.1007/978-3-031-04383-3_3
- Filipa E. Cardoso; V. B. Vassilenko; Arnaldo Batista; Paulo Bonifácio; Sergio Rico Martin; Juan Muñoz-Torrero; Manuel Duarte
Ortigueira. "Improvements on Signal Processing Algorithm for the VOPITB Equipment". 2021.
10.1007/978-3-030-78288-7_31
- Filipa E. Cardoso; Arnaldo Batista; V. B. Vassilenko; Andreia Serrano; Manuel Duarte Ortigueira. "Idle Tone Detection in Biomedical
Signals Using Time-Frequency Techniques". 2020.
10.1007/978-3-030-45124-0_44
- Manuel Duarte Ortigueira. "On the Singular Steady-State Output in Discrete-Time Linear Systems". 2016.
- Manuel Duarte Ortigueira. "An Improved Empirical Mode Decomposition for Long Signals". 2016.
- Manuel Duarte Ortigueira. "On the computation of the Mittag-Leffler function". 2016.
- Ortigueira; Manuel; Troch; Inge. "A relation between the fractional derivative and the Hilbert transform". 2012.
10.3182/20120215-3-at-3016.00106
- Manuel Duarte Ortigueira; DEE Group Author. "A Relation Between the Fractional Derivative and the Hilbert Transform". 2012.
10.3182/20120215-3-AT-3016.00106
- Manuel Duarte Ortigueira; DEE Group Author. "Fractional Lower Order Moments in NMR: A New Measure of Tissue Complexity". 2010.
- Fernando Coito; Manuel Duarte Ortigueira; DEE Group Author. "Are RL and C derivatives really useful?". 2010.
- Manuel Duarte Ortigueira; DEE Group Author. "Generalized GL, Caputo, and Riemann-Liouville derivatives for analytic functions".
2010.
- Manuel Duarte Ortigueira; DEE Group Author. "The incremental ratio based causal Fractional Calculus for analytic functions".
2010.
- Fernando Coito; Manuel Duarte Ortigueira; DEE Group Author. "On a not so Fast Fourier Transform". 2010.
- Arnaldo Batista; Manuel Duarte Ortigueira; DEE Group Author. "FILTERS: Fractional vs Integer order". 2009.
- Ortigueira, M.D.; Ktonas, P. Y.; Golemati, S.; Xanthopoulos, P.; Ktonas, P.Y.; Sakkalis, V.; Tsekou, H.; et al. "Potential
dementia biomarkers based on the time-varying microstructure of sleep EEG spindles". 2007.
10.1109/IEMBS.2007.4352827
- Ortigueira, M.D.; Xanthopoulos, P.; Golemati, S.; Sakkalis, V.. "Comparative analysis of time-frequency methods estimating
the time-varying microstructure of sleep EEG spindles". 2006.
- Ortigueira, Manuel Duarte; Matos, Carlos J. C.. "New results on fractional linear prediction". 2001.
10.23919/ecc.2001.7076174
- Ortigueira, Manuel Duarte; Matos, J.C.; Piedade, M.S.. "Fractional signal processing: scale conversion". 2001.
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Journal article |
- Duarte Valério; Manuel D. Ortigueira. "Variable-Order Fractional Scale Calculus". Mathematics (2023): https://doi.org/10.3390/math11214549.
10.3390/math11214549
- Manuel Duarte Ortigueira; Gabriel Bengochea. "On the Fractional Derivative Duality in Some Transforms". Mathematics
(2023): https://doi.org/10.3390/math11214464.
10.3390/math11214464
- Gabriel Bengochea; Manuel Duarte Ortigueira. "An Operational Approach to Fractional Scale-Invariant Linear Systems". Fractal
and Fractional (2023): https://doi.org/10.3390/fractalfract7070524.
10.3390/fractalfract7070524
- Manuel Duarte Ortigueira. "Discrete-Time Fractional Difference Calculus: Origins, Evolutions, and New Formalisms". Fractal
and Fractional (2023): https://doi.org/10.3390/fractalfract7070502.
10.3390/fractalfract7070502
- Manuel D. Ortigueira; Gary W. Bohannan. "Fractional Scale Calculus: Hadamard vs. Liouville". Fractal and Fractional
(2023): https://doi.org/10.3390/fractalfract7040296.
10.3390/fractalfract7040296
- Manuel Duarte Ortigueira; Valeriy Martynyuk; Volodymyr Kosenkov; Arnaldo Guimarães Batista. "A New Look at the Capacitor Theory".
Fractal and Fractional (2023): https://doi.org/10.3390/fractalfract7010086.
10.3390/fractalfract7010086
- Manuel Duarte Ortigueira; Gabriel Bengochea. "A Simple Solution for the General Fractional Ambartsumian Equation". Applied
Sciences (2023): https://doi.org/10.3390/app13020871.
10.3390/app13020871
- Filipa Esgalhado; Valentina Vassilenko; Arnaldo Batista; Manuel Ortigueira. "On the Feasibility of Real-Time HRV Estimation
Using Overly Noisy PPG Signals". Computers (2022): https://doi.org/10.3390/computers11120177.
10.3390/computers11120177
- Müfit San; Manuel D. Ortigueira. "Unilateral Laplace Transforms on Time Scales". Mathematics (2022): https://doi.org/10.3390/math10234552.
10.3390/math10234552
- Bengochea Gabriel; Ortigueira Manuel. "Fractional derivative of power type functions". Computational and Applied Mathematics
(2022): https://doi.org/10.1007/s40314-022-02081-0.
10.1007/s40314-022-02081-0
- Daniela Martins; Arnaldo Batista; Helena Mouriño; Sara Russo; Filipa Esgalhado; Catarina R. Palma dos Reis; Fátima Serrano;
Manuel Ortigueira. "Adaptive Filtering for the Maternal Respiration Signal Attenuation in the Uterine Electromyogram". Sensors
(2022): https://doi.org/10.3390/s22197638.
10.3390/s22197638
- Manuel D. Ortigueira. "A New Series Representation and the Laplace Transform for the Lognormal Distribution". Mathematics
(2022): https://doi.org/10.3390/math10193474.
10.3390/math10193474
- Filipa Esgalhado; Arnaldo Batista; Valentina Vassilenko; Sara Russo; Manuel Ortigueira. "Peak Detection and HRV Feature Evaluation
on ECG and PPG Signals". Symmetry (2022): https://doi.org/10.3390/sym14061139.
10.3390/sym14061139
- Manuel D. Ortigueira. "A New Look at the Initial Condition Problem". Mathematics (2022): https://doi.org/10.3390/math10101771.
10.3390/math10101771
- Martim Almeida; Helena Mouriño; Arnaldo G. Batista; Sara Russo; Filipa Esgalhado; Catarina R. Palma dos Reis; Fátima Serrano;
Manuel Ortigueira. "Electrohysterography extracted features dependency on anthropometric and pregnancy factors". Biomedical
Signal Processing and Control (2022): https://doi.org/10.1016/j.bspc.2022.103556.
10.1016/j.bspc.2022.103556
- Manuel Duarte Ortigueira; Richard L. Magin. "On the Equivalence between Integer- and Fractional Order-Models of Continuous-Time
and Discrete-Time ARMA Systems". Fractal and Fractional 6 5 (2022): 242-242. https://doi.org/10.3390/fractalfract6050242.
10.3390/fractalfract6050242
- Duarte Valério; Manuel D. Ortigueira; António M. Lopes. "How Many Fractional Derivatives Are There?". Mathematics (2022):
https://doi.org/10.3390/math10050737.
10.3390/math10050737
- Müfit San; Arnaldo Batista; Sara Russo; Filipa Esgalhado; Catarina R. Palma dos Reis; Fátima Serrano; Manuel Ortigueira. "A
Preliminary Exploration of the Placental Position Influence on Uterine Electromyography Using Fractional Modelling". Sensors
(2022): https://doi.org/10.3390/s22051704.
10.3390/s22051704
- Manuel Duarte Ortigueira; J.A. Tenreiro Machado. "The 21st Century Systems: An Updated Vision of Discrete-Time Fractional
Models". IEEE Circuits and Systems Magazine (2022): https://doi.org/10.1109/MCAS.2022.3160908.
10.1109/MCAS.2022.3160908
- Gabriel Bengochea; Luís Verde-Star; Manuel Duarte Ortigueira. "Solution of Equations with q-Derivatives and Ward’s Derivatives
Using an Operational Method". Filomat 36 5 (2022): 1487-1498. https://novaresearch.unl.pt/en/publications/baafb9ee-6fd4-4062-a484-03021d4dd7c1.
10.2298/FIL2205487B
- Manuel Duarte Ortigueira; J. Tenreiro Machado. "The 21st Century Systems: An Updated Vision of Continuous-Time Fractional
Models". IEEE Circuits and Systems Magazine 22 2 (2022): 36-56. https://novaresearch.unl.pt/en/publications/f2e9e624-ccc2-44bd-9e21-35b6ea098839.
10.1109/MCAS.2022.3160905
- Manuel Duarte Ortigueira. "An Entropy Paradox Free Fractional Diffusion Equation". Fractal and Fractional 5 4 (2021):
236-236. https://doi.org/10.3390/fractalfract5040236.
10.3390/fractalfract5040236
- Manuel Duarte Ortigueira. "Editorial for Special Issue “Fractional Behavior in Nature 2019”". Fractal and Fractional
(2021): https://doi.org/10.3390/fractalfract5040186.
10.3390/fractalfract5040186
- Manuel D. Ortigueira; Gabriel Bengochea; J. Tenreiro Machado. "Substantial, tempered, and shifted fractional derivatives:
Three faces of a tetrahedron". Mathematical Methods in the Applied Sciences 44 11 (2021): 9191-9209. https://doi.org/10.1002/mma.7343.
10.1002/mma.7343
- Gabriel Bengochea; Manuel Ortigueira. "Fractional Line Integral". Mathematics (2021): https://doi.org/10.3390/math9101150.
10.3390/math9101150
- Manuel Duarte Ortigueira; Gabriel Bengochea; Manuel D. Ortigueira. "Bilateral Tempered Fractional Derivatives". Symmetry
(2021): https://doi.org/10.3390/sym13050823.
10.3390/sym13050823
- Arnaldo Batista; Ricardo Cebola; Filipa Esgalhado; Sara Russo; Catarina Palma dos Reis; Fatima Serrano; V. B. Vassilenko;
Manuel Duarte Ortigueira. "The contractiongram: A method for the visualization of uterine contraction evolution using the
electrohysterogram". Biomedical Signal Processing and Control 67 (2021): https://novaresearch.unl.pt/en/publications/045bf419-82c6-41a2-82fc-32e4ed6e333d.
10.1016/j.bspc.2021.102531
- Manuel Duarte Ortigueira; José Tenreiro Machado. "A Review of Sample and Hold Systems and Design of a New Fractional Algorithm".
Applied Sciences (2020): https://doi.org/10.3390/app10207360.
10.3390/app10207360
- Filipa Esgalhado; Arnaldo G. Batista; Helena Mouriño; Sara Russo; Catarina Palma dos Reis; Fátima Serrano; Valentina Vassilenko;
Manuel Duarte Ortigueira. "Automatic Contraction Detection Using Uterine Electromyography". Applied Sciences (2020):
https://www.mdpi.com/2076-3417/10/20/7014.
10.3390/app10207014
- Manuel D. Ortigueira; J.A. Tenreiro Machado. "New discrete-time fractional derivatives based on the bilinear transformation:
Definitions and properties". Journal of Advanced Research (2020): https://doi.org/10.1016/j.jare.2020.02.011.
10.1016/j.jare.2020.02.011
- Manuel Duarte Ortigueira; José Tenreiro Machado. "Revisiting the 1D and 2D Laplace Transforms". Mathematics 8 8 (2020):
1330-1330. https://doi.org/10.3390/math8081330.
10.3390/math8081330
- Filipa Esgalhado; Arnaldo Batista; Helena Mouriño; Sara Russo; Catarina Palma dos Reis; Fatima Serrano; V. B. Vassilenko;
Manuel Duarte Ortigueira. "Uterine contractions clustering based on electrohysterography". Computers in Biology and Medicine
123 (2020): https://novaresearch.unl.pt/en/publications/11e6a94a-c869-4cde-a790-79432af567e5.
10.1016/j.compbiomed.2020.103897
- Ortigueira, Manuel D.; Lopes, António M.; Tenreiro Machado, José; Manuel Duarte Ortigueira; António M. Lopes; José Tenreiro
Machado. "On the Numerical Computation of the Mittag-Leffler Function". International Journal of Nonlinear Sciences and
Numerical Simulation 20 6 (2019): 725-736. http://hdl.handle.net/10362/99790.
https://doi.org/10.1515/ijnsns-2018-0358
- Ortigueira, Manuel D.; Tenreiro Machado, J.. "A critical analysis of the Caputo–Fabrizio operator". Communications in Nonlinear
Science and Numerical Simulation 59 (2018): 608-611. http://dx.doi.org/10.1016/j.cnsns.2017.12.001.
10.1016/j.cnsns.2017.12.001
- Ortigueira, Manuel Duarte. "Fractional Definite Integral". Fractal and Fractional (2017): doi:10.3390/fractalfract1010002.
10.3390/fractalfract1010002
- Ortigueira, Manuel Duarte. "Which Derivative?". Fractal and Fractional (2017): http://www.mdpi.com/2504-3110/1/1/3.
10.3390/fractalfract1010003
- Manuel Duarte Ortigueira. "On the Steady-State Behaviour of Discrete-Time Linear Systems with Poles on the Unit Circle". Sensors
& Transducers Journal 204 9 (2016): 39-44. https://novaresearch.unl.pt/en/publications/74f47e1c-948d-466d-aa6d-676fcdcec8e0.
- Manuel Duarte Ortigueira. "A Sliding Window Empirical Mode Decomposition for Long Signals Algorithm". Sensors & Transducers
Journal 204 9 (2016): 21-28. https://novaresearch.unl.pt/en/publications/0d905a0c-0424-4271-9265-06d43815c0f3.
- Ortigueira, Manuel D.; Torres, Delfim F.M.; Trujillo, Juan J.; Manuel D. Ortigueira; Delfim F.M. Torres; Juan J. Trujillo.
"Exponentials and Laplace transforms on nonuniform time scales". Communications in Nonlinear Science and Numerical Simulation
39 (2016): 252-270. http://hdl.handle.net/10773/16656.
10.1016/j.cnsns.2016.03.010
- Ortigueira, Manuel D.; Serralheiro, António S.; Machado, J. A. Tenreiro. "A new zoom algorithm and its use in frequency estimation".
(2015): http://hdl.handle.net/10400.22/8791.
10.1515/wwfaa-2015-0002
- Manuel Duarte Ortigueira; Arnaldo Batista. "K-means Clustering for Sleep Spindles Classification". International Journal
of Information Technology & Computer Science 10 3 (2013): 77-85. https://novaresearch.unl.pt/en/publications/5071661c-5f30-4c83-ba7c-a4302eb40e6f.
- Arnaldo Batista; Manuel Duarte Ortigueira; DEE Group Author. "Sleep Spindles Detection: a Mixed Method using STFT and WMSD".
International Journal Of Bioelectromagnetism 14 4 (2012): 229-233. https://novaresearch.unl.pt/en/publications/70d39a44-2031-40d8-b7ae-e15a1cdcb6ce.
- Manuel Duarte Ortigueira; Fernando Coito; DEE Group Author. "On the usefulness of Riemann-Liouville and Caputo derivatives
in describing fractional shift-invariant linear systems". Journal of Applied Nonlinear Dynamics 1 2 (2012): 113-124.
https://novaresearch.unl.pt/en/publications/830c84c7-2985-4848-a323-bd6c14aeb039.
10.5890/JAND.2012.05.001
- Manuel Duarte Ortigueira; DEE Group Author. "On the Estimation of the Autocorrelation Function". Discussiones Mathematicae:
Probability and Statistics 38 NA (2010): 85-97. https://novaresearch.unl.pt/en/publications/4c83fc4a-2cb1-4625-a2d8-7bc28f477013.
- Ortigueira, M.D.. "An introduction to the fractional continuous-time linear systems". IEEE Circuits and Systems Magazine
8 3 (2008): 19-26. http://hdl.handle.net/10362/1717.
Published • 10.1109/MCAS.2008.928419
- Ortigueira, M.D.; Rato, R.T.; Batista, A. G.; Rato, R. T.; Batista, A.G.. "On the HHT, its problems, and some solutions".
Mechanical Systems and Signal Processing 22 6 (2008): 1374-1394. http://hdl.handle.net/10362/2415.
Published • 10.1016/j.ymssp.2007.11.028
- Ortigueira, M.D.. "On the fractional central differences and derivatives". (2008): http://hdl.handle.net/10362/1718.
- Ortigueira, M.D.; Serralheiro, António J.; Ortigueira, M. D.. "A new least-squares approach to differintegration modeling".
Signal Processing 86 10 (2006): 2582-2591. http://hdl.handle.net/10362/2587.
10.1016/j.sigpro.2006.02.013
- Ortigueira, M.D.. "Riesz potential operators and inverses via fractional centred derivatives". (2006): http://hdl.handle.net/10362/2588.
- Ortigueira, M.D.. "A coherent approach to non-integer order derivatives". (2006): http://hdl.handle.net/10362/2586.
- Ortigueira, M.D.. "Introduction to fractional linear systems. Part 2: discrete-time case". (2000): http://hdl.handle.net/10362/2615.
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