Revistas
Revista:
APPLIED MATHEMATICS AND COMPUTATION
ISSN:
0096-3003
Año:
2023
Vol.:
445
Págs.:
127824
As the correlation matrices of stationary vector processes are block Toeplitz, autoregressive (AR) vector processes are non-stationary. However, in the literature, an AR vector process of finite order is said to be stationary if it satisfies the so-called stationarity condition (i.e., if the spectral radius of the associated companion matrix is less than one). Since the term stationary is used for such an AR vector process, its correlation matrices should somehow approach the correlation matrices of a stationary vector process, but the meaning of somehow approach has not been mathematically established in the literature. In the present paper we give necessary and sufficient conditions for AR vector processes to be stationary. These conditions show in which sense the correlation matrices of an AR stationary vector process asymptotically behave like block Toeplitz matrices. Applications in information theory and in statistical signal processing of these necessary and sufficient conditions are also given.
Revista:
IEEE TRANSACTIONS ON TRANSPORTATION ELECTRIFICATION
ISSN:
2332-7782
Año:
2022
Vol.:
8
N°:
4
Págs.:
4219 - 4228
Aircraft manufacturers aim to decrease the fuel consumption based on reducing weight and increasing the subsystem efficiency. Hence, the electric power system (EPS) acquires great relevance because it must be efficient and lightweight. Any change in the EPS must not affect the aircraft's electrical safety, which under a traditional decentralized EPS strategy is ensured by redundancy. Recently, several decentralized EPS strategies based on the introduction of multiport power converters have arisen. Such strategies meet the established safety goals since the aforementioned devices make it possible to recalculate the path to continue powering the loads in case of failure. However, the literature does not address how to connect such multiport power converters. The main contribution of this article is to present a low-complexity algorithm that minimizing the redundancy of wiring, provides a fault-tolerant power transmission network. This is done under a decentralized EPS strategy where multiport power converters are used. The proposed strategy is evaluated on Boeing 787 aircraft, where we compare the length of the cables both under a traditional decentralized network configuration (where the redundancy option is used to ensure the safety of operation) and in the network provided by our algorithm. A saving of 66.6% is obtained.
Revista:
ENTROPY
ISSN:
1099-4300
Año:
2022
Vol.:
24
N°:
5
Págs.:
669
In the era of the Internet of Things, there are many applications where numerous devices are deployed to acquire information and send it to analyse the data and make informed decisions. In these applications, the power consumption and price of the devices are often an issue. In this work, analog coding schemes are considered, so that an ADC is not needed, allowing the size and power consumption of the devices to be reduced. In addition, linear and DFT-based transmission schemes are proposed, so that the complexity of the operations involved is lowered, thus reducing the requirements in terms of processing capacity and the price of the hardware. The proposed schemes are proved to be asymptotically optimal among the linear ones for WSS, MA, AR and ARMA sources.
Revista:
ENERGIES
ISSN:
1996-1073
Año:
2021
Vol.:
14
N°:
12
Págs.:
3649
In this paper we propose a mathematical model for the fuel consumption analysis during aircraft cruise. A closed-form formula that expresses the aircraft's weight variation over time, and hence, the fuel flow rate, is obtained as a result. Furthermore, a closed-form expression of the aircraft's main performance parameters is also obtained. We compare the values of such parameters computed by using the Piano-X software and computed by using our mathematical model. Simulation results confirm that our mathematical model provides results very close to reality. Finally, the closed-form formula of the fuel flow rate provided by our model is used to improve the calculation of the carbon dioxide emissions for four example routes, which, unlike here, are usually obtained under the assumption of a constant value of the fuel flow rate.
Revista:
IEEE ACCESS
ISSN:
2169-3536
Año:
2021
Vol.:
9
Págs.:
160688 - 160696
The COVID-19 pandemic has had severe consequences on the global economy, mainly due to indiscriminate geographical lockdowns. Moreover, the digital tracking tools developed to survey the spread of the virus have generated serious privacy concerns. In this paper, we present an algorithm that adaptively groups individuals according to their social contacts and their risk level of severe illness from COVID-19, instead of geographical criteria. The algorithm is fully distributed and therefore, individuals do not know any information about the group they belong to. Thus, we present a distributed clustering algorithm for adaptive pandemic control.
Revista:
MATHEMATICS
ISSN:
2227-7390
Revista:
ENTROPY
ISSN:
1099-4300
Revista:
IEEE COMMUNICATIONS LETTERS
ISSN:
1089-7798
Año:
2019
Vol.:
23
Págs.:
773 - 776
Revista:
ENTROPY
ISSN:
1099-4300
Año:
2019
Vol.:
21
N°:
10
Págs.:
965
In this paper, we present a low-complexity coding strategy to encode (compress) finite-length data blocks of Gaussian vector sources. We show that for large enough data blocks of a Gaussian asymptotically wide sense stationary (AWSS) vector source, the rate of the coding strategy tends to the lowest possible rate. Besides being a low-complexity strategy it does not require the knowledge of the correlation matrix of such data blocks. We also show that this coding strategy is appropriate to encode the most relevant Gaussian vector sources, namely, wide sense stationary (WSS), moving average (MA), autoregressive (AR), and ARMA vector sources.
Revista:
APPLIED MATHEMATICS AND COMPUTATION
ISSN:
0096-3003
Año:
2019
Vol.:
362
Págs.:
124526
Revista:
INTERNATIONAL JOURNAL OF DISTRIBUTED SENSOR NETWORKS
ISSN:
1550-1477
Revista:
SENSORS
ISSN:
1424-8220
Revista:
IEEE COMMUNICATIONS LETTERS
ISSN:
1089-7798
Año:
2018
Vol.:
22
Págs.:
1754 - 1757
Revista:
ENTROPY
ISSN:
1099-4300
Revista:
ENTROPY
ISSN:
1099-4300
Revista:
IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN:
0018-9448
Año:
2017
Vol.:
63
Págs.:
6000 - 6003
Revista:
SENSORS
ISSN:
1424-8220
Revista:
ENTROPY
ISSN:
1099-4300
Revista:
ENTROPY
ISSN:
1099-4300
Revista:
SPECIAL MATRICES
ISSN:
2300-7451
Año:
2016
Vol.:
4
N°:
1
Págs.:
73-79
In this paper, we obtain an eigenvalue decomposition for any complex skew-persymmetric anti-tridiagonal Hankel matrix where the eigenvector matrix is orthogonal.
Revista:
APPLIED MATHEMATICS AND COMPUTATION
ISSN:
0096-3003
Año:
2016
Vol.:
289
Págs.:
214 - 219
Revista:
APPLIED MATHEMATICS AND COMPUTATION
ISSN:
0096-3003
Año:
2014
Vol.:
234
Págs.:
333 - 338
Revista:
APPLIED MATHEMATICS AND COMPUTATION
ISSN:
0096-3003
Año:
2013
Vol.:
219
Págs.:
9219 - 9222
Revista:
IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING
ISSN:
1932-4553
Año:
2013
Vol.:
7
Págs.:
163 - 174
Revista:
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN:
0024-3795
Año:
2013
Vol.:
439
Págs.:
34 - 54
Revista:
APPLIED MATHEMATICS AND COMPUTATION
ISSN:
0096-3003
Año:
2013
Vol.:
222
Págs.:
472 - 477
Revista:
IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN:
0018-9448
Año:
2011
Vol.:
57
N°:
8
Págs.:
5444 - 5454
Revista:
SIGNAL PROCESSING
ISSN:
0165-1684
Año:
2011
Vol.:
91
N°:
9
Págs.:
2237 - 2245
Revista:
APPLIED MATHEMATICS AND COMPUTATION
ISSN:
0096-3003
Año:
2011
Vol.:
217
N°:
13
Págs.:
6125 - 6132
In this paper, we derive a general expression for the entries of the powers of any complex persymmetric or skew-persymmetric anti-tridiagonal matrix with constant anti-diagonals, in terms of the Chebyshev polynomials of the second kind.
Nacionales y Regionales
Título:
Obtencion de mapas de ruido usando una red de matrices de microfonos mediante estimacion espacial y consenso distribuido
Código de expediente:
PIBA_2020_1_0050
Investigador principal:
Jesús Gutiérrez Gutiérrez
Financiador:
GOBIERNO VASCO
Convocatoria:
2019 GV Elkartek 2019 - Fase I. Programa de apoyo a la investigación colaborativa en áreas estratégicas
Fecha de inicio:
04/11/2020
Fecha fin:
30/09/2022
Importe concedido:
0,00€
Otros fondos:
-
Título:
Avances en codificación y procesado de la señal para la sociedad digital
Código de expediente:
PID2019-104958RB-C44
Financiador:
MINISTERIO DE CIENCIA E INNOVACIÓN
Convocatoria:
2019 AEI PROYECTOS I+D+i (incluye Generación del conocimiento y Retos investigación)
Fecha de inicio:
01/06/2020
Fecha fin:
31/01/2024
Importe concedido:
124.872,00€
Otros fondos:
-
Título:
Desarrollo de nuevas tecnologias y herramientas que aceleren la transicion a una produccion inteligente
Código de expediente:
KK-2020/00060
Investigador principal:
Xabier Insausti Sarasola
Financiador:
GOBIERNO VASCO
Convocatoria:
2020 GV Elkartek -Proyectos de apoyo a la investigacion colaborativa en areas estrategicas.Tipo 1.
Fecha de inicio:
01/04/2020
Fecha fin:
31/12/2021
Importe concedido:
116.322,00€
Otros fondos:
-
Título:
Control distribuido avanzado para la seguridad y la eficiencia energetica del transporte aereo
Código de expediente:
KK-2020/00044
Investigador principal:
Xabier Insausti Sarasola
Financiador:
GOBIERNO VASCO
Convocatoria:
2020 GV Elkartek -Proyectos de apoyo a la investigacion colaborativa en areas estrategicas.Tipo 1.
Fecha de inicio:
01/03/2020
Fecha fin:
31/12/2021
Importe concedido:
73.675,00€
Otros fondos:
-
Título:
Codificacion y procesado de señales para redes emergentes de comunicacion y de sensores inhalambricas
Código de expediente:
TEC2016-75067-C4-3-R
Investigador principal:
Pedro Crespo Bofill
Financiador:
MINISTERIO DE CIENCIA E INNOVACIÓN
Convocatoria:
2016 MINECO RETOS INVESTIGACION. PROYECTOS I+D+i
Fecha de inicio:
01/01/2017
Fecha fin:
31/12/2020
Importe concedido:
168.795,00€
Otros fondos:
-
Internacionales y Europeos
Título:
Modelling tool for giving value to agri-food residual streams in bio-based industries - Santos & Insausti -
Código de expediente:
887191
Investigador principal:
Javier Santos García
Financiador:
GOBIERNO VASCO
Convocatoria:
2019 GV Elkartek 2019 - Fase I. Programa de apoyo a la investigación colaborativa en áreas estratégicas
Fecha de inicio:
10/06/2020
Fecha fin:
31/05/2023
Importe concedido:
570.650,00€
Otros fondos:
-
