On the Degrees of freedom of the K-user MISO Interference Channel with imperfect delayed CSIT

This work investigates the degrees of freedom (DoF) of the K-user multiple-input single-output (MISO) interference channel (IC) with imperfect delayed channel state information at the transmitters (dCSIT). For this setting, new DoF inner bonds are provided, and benchmarked with cooperation-based outer bounds. The achievability result is based on a precoding scheme that aligns the interfering received signals through time, exploiting the concept of Retrospective Interference Alignment (RIA). The proposed approach outperforms all previous known schemes. Furthermore, we study the proposed scheme under channel estimation errors (CEE) on the reported dCSIT, and derive a closed-form expression for the achievable DoF with imperfect dCSIT.Comment: Draft version of the accepted manuscript at IEEE ICASSP 1

Retrospective Interference Alignment for the MIMO Interference Broadcast Channel

The degrees of freedom (DoF) of the multiple-input multiple-output (MIMO) Interference Broadcast Channel (IBC) with 2 cells and 2 users per cell are investigated when only delayed channel state information is available at the transmitter side (delayed CSIT). Retrospective Interference Alignment has shown the benefits in terms of DoF of exploiting delayed CSIT for interference, broadcast and also for the IBC. However, previous works studying the IBC with delayed CSIT do not exploit the fact that the users of each cell are served by a common transmitter. This work presents a four-phase precoding strategy taking this into consideration. Assuming that transmitters and receivers are equipped with $M,N$ antennas, respectively, new DoF inner bounds are proposed, outperforming the existing ones for $\rho = \frac{M}{N} > 2.6413$.Comment: 1 copyright page + 5 paper pages + 3 appendix pages, Submitted to IEEE ISIT 201

Retrospective Interference Alignment for the 3-user MIMO Interference Channel with delayed CSIT

The degrees of freedom (DoF) of the 3-user multiple input multiple output interference channel (3-user MIMO IC) are investigated where there is delayed channel state information at the transmitters (dCSIT). We generalize the ideas of Maleki et al. about {\it Retrospective Interference Alignment (RIA)} to be applied to the MIMO IC, where transmitters and receivers are equipped with $(M,N)$ antennas, respectively. We propose a two-phase transmission scheme where the number of slots per phase and number of transmitted symbols are optimized by solving a maximization problem. Finally, we review the existing achievable DoF results in the literature as a function of the ratio between transmitting and receiving antennas $\rho=M/N$. The proposed scheme improves all other strategies when $\rho \in \left(\frac{1}{2}, \frac{31}{32} \right]$.Comment: Draft version of the accepted manuscript at IEEE ICASSP 1

Enseñar poesía a través de la aplicación de las estrategias que corresponden a los enfoques inteligencias múltiples, comunicativo y natural.

The main objective of this study is to create guidelines towards a systematic teaching of poetry through the application of strategies which respond to statements made in the Communicative, Natural, and Multiple Intelligences approaches in the compulsory courses of ‘Introduction to Literature and Culture of the English Speaking World’ and ‘British Literature’ of the English Department at Universidad Pedagógica Experimental Libertador, Instituto Pedagógico de Barquisimeto, Venezuela. For the development of this research, a careful revision of the theoretical framework was carried out. Our theoretical framework comprises the Communicative, Multiple Intelligences and the Natural approaches; the concept of poetry; the teaching of Literature, and the revision of strategies that correspond to each approach. Due to what it is mentioned above allowed the author of this research to determine guidelines intended to systematize the teaching of poetry through the application of strategies, which respond to statements made in Communicative, Natural, and Multiple Intelligences approachesLa presente investigación tiene como objetivo crear lineamientos para sistematizar la enseñanza de la poesía a través de las estrategias que corresponden a los enfoques Comunicativo, Natural e Inteligencias Múltiples en los cursos obligatorios de “Introducción a la Literatura y la Cultura del Mundo de Habla Inglesa” y “Literatura Británica” del Departamento de Idiomas Modernos de la Universidad Pedagógica Experimental Libertador - Instituto Pedagógico de Barquisimeto, Venezuela. Este artículo de investigación tiene su fundamentación teórica en los enfoques Comunicativo, Natural e Inteligencias Múltiples; la conceptualización de la poesía; la enseñanza de la literatura y la revisión de las estrategias que caracterizan cada enfoque. Lo anteriormente expuesto permitió determinar los lineamientos para sistematizar la enseñanza de la poesía a través de la aplicación de las estrategias que corresponden a los enfoques Comunicativo, Natural e Inteligencias Múltiples

Achievable DoF-delay trade-offs for the K-user MIMO interference channel with delayed CSIT

©2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.The degrees of freedom (DoFs) of the K-user multiple-input multiple-output (MIMO) interference channel are studied when perfect, but delayed channel state information is available at the transmitter side (delayed CSIT). Recent works have proposed schemes improving the DoF knowledge of the interference channel, but at the cost of developing transmission involving many channel uses (long delay), thus increasing the complexity at both transmitter and receiver side. This paper proposes three linear precoding strategies, limited to at most three phases, based on the concept of interference alignment, and built upon three main ingredients: delayed CSIT precoding, user scheduling, and redundancy transmission. In this respect, the interference alignment is realized by exploiting delayed CSIT to align the interference at the non-intended receivers along the space-time domain. Moreover, a new framework is proposed where the number of transmitted symbols and duration of the phases is obtained as the solution of a maximization problem, and enabling the introduction of complexity constraints, which allows deriving the achievable DoF as a function of the transmission delay, i.e., the achievable DoF-delay trade-off. Finally, the latter part of this paper settles that the assumption of time-varying channels common along all the literature on delayed CSIT is indeed unnecessary.Peer ReviewedPostprint (author's final draft

Del Misal Rico de Cisneros y de la Biblia Políglota Complutense o bien del manuscrito al impreso

Aunque de distinto signo y filiación, el Misal Rico (1504-1517) y la Biblia Políglota (1514-1517) se asocian al cardenal Cisneros. Son probablemente las más ambiciosas empresas librarias del siglo -el misal sin duda es la obra cumbre de la miniatura hispánica del XVI-. Esta excepcional secuencia de libros se presenta como una cadena de pausas y avances, tejiendo una imbricada trama en la que se cruzan estrategias religiosas, artísticas, políticas e ideológicas.The Misal Rico (1504-1517) and the Biblia Políglota (1514-1517), although of different sind and authorship, are both associated to Cardinal Cisneros. These works are probably the most ambicious book projects of the sixteenth century -the missal is without doubt the master piece of the Renaissance Hispanic Miniature-. The exceptional sequence of these two books weave an imbricated net in which religious, artistic, political and ideological strategies cross, shaping a complex chane of pauses and advancements