Distributed space-time codes for cooperative networks with partial CSI

Design criteria and full-diversity Distributed Space Time Codes (DSTCs) for the two phase transmission based cooperative diversity protocol of Jing-Hassibi and the Generalized Nonorthogonal Amplify and Forward (GNAF) protocol are reported, when the relay nodes are assumed to have knowledge of the phase component of the source to relay channel gains. It is shown that this under this partial channel state information (CSI), several well known space time codes for the colocated MIMO (Multiple Input Multiple Output) channel become amenable for use as DSTCs. In particular, the well known complex orthogonal designs, generalized coordinate interleaved orthogonal designs (GCIODs) and unitary weight single symbol decodable (UW-SSD) codes are shown to satisfy the required design constraints for DSTCs. Exploiting the relaxed code design constraints, we propose DSTCs obtained from Clifford Algebras which have low ML decoding complexity.

Kernels for large margin time-series classification

In this paper we propose a novel family of kernels for multivariate time-series classification problems. Each time-series is approximated by a linear combination of piecewise polynomial functions in a Reproducing Kernel Hilbert Space by a novel kernel interpolation technique. Using the associated kernel function a large margin classification formulation is proposed which can discriminate between two classes. The formulation leads to kernels, between two multivariate time-series, which can be efficiently computed. The kernels have been successfully applied to writer independent handwritten character recognition.

Detection of SFBC-OFDM signals in frequency- and time-selective MIMO channels

Use of space-frequency block coded (SFBC) OFDM signals is advantageous in high-mobility broadband wireless access, where the channel is highly time- as well as frequency-selective because of which the receiver experiences both inter-symbol interference (ISI) as well as inter-carrier interference (10). ISI occurs due to the violation of the 'quasi-static' fading assumption caused due to frequency- and/or time-selectivity of the channel. In addition, ICI occurs due to time-selectivity of the channel which results in loss of orthogonality among the subcarriers. In this paper, we are concerned with the detection of SFBC-OFDM signals on time- and frequency-selective MIMO channels. Specifically, we propose and evaluate the performance of an interference cancelling receiver for SFBC-OFDM which alleviates the effects of ISI and ICI in highly time- and frequency-selective channels.

ICI-ISI mitigation in cooperative SFBC-OFDM with carrier frequency offset

Synchronization issues pose a big challenge in cooperative communications. The benefits of cooperative diversity could be easily undone by improper synchronization. The problem arises because it would be difficult, from a complexity perspective, for multiple transmitting nodes to synchronize to a single receiver. For OFDM based systems, loss of performance due to imperfect carrier synchronization is severe, since it results in inter-carrier interference (ICI). The use of space-time/space-frequency codes from orthogonal designs are attractive for cooperative encoding. But orthogonal designs suffer from inter-symbol interference (ISI) due to the violation of quasi-static assumption, which can arise due to frequency- or time-selectivity of the channel. In this paper, we are concerned with combating the effects of i) ICI induced by carrier frequency offsets (CFO), and ii) ISI induced by frequency selectivity of the channel, in a cooperative communication scheme using space-frequency block coded (SFBC) OFDM. Specifically, we present an iterative interference cancellation (IC) algorithm to combat the ISI and ICI effects. The proposed algorithm could be applied to any orthogonal or quasi-orthogonal designs in cooperative SFBC OFDM schemes.

Four group decodable differential scaled unitary linear space-time codes

Differential Unitary Space-Time Block codes (STBCs) offer a means to communicate on the Multiple Input Multiple Output (MIMO) channel without the need for channel knowledge at both the transmitter and the receiver. Recently Yuen-Guan-Tjhung have proposed Single-Symbol-Decodable Differential Space-Time Modulation based on Quasi-Orthogonal Designs (QODs) by replacing the original unitary criterion by a scaled unitary criterion. These codes were also shown to perform better than differential unitary STBCs from Orthogonal Designs (ODs). However the rate (as measured in complex symbols per channel use) of the codes of Yuen-Guan-Tjhung decay as the number of transmit antennas increase. In this paper, a new class of differential scaled unitary STBCs for all even number of transmit antennas is proposed. These codes have a rate of 1 complex symbols per channel use, achieve full diversity and moreover they are four-group decodable, i.e., the set of real symbols can be partitioned into four groups and decoding can be done for the symbols in each group separately. Explicit construction of multidimensional signal sets that yield full diversity for this new class of codes is also given.

THE BERGMAN KERNEL FUNCTION

In this note, we point out that a large family of n x n matrix valued kernel functions defined on the unit disc D subset of C, which were constructed recently in [9], behave like the familiar Bergman kernel function on ID in several different ways. We show that a number of questions involving the multiplication operator on the corresponding Hilbert space of holomorphic functions on D can be answered using this likeness.

Two elementary proofs of the Wigner theorem on symmetry in quantum mechanics

In quantum theory, symmetry has to be defined necessarily in terms of the family of unit rays, the state space. The theorem of Wigner asserts that a symmetry so defined at the level of rays can always be lifted into a linear unitary or an antilinear antiunitary operator acting on the underlying Hilbert space. We present two proofs of this theorem which are both elementary and economical. Central to our proofs is the recognition that a given Wigner symmetry can, by post-multiplication by a unitary symmetry, be taken into either the identity or complex conjugation. Our analysis often focuses on the behaviour of certain two-dimensional subspaces of the Hilbert space under the action of a given Wigner symmetry, but the relevance of this behaviour to the larger picture of the whole Hilbert space is made transparent at every stage.

A systematic design of high-rate full-diversity space-frequency codes for MIMO-OFDM systems

This paper presents a systematic construction of high-rate and full-diversity space-frequency block codes for MIMO-OFDM systems. While all prior constructions offer only a maximum rate of one complex symbol per channel use, our construction yields rate equal to the number of transmit antennas and simultaneously achieves full-diversity. The proposed construction works for arbitrary number of transmit antennas and arbitrary channel power delay profile. A key step in this construction is the generalization of the stacked matrix code design criteria given by Bolcskei et.al., (IEEE WCNC 2000). Explicit equivalence of our generalized code design criteria with the Hadamard-product based criteria of W. Su et.al., (lEEE Trans. Sig. Proc. Nov 2003) is established and new high-rate codes are constructed using our criteria.

Existence and approximations of solutions to some fractional order functional integral equations

In this paper we shall study a fractional order functional integral equation. In the first part of the paper, we proved the existence and uniqueness of mile and global solutions in a Banach space. In the second part of the paper, we used the analytic semigroups theory oflinear operators and the fixed point method to establish the existence, uniqueness and convergence of approximate solutions of the given problem in a separable Hilbert space. We also proved the existence and convergence of Faedo-Galerkin approximate solution to the given problem. Finally, we give an example.

Siirtonaisena Singaporessa : Ulkomaantyökomennuksille mukaan muuttaneet suomalaisnaiset kertovat kokemuksistaan

The objective of this qualitative study is to reveal the discursive reality of Finnish women, who have chosen to follow their husbands to expatriate assignments. The research material includes interviews of seventeen (17) Finnish housewives who lived in Singapore in 1999. The primary theoretical framework of the study is a social-constructive view, in which the reality is seen to have been constructed through meanings that create and maintain cultural practices, social roles and institutions. Gender is interpreted as produced socially, politically and in language. Human beings in the study exist as cultural and social beings with sex. An underlying assumption of the analysis is that the women in the study do not recognize their experience from their position that has been located to the prompt box in a play of expatriate assignment a role that is offered to them by the business sciences. Referring to Somers (1994) these women suffer of narrative silence as they lack public narratives that correspond to their circumstances. According to Williams (1983), an experience is an evidence of conditions. Therefore, the experiences of the women, who have followed their husbands to expatriate assignments, include information of their conditions. The analysis of the interview material has been performed in two phases: First, the women's experiences are identified from the research material. Thereafter, by means of discourse analysis the experiences are revealed analytically. This revealing process can also be regarded as an articulation of a counter-narrative. The research results can be found from three such discursive interpretations that are offered to the women and from eight such discursive interpretations that can be drawn from the women's own experiences. One of the discursive interpretations, which came out from the women's own experiences, is named as cultural dysphasia. In the study, cultural dysphasia is defined as a condition, in which the women have a difficulty in making their lived reality understood by others outside the sphere of their situation. Finnish women do not only lack public narrative, but the absence of a housewife-culture in Finland prevents them from any public narrative that would have a positive tone. To avoid dependence on the housewife concept, a woman's decision to follow her husband to an expatriate assignment is interpreted as a demonstration of solidarity to the relationship. In this connection, these Finnish women are re-named as 'siirtonainen' (Finnish, literally 'transfer woman'). This is the first scientific study to make visible the lived reality of Finnish women who have followed their husbands to expatriate assignments. The study will help the women in similar circumstances to find their marks among the current narratives. By reducing dichotomy between housewives and career women, which is damaging to women, and by creating the concept of 'siirtonainen' it will be possible to expand the cultural space of Finnish women. Finally, the study argues that a Finnish career woman, grown together with the imperative of self-support, has been lifted up as one symbol of modern Finland. Key words: expatriate research, experience, public narrative, narrative silence, cultural dysphasia, siirtonainen - transfer woman

STBC's from representation of extended Clifford Algebras

A set of sufficient conditions to construct lambda-real symbol Maximum Likelihood (ML) decodable STBCs have recently been provided by Karmakar et al. STBCs satisfying these sufficient conditions were named as Clifford Unitary Weight (CUW) codes. In this paper, the maximal rate (as measured in complex symbols per channel use) of CUW codes for lambda = 2(a), a is an element of N is obtained using tools from representation theory. Two algebraic constructions of codes achieving this maximal rate are also provided. One of the constructions is obtained using linear representation of finite groups whereas the other construction is based on the concept of right module algebra over non-commutative rings. To the knowledge of the authors, this is the first paper in which matrices over non-commutative rings is used to construct STBCs. An algebraic explanation is provided for the 'ABBA' construction first proposed by Tirkkonen et al and the tensor product construction proposed by Karmakar et al. Furthermore, it is established that the 4 transmit antenna STBC originally proposed by Tirkkonen et al based on the ABBA construction is actually a single complex symbol ML decodable code if the design variables are permuted and signal sets of appropriate dimensions are chosen.

Lippu, uhri, kansakunta : Ryhmäkokemukset ja -rajat Suomessa 1917 1945

This dissertation deals with the notions of sacrifice and violence in connection with the Fin¬nish flag struggles between 1917 and 1945. The study begins with the basic idea that sacrificial thinking is a key element in nationalism and the social cohesion of large groups. The method used in the study combines anthropological notions of totemism with psychoanalytical object relation theory. The aim is to explore the social and psychological elements of the Finnish national flag and the workers flags during the times of crisis and nation building. The phenomena and concepts addressed include self-sacrifice, scapegoating, remembrance of war, inclusion, and exclusion. The research is located at the intersection of nationalism studies and the cultural history of war. The analysis is based primarily on the press debates, public speeches and archival sources of the civic organizations that promoted the Finnish flag. The study is empirically divided into three sections: 1) the years of the Revolution and the Civil War (1917 1918), 2) the interwar period (1919 1938), and 3) the Second World War (1939 1945). The research demonstrates that the modern national flags and workers flags in Finland maintain certain characteristics of primitive totems. When referred to as a totem the flag means an emotionally charged symbol, a reservoir of the collective ideals of a large group. Thus the flag issue offers a path to explore the perceptions and memory of sacrifice and violence in the making of the First Republic . Any given large group, for example a nation, must conceptually pursue a consensus on its past sacrifices. Without productive interpretation sacrifice represents only meaningless violence. By looking at the passions associated with the flag the study also illuminates various group identities, boundaries and crossings of borders within the Finnish society at the same time. The study shows further that the divisive violence of the Civil War was first overcome in the late 1930s when the social democrats adopted a new perception of the Red victims of 1918 they were seen as part of the birth pains of the nation, and not only the martyrs of class struggle. At the same time the radical Right became marginalized. The study also illuminates how this development made the Spirit of the Winter War possible, a genuine albeit brief experience of horizontal brother and sisterhood, and how this spirit was reflected in the popular adoption of the Finnish flag. The experience was not based only on the external and unifying threat posed by the Soviet Union: it was grounded in a sense of unifying sacrifice which reflected a novel way of understanding the nation and its past sacrifices. Paradoxically, the newly forged consensus over the necessity and the rewards of the common sacrifices of the Winter War (1939 1940) made new sacrifices possible during the Continuation War (1941 1944). In spite of political discord and war weariness, the concept of a unified nation under the national flag survived even the absurdity of the stationary war phase. It can be said that the conflict between the idea of a national community and parliamentary party politics dissolved as a result of the collective experience of the Second World War.

Potential functions for hydrogen bond interactions - IV. Minimum Energy Conformation of the α-Helical Structure of PoIy-L-Alanine

Making use of the empirical potential functions for peptide NH .. O bonds, developed in this laboratory, the relative stabilities of the rightand left-handed α-helical structures of poly-L-alanine have been investigated, by calculating their conformational energies (V). The value of Vmin of the right-handed helix (αP) is about - 10.4 kcal/mole, and that of the left-handed helix (αM) is about - 9.6 kcal/mole, showing that the former is lower in energy by 0.8 kcal/mole. The helical parameters of the stable conformation of αP are n ∼ 3.6 and h ∼ 1.5 Å. The hydrogen bond of length 2.85 Å and nonlinearity of about 10° adds about 4.0 kcal/ mole to the stabilising energy of the helix in the minimum enregy region. The energy minimum is not sharply defined, but occurs over a long valley, suggesting that a distribution of conformations (φ{symbol}, ψ) of nearly the same energy may occur for the individual residues in a helix. The experimental data of a-helical fibres of poly-L-alanine are in good agreement with the theoretical results for αP. In the case of proteins, the mean values of (φ{symbol}, ψ) for different helices are distributed, but they invariably occur within the contour for V = Vmin + 2 kcal/mole for αP.

Approximation of solutions to fractional integral equation

In this paper we shall study a fractional integral equation in an arbitrary Banach space X. We used the analytic semigroups theory of linear operators and the fixed point method to establish the existence and uniqueness of solutions of the given problem. We also prove the existence of global solution. The existence and convergence of the Faedo–Galerkin solution to the given problem is also proved in a separable Hilbert space with some additional assumptions on the operator A. Finally we give an example to illustrate the applications of the abstract results.

Helical FDK Algorithms With No Backprojection Weight

In this paper, we present two new filtered backprojection (FBP) type algorithms for cylindrical detector helical cone-beam geometry with no position dependent backprojection weight. The algorithms are extension of the recent exact Hilbert filtering based 2D divergent beam reconstruction with no backprojection weight to the FDK type algorithm for reconstruction in 3D helical trajectory cone-beam tomography. The two algorithms named HFDK-W1 and HFDK-W2 result in better image quality, noise uniformity, lower noise and reduced cone-beam artifacts.