ZF DFE transceiver design for MIMO relay systems with direct source-destination link

In this paper we consider a non-linear transceiver design for non-regenerative multiple-input multiple-output (MIMO) relay networks where a direct link exists between the source and destination. Our system utilises linear processors at the source and relay as well as a zero-forcing (ZF) decision feedback equaliser (DFE) at the receiver. Under the assumption that full channel state information (CSI) is available the precoding and equaliser matrices are designed to minimise the arithmetic mean square error (MSE) whilst meeting transmit power constraints at the source and destination. The source, relay, and destination processors are provided in closed form solution. In the absence of the direct link our design particularises to a previous ZF DFE solution and as such can be viewed as a generalisation of an existing work. We demonstrate the effectiveness of the proposed solution through simulation and show that it outperforms existing techniques in terms of bit error ratio (BER)

Robust transceiver design for MIMO relay systems with tomlinson harashima precoding

In this paper we consider a robust transceiver design for two hop non-regenerative multiple-input multiple-output (MIMO) relay networks with imperfect channel state information (CSI). The transceiver consists of Tomlinson Harashima Pre-coding (THP) at the source with a linear precoder at the relay and linear equalisation at the destination. Under the assumption that each node in the network can acquire statistical knowledge of the channel in the form of a channel mean and estimation error covariance, we optimise the processors to minimise the expected arithmetic mean square error (MSE) subject to transmission power constraints at the source and relay. Simulation results demonstrate the robustness of the proposed transceiver design to channel estimation errors

Tomlinson Harashima precoding design for non-regenerative MIMO relay networks

In this paper we consider the design of minimum mean square error (MMSE) transceivers for non-regenerative multiple input multiple output (MIMO) relay systems. Our design utilises Tomlinson Harashima precoding (THP) at the source along with linear processors in each stage of the network. Assuming full channel state information (CSI) is available at each node in the network the various processors are jointly optimised to minimise the system arithmetic mean square error (MSE) whilst abiding by average power constraints at both the source and relay terminals in the network. Simulations show that the proposed schemes outperform existing methods in terms of bit error ratio (BER)

Inversion of Parahermitian matrices

Parahermitian matrices arise in broadband multiple-input multiple-output (MIMO) systems or array processing, and require inversion in some instances. In this paper, we apply a polynomial eigenvalue decomposition obtained by the sequential best rotation algorithm to decompose a parahermitian matrix into a product of two paraunitary, i.e.lossless and easily invertible matrices, and a diagonal polynomial matrix. The inversion of the overall parahermitian matrix therefore reduces to the inversion of auto-correlation sequences in this diagonal matrix. We investigate a number of different approaches to obtain this inversion, and and assessment of the numerical stability and complexity of the inversion process

The process of infection with bacteriophage phiX174, XXX. Replication of double-stranded phiX DNA

Intermediates involved in the replication of double-stranded phiX174 RF DNA have been identified and partially characterized. Analysis of pulse-labeled RF DNA suggests that the synthesis of progeny RF molecules involves, in part, the addition of nucleotides to linear complementary strands on a circular parental strand as template, so as to produce intermediate DNA strands of greater than viral length. Electron microscopy reveals DNA rings with "tails" and "double rings," which could be the intermediate structures. A model is postulated for the replication process

THE PREMISES OF THE JUDGMENT AS RES JUDICATA IN CONTINENTAL AND ANGLO-AMERICAN LAW

That every judicial judgment, whatever its character, consists of premises and conclusion is a fact sufficiently obvious. In our system, especially, expression of the premises must very often be sought outside the actual judgment-order and collected from other parts of the judicial record or even from evidence aliunde of what took place at the hearing. But the legal nature of the relation between premises and conclusion is independent of the particular structure of the record and the mode of ascertaining what those premises were. Given satisfaction of the requirements of the law with respect to identity of parties, it is true everywhere that the rule of res judicata applies to the conclusion, but as regards its effect upon the premises wide differences exist between the Anglo-American law and the Continental. The present inquiry is directed to a brief consideration of these differences in the scope of res judicata with respect to the subject-matter involved: we leave out of view any question as to the persons affected. In other words, to borrow from Continental phraseology, what we are concerned with relates to the objective limits of res judicata (scope as to subject matter) as distinguished from its subjective limits, (scope as to parties)

THE PREMISES OF THE JUDGMENT AS RES JUDICATA IN CONTINENTAL AND ANGLO-AMERICAN LAW

The newly reconstituted Supreme Court of the United States has become the center of an earnest controversy with respect to the true role of the Court in constitutional interpretation. The general controversy is, of course, far from new. What makes it of more than ordinary significance is that the Court itself is revealing a tendency substantially to alter the extent, if not the nature, of judicial review. This tendency has not yet become clearly dominant, but it is apparent enough to shake the implicit faith in the Court of many of those to whom, before 1937, any criticism of the tribunal was something akin to heresy