73,155 research outputs found
When Network Coding and Dirty Paper Coding meet in a Cooperative Ad Hoc Network
We develop and analyze new cooperative strategies for ad hoc networks that
are more spectrally efficient than classical DF cooperative protocols. Using
analog network coding, our strategies preserve the practical half-duplex
assumption but relax the orthogonality constraint. The introduction of
interference due to non-orthogonality is mitigated thanks to precoding, in
particular Dirty Paper coding. Combined with smart power allocation, our
cooperation strategies allow to save time and lead to more efficient use of
bandwidth and to improved network throughput with respect to classical RDF/PDF.Comment: 7 pages, 7 figure
L2 Orthogonal Space Time Code for Continuous Phase Modulation
To combine the high power efficiency of Continuous Phase Modulation (CPM)
with either high spectral efficiency or enhanced performance in low Signal to
Noise conditions, some authors have proposed to introduce CPM in a MIMO frame,
by using Space Time Codes (STC). In this paper, we address the code design
problem of Space Time Block Codes combined with CPM and introduce a new design
criterion based on L2 orthogonality. This L2 orthogonality condition, with the
help of simplifying assumption, leads, in the 2x2 case, to a new family of
codes. These codes generalize the Wang and Xia code, which was based on
pointwise orthogonality. Simulations indicate that the new codes achieve full
diversity and a slightly better coding gain. Moreover, one of the codes can be
interpreted as two antennas fed by two conventional CPMs using the same data
but with different alphabet sets. Inspection of these alphabet sets lead also
to a simple explanation of the (small) spectrum broadening of Space Time Coded
CPM
Dynamic Specification Tests for Static Factor Models
We derive computationally simple score tests of serial correlation in the levels and squares of common and idiosyncratic factors in static factor models. The implicit orthogonality conditions resemble the orthogonality conditions of models with observed factors but the weighting matrices refl
ect their unobservability. We derive more powerful tests for elliptically symmetric distributions, which can be either parametrically or semipametrically specified, and robustify the Gaussian tests against general non-normality. Our Monte Carlo exercises assess the finite sample reliability and power of our proposed tests, and compare them to other existing procedures. Finally, we apply our methods to monthly US stock returns.ARCH, Financial returns, Kalman filter, LM tests, Predictability
Modal Expansions and Orthogonal Complements in the Theory of Complex Media Waveguide Excitation by External Sources for Isotropic, Anisotropic, and Bianisotropic Media
A unified electrodynamic approach to the guided wave excitation by external
sources in the waveguiding structures with bianisotropic media is developed.
Effect of electric, magnetic, and magneto- electric losses in such media
manifests itself in the special form of eigenmode orthogonality referred to as
the quasi-orthogonality relation. It reflects the existence of the cross-power
flow and for any pair of modes which are rigidly linked to each other by this
relation. The quasi-orthogonality relation remains true in the limiting case of
lossless waveguides yielding the customary relations of orthogonality and
normalization for propagating (active) modes and also their generalization for
nonpropagating (reactive) modes. It is shown that the eigenmode set for a
waveguiding structure is complete only outside the region of exciting sources.
Inside this region the modal expansions of fields are incomplete and must be
supplemented with the orthogonal complementary fields which extend the proper
Hilbert space spanned by waveguide eigenfunctions. Among exciting sources there
are the external bulk sources (currents, fields, and medium perturbations) and
the external surface currents. Besides, the orthogonal complementary fields
generate the effective surface currents on boundaries of the bulk exciting
sources. The problem of waveguide excitation by external sources is solved by
means of determining both the mode amplitudes for the modal field expansions
and the orthogonal complementary fields inside the source region. The equations
of mode excitation are derived on the basis of three approaches applying the
direct use of Maxwell's equations, the electrodynamic analogy with the
mathematical method of variation of constants, and the conjugate reciprocity
theorem.Comment: LaTeX 2.09, 46 pages with two mathematical appendixe
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Acoustic scattering in waveguides that are discontinuous in geometry and material property
The scattering of acoustic waves at the discontinuity between two ducts of different heights is considered. At least one of the ducts is bounded by a membrane and, thus, the underlying eigenproblem is non-Sturm–Liouville. A mode-matching procedure, based on an appropriate orthogonality relation, reduces the problem to that of truncating and solving an infinite system
of linear equations. The distribution of power between the fluid regions and the membrane(s) is analysed. Further, it is shown that a fundamental
property of the truncated system is that the expression for power balance is always satisfied
Full Rate L2-Orthogonal Space-Time CPM for Three Antennas
To combine the power efficiency of Continuous Phase Modulation (CPM) with
enhanced performance in fading environments, some authors have suggested to use
CPM in combination with Space-Time Codes (STC). Recently, we have proposed a
CPM ST-coding scheme based on L2-orthogonality for two transmitting antennas.
In this paper we extend this approach to the three antennas case. We
analytically derive a family of coding schemes which we call Parallel Code
(PC). This code family has full rate and we prove that the proposed coding
scheme achieves full diversity as confirmed by accompanying simulations. We
detail an example of the proposed ST codes that can be interpreted as a
conventional CPM scheme with different alphabet sets for the different transmit
antennas which results in a simplified implementation. Thanks to
L2-orthogonality, the decoding complexity, usually exponentially proportional
to the number of transmitting antennas, is reduced to linear complexity
The Effect of Metal Thickness on Si Wire to Plasmonic Slot Waveguide Mode Conversion
We investigate mode converters for Si wire to plasmonic slot waveguides at
1550 nm telecom wavelength. The structures are based on a taper geometry. We
provide optimal dimensions with more than 90% power transmission for a range of
metal (Au) thicknesses between 30-250 nm. We provide details on how to
differentiate between the total power and the power in the main mode of the
plasmonic slot waveguide. Our analysis is based on the orthogonality of modes
of the slot waveguide subject to a suitable inner product definition. Our
results are relevant for lowering the insertion loss and the bit error rate of
plasmonic modulators.Comment: 4 pages, 7 figures, 2 tables, preprint version of the published
paper, includes only the English abstrac
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