Capacity Bounds for Two-Hop Interference Networks

This paper considers a two-hop interference network, where two users transmit independent messages to their respective receivers with the help of two relay nodes. The transmitters do not have direct links to the receivers; instead, two relay nodes serve as intermediaries between the transmitters and receivers. Each hop, one from the transmitters to the relays and the other from the relays to the receivers, is modeled as a Gaussian interference channel, thus the network is essentially a cascade of two interference channels. For this network, achievable symmetric rates for different parameter regimes under decode-and- forward relaying and amplify-and-forward relaying are proposed and the corresponding coding schemes are carefully studied. Numerical results are also provided.Comment: 8 pages, 5 figures, presented in Allerton Conference'0

Excitation of high frequency voices from intermediate-mass-ratio inspirals with large eccentricity

The coalescence of a stellar-mass compact object together with an intermediate-mass black hole, also known as intermediate-mass-ratio inspiral, is usually not expected to be a viable gravitational wave source for the current ground-based gravitational wave detectors, due to the generally lower frequency of such source. In this paper, we adopt the effective-one-body formalism as the equation of motion, and obtain the accurately calculated gravitational waveforms by solving the Teukolsky equation in frequency-domain. We point out that high frequency modes of gravitational waves can be excited by large eccentricities of intermediate-mass-ratio inspirals. These high frequency modes can extend to more than 10 Hz, and enter the designed sensitive band of Advanced LIGO and Advanced Virgo. We propose that such kind of highly eccentric intermediate-mass-ratio inspirals could be feasible sources and potentially observable by the ground-based gravitational wave detectors, like the Advanced LIGO and Advanced Virgo.Comment: 16 pages, 16 figures. Class. Quant. Gravity, accepte

(E)-2-Meth­oxy-N′-(4-methoxy­benzyl­idene)benzohydrazide

The mol­ecule of the title compound, C16H16N2O3, displays an E configuration about the C=N bond. The dihedral angle between the two benzene rings is 99.0 (2)°. In the crystal structure, mol­ecules are linked through inter­molecular N—H⋯O hydrogen bonds, forming chains running along the b axis

(E)-4-Chloro-N′-(5-hydr­oxy-2-nitro­benzyl­idene)benzohydrazide

The title compound, C14H10ClN3O4, was synthesized by the reaction of 5-hydr­oxy-2-nitro­benzaldehyde with an equimolar quantity of 4-chloro­benzohydrazide in methanol. The mol­ecule displays an E configuration about the C=N bond. The dihedral angle between the two benzene rings is 3.9 (2)°. In the crystal structure, mol­ecules are linked through inter­molecular N—H⋯O and O—H⋯O hydrogen bonds, forming chains running along the b axis

(E)-N′-(2-Chloro­benzyl­idene)-2-methoxy­benzohydrazide

The mol­ecule of the title compound, C15H13ClN2O2, displays an E configuration about the C=N bond. The dihedral angle between the two benzene rings is 77.1 (2)°. In the crystal structure, mol­ecules are linked through inter­molecular N—H⋯O hydrogen bonds, forming chains running along the b axis

(E)-3-Bromo-N′-(2,4-dichloro­benzyl­idene)benzohydrazide

The title compound, C14H9BrCl2N2O, was synthesized by the reaction of 2,4-dichloro­benzaldehyde with an equimolar quantity of 3-bromo­benzohydrazide in methanol. The mol­ecule displays an E configuration about the C=N bond. The dihedral angle between the two benzene rings is 5.3 (2)°. In the crystal structure, mol­ecules are linked through inter­molecular N—H⋯O and C—H⋯O hydrogen bonds, forming chains running along the c axis

(E)-3-Bromo-N′-(4-methoxy­benzyl­idene)benzohydrazide methanol solvate

The title compound, C15H13BrN2O2·CH3OH, was synthesized by the reaction of 4-methoxy­benzaldehyde with an equimolar quantity of 3-bromo­benzohydrazide in methanol. The benzohydrazide mol­ecule displays an E configuration about the C=N bond. The dihedral angle between the two benzene rings is 4.0 (2)°. The benzohydrazide and methanol mol­ecules are linked into a chain propagating along the b axis by O—H⋯O, O—H⋯N, N—H⋯O and C—H⋯O hydrogen bonds

(E)-4-Chloro-N′-(2-chloro­benzyl­idene)benzohydrazide

The title compound, C14H10Cl2N2O, was synthesized by the reaction of 2-chloro­benzaldehyde with an equimolar quantity of 4-chloro­benzohydrazide in methanol. The mol­ecule displays an E configuration about the C=N bond. The dihedral angle between the two benzene rings is 8.6 (2)°. In the crystal structure, mol­ecules are linked through inter­molecular N—H⋯O hydrogen bonds, forming chains running along the c axis