Quaternion Model of Higher-Order Rotating Polarization Wave Modulation for High Data Rate M2M LPWAN Communication.

With growing interest in Industry 4.0, machine-to-machine communication (M2M) will become the key enabler for low-power wide area networks (LPWANs) in connecting machines and sensor nodes distributed across a distance in the industrial environment. The choice of modulation and diversity techniques, and the selection of spectrum (licensed/unlicensed) will impact and influence the requirements of wireless M2M systems. Link reliability is one of the most important requirements for LPWAN deployment in industrial scenarios. Rotating Polarization Wave (RPW) system has been recently proposed as an LPWAN solution for reliable M2M communication in high clutter environment and it deploys BPSK modulation with polarization diversity (PD). This paper proposes a new multi-level Rotating Polarization Phase-Shift Keying (RP-MPSK) modulation to provide high data rate and energy efficiency. A novel quaternion model for RPW system (Q-RPW) is also proposed to reduce the complexity in modeling, simulation, and implementation. Results using Q-RPW model show that RP-MPSK modulation offers a high diversity gain over BPSK with second-order diversity. Bit error rate (BER) performance of RP-MPSK modulation compared against other LPWAN modulation like MPSK, FSK and QAM has shown high reliability and substantial improvement in SNR. To overcome the degradation in error performance caused by the proposed higher-order modulation, sampling rates are recommended based on BER performance. BER performance of RP-MPSK under multipath and interference conditions is also investigated.

Correlation between the hydrogen-bond structures and the C=O stretching frequencies of carboxylic acids as studied by density functional theory calculations: theoretical basis for interpretation of infrared bands of carboxylic groups in proteins.

Carboxylic groups (COOH) of Asp and Glu side chains often function as key components in enzymatic reactions, and identifying their H-bond structures in the active sites is essential for understanding the reaction mechanisms. In this study, the correlation between the H-bond structures and the C=O stretching (nuC=O) frequencies of COOH groups was studied using density functional theory calculations. The nuC=O frequencies and their shifts upon OH deuteration were calculated for model complexes of acetic acid and propionic acid H bonded at different sites with various compounds. Calculation results together with some experimental data showed that, upon direct H bonding at the C=O group, the nuC=O frequencies downshift from the free value (1770-1780 cm(-1) in an Ar matrix) to 1745-1760 cm(-1), while H bonding at the OH hydrogen induce even larger downshifts to provide the frequencies at 1720-1745 cm(-1). In contrast, when the COH oxygen is H-bonded, the nuC=O frequencies upshift to 1785-1800 cm(-1). In double and multiple H-bond forms, H-bonding effects at individual sites are basically additive, and complexes in which the C=O and the OH hydrogen are simultaneously H bonded exhibit significantly low nuC=O frequencies at 1725-1700 cm(-1), while complexes H bonded at the oxygen of the COH in addition to either at the C=O or the OH hydrogen exhibit medium frequencies of 1740-1765 cm(-1). The nuC=O frequencies linearly correlate with the C=O lengths, which are changed by H bonding at different sites. Upon OH deuteration, all the complexes showed nuC=O downshifts mostly by approximately 10 cm(-1) and in some cases as large as approximately 20 cm(-1), and hence deuteration-induced downshifts can be a good indicator, irrespective of H-bond forms, for assignments of the nuC=O bands of carboxylic groups. The results in this study provide the criteria for determining the H-bond structures of Asp and Glu side chains in proteins using their nuC=O bands in Fourier transform infrared spectra.

Protonation structures of Cys-sulfinic and Cys-sulfenic acids in the photosensitive nitrile hydratase revealed by Fourier transform infrared spectroscopy.

Nitrile hydratase (NHase) from Rhodococcus N-771, which catalyzes hydration of nitriles to the corresponding amides, exhibits novel photosensitivity; in the dark, it is in the inactive form that binds an endogenous nitric oxide (NO) molecule at the non-heme iron center, and photodissociation of the NO activates the enzyme. NHase is also known to have a unique active site structure. Two cysteine ligands to the iron center, alphaCys112 and alphaCys114, are post-translationally modified to sulfinic acid (Cys-SO(2)H) and sulfenic acid (Cys-SOH), respectively, which are thought to play a crucial role in the catalytic reaction. Here, we have determined the protonation structures of these Cys-SO(2)H and Cys-SOH groups using Fourier transform infrared (FTIR) spectroscopy in combination with density functional theory (DFT) calculations. The light-induced FTIR difference spectrum of NHase between the dark inactive and light active forms exhibited two prominent signals at (1154-1148)/1126 and (1040-1034)/1019 cm(-1), which downshifted to 1141/1114 and 1026/1012 cm(-1), respectively, in the uniformly (34)S-labeled NHase. In addition, a minor signal at 915/908 cm(-1) also showed a considerable downshift upon (34)S labeling. These (34)S-sensitive signals were basically conserved in D(2)O buffer with only slight shifts. Vibrational frequencies of methanesulfenic acid (CH(3)SOH) and methanesulfinic acid (CH(3)SO(2)H), simple model compounds of Cys-SOH and Cys-SO(2)H, respectively, were calculated using the DFT method in both the protonated and deprotonated forms and in metal complexes. Comparison of the calculated frequencies and isotope shifts with the observed ones provided the assignment of the two major signals around 1140 and 1030 cm(-1) to the asymmetric and symmetric SO(2) stretching vibrations, respectively, of the S-bonded Cys-SO(2)(-) complex, and the assignment of the minor signal around 910 cm(-1) most likely to the SO stretch of the S-bonded Cys-SO(-) complex. These assignments and the small frequency shifts upon deuteration are consistent with the view that the deprotonated alphaCys112-SO(2)(-) and alphaCys114-SO(-) are hydrogen-bonded with the protons from betaArg56 and/or betaArg141, forming a reactive cavity at the interface of the alpha and beta subunits. There is further speculation that either of these groups is hydrogen bonded to a reactant water molecule, increasing its basicity to facilitate the nucleophilic attack on the nitrile substrate bound to the iron center.