Density Evolution for Asymmetric Memoryless Channels

Density evolution is one of the most powerful analytical tools for low-density parity-check (LDPC) codes and graph codes with message passing decoding algorithms. With channel symmetry as one of its fundamental assumptions, density evolution (DE) has been widely and successfully applied to different channels, including binary erasure channels, binary symmetric channels, binary additive white Gaussian noise channels, etc. This paper generalizes density evolution for non-symmetric memoryless channels, which in turn broadens the applications to general memoryless channels, e.g. z-channels, composite white Gaussian noise channels, etc. The central theorem underpinning this generalization is the convergence to perfect projection for any fixed size supporting tree. A new iterative formula of the same complexity is then presented and the necessary theorems for the performance concentration theorems are developed. Several properties of the new density evolution method are explored, including stability results for general asymmetric memoryless channels. Simulations, code optimizations, and possible new applications suggested by this new density evolution method are also provided. This result is also used to prove the typicality of linear LDPC codes among the coset code ensemble when the minimum check node degree is sufficiently large. It is shown that the convergence to perfect projection is essential to the belief propagation algorithm even when only symmetric channels are considered. Hence the proof of the convergence to perfect projection serves also as a completion of the theory of classical density evolution for symmetric memoryless channels.Comment: To appear in the IEEE Transactions on Information Theor

On the height variation of the E-region cowling conductivity ? effect of charged dust particles

International audienceHeight profiles of the Cowling conductivity in the electrojet region, estimated using the atmospheric parameters given by the existing models like CIRA or MSIS and measured electron density profiles, consistently show the heights of the electrojet current intensity peak to be more than 3 km below those estimated from in-situ measurements using magnetometers on board sounding rockets. Kulkarni and Muralikrishna (2005) attempted to explain this to be due to the effect of neutral dust particles. They reported that neutral dust particles, when they exist in sufficient numbers, can modify the collision parameters, especially in the lower E-region, where dust particles of meteoric origin are known to exist in large numbers, and thereby can modify the Cowling conductivity profile in the electrojet region. This work is extended here to include the effect of charged dust particles. Dust particles can become charged negatively by the attachment of ambient free electrons, and can thus reduce the number density of free electrons especially below the electrojet peak. This can alter the vertical profile of the east-west Hall current driven by the vertical Hall polarization field, thereby causing a net reduction in the electrojet current. Such a decrease in the electrojet current may be observed on the ground magnetograms. This mechanism, as proposed here, can operate only during periods of strong meteor shower activity, when the dust particle density at the assumed deposit height of 103 km can reach extreme values (for example, 5×104 cm?3 of 1-µm diameter dust particles). Such a dense dust layer may even cause a reversal in the normally upward vertical Hall polarization field, within the dust layer, causing a reversal of the electrojet currents below the current peak

On associating Fast Radio Bursts with afterglows

A radio source that faded over six days, with a redshift of $z\approx0.5$ host, has been identified by Keane et al. (2016) as the transient afterglow to a fast radio burst (FRB 150418). We report follow-up radio and optical observations of the afterglow candidate and find a source that is consistent with an active galactic nucleus. If the afterglow candidate is nonetheless a prototypical FRB afterglow, existing slow-transient surveys limit the fraction of FRBs that produce afterglows to 0.25 for afterglows with fractional variation, $m=2|S_1-S_2|/(S_1+S_2)\geq0.7$, and 0.07 for $m\geq1$, at 95% confidence. In anticipation of a barrage of bursts expected from future FRB surveys, we provide a simple framework for statistical association of FRBs with afterglows. Our framework properly accounts for statistical uncertainties, and ensures consistency with limits set by slow-transient surveys.Comment: Accepted version (ApJL

Effect of Magnetic Field-aligned Currents on VLF Emissions in the Magnetosphere

117-120The dispersion relation for the electromagnetic electron cyclotron waves in the presence of magnetic field-aligned currents has been obtained. The kinetic distribution of electrons for the main body of plasma with a temperature anisotropy and a loss cone distribution have been considered. In general, it has been seen that the current moving along the direction of resonant electrons reduce the growth rate. This effect has been analysed in the case of magnetospheric plasma to suggest possible correlations between the Birkeland currents and the emissions of very low frequency (VLF) electromagnetic waves

DETERMINATION OF BRADYCARDIA & TACHYCARDIA FROM ECG SIGNAL USING WAVELET TRANSFORM

The Automatic ECG signal analysis by wavelet transform (WT) along with MATLAB using signal processing and wavelet toolboxes to ease the process to calculate the set on points, and set off points, and time intervals within QRS complexes, T waves and P waves. This process will allow the analyses on the characteristics of each QRS complexes, T waves and P waves. This can be done by using Wavelet filter Coefficients, for this procedure following steps are used for filtration:- R-R interval detection QRS Complex Detection T wave and P wave detectio

Assessment of drug-drug interactions in the prescription of elderly patients on cardiovascular drugs

Background: Cardiovascular disease is one of the major causes of mortality and morbidity in a developing country like India. These patient’s prescription contains multiple drugs to reduce the mortality and morbidity and they also contain drugs for treatment of co morbidities leading to polypharmacy. The main objective of the study was to identify the pattern of drug- drug interaction (DDI) in patients on cardiovascular drugs with various co existing morbidities.Methods: This study was conducted in the Department of General Medicine of a tertiary care center. Prescription of 200 patients were analysed for demographic details like gender, age, comorbidities and drugs prescribed. DDI were assessed using Micromedex software.Results: In this study, conducted on the prescription of 200 elderly patients, 13 (66%) prescription had 408 DDI, of which 158 (39%) were major, 246 (60%) were moderate and 1 (0.02%) was contraindicated and 3 (0.007%) were minor.Conclusions: It can be concluded from the present study that the risk of DDI increases with the increase in number of drugs in the prescription and there is increase in number of drugs in the prescription with the increase in number of co morbidities. The antiplatelet and anticoagulant group of drugs were responsible for majority of DDI, followed by antihypertensives and hypoglycaemic agents. Most of these DDI could be avoided with slight modification in the dosage regimen based on the pharmacokinetics and pharmacodynamics of the drug