Calculation of mutual information for nonlinear communication channel at large signal-to-noise ratio

Using the path-integral technique we examine the mutual information for the communication channel modeled by the nonlinear Schrödinger equation with additive Gaussian noise. The nonlinear Schrödinger equation is one of the fundamental models in nonlinear physics, and it has a broad range of applications, including fiber optical communications - the backbone of the internet. At large signal-to-noise ratio we present the mutual information through the path-integral, which is convenient for the perturbative expansion in nonlinearity. In the limit of small noise and small nonlinearity we derive analytically the first nonzero nonlinear correction to the mutual information for the channel.

The visually evoked magnetic response (VEMR) to a pattern onset/offset stimulus

This study characterizes the visually evoked magnetic response (VEMR) to pattern onset/offset stimuli, using a single channel BTi magnetometer. The influence of stimulus parameters and recording protocols on the VEMR is studied with inferences drawn about the nature of cortical processing, its origins and optimal recording strategies. Fundamental characteristics are examined, such as the behaviour of successive averaged and unaveraged responses; the effects of environmental shielding; averaging; inter- and intrasubject variability and equipment specificity. The effects of varying check size, field size, contrast and refractive error on latency, amplitude and topographic distribution are also presented. Latency and amplitude trends are consistent with previous VEP findings and known anatomical properties of the visual system. Topographic results are consistent with the activity of sources organised according to the cruciform model of striate cortex. A striate origin for the VEMR is also suggested by the results to quarter, octant and annulus field stimuli. Similarities in the behaviour and origins of the sources contributing to the CIIm and CIIIm onset peaks are presented for a number of stimulus conditions. This would be consistent with differing processing event in the same, or similar neuronal populations. Focal field stimuli produce less predictable responses than full or half fields, attributable to a reduced signal to noise ratio and an increased sensitivity to variations in cortical morphology. Problems with waveform peak identification are encountered for full field stimuli that can only be resolved by the careful choice of stimulus parameters, comparisons with half field responses or with reference to the topographic distribution of each waveform peak. An anatomical study of occipital lobe morphology revealed large inter- and intrasubject variation in calcarine fissure shape and striate cortex distribution. An appreciation of such variability is important for VEMR interpretation, due to the technique's sensitivity to source depth and orientation, and it is used to explain the experimental results obtained.

Experimental comparison of coherent polarization-switched QPSK to polarization-multiplexed QPSK for 10 x 100 km WDM transmission

Polarization-switched quadrature phase-shift keying has been demonstrated experimentally at 40.5Gb/s with a coherent receiver and digital signal processing. Compared to polarization-multiplexed QPSK at the same bit rate, its back-to-back sensitivity at 10-3 bit-error-ratio shows 0.9dB improvement, and it tolerates about 1.6dB higher launch power for 10 × 100km, 50GHz-spaced WDM transmission allowing 1dB penalty in required optical-signal-to-noise ratio relative to back-to-back.

R&D and productivity:using UK firm-level data to inform policy

The UK's business R&D (BERD) to GDP ratio is low compared to other leading economies, and the ratio has declined over the 1990s. This paper uses data on 719 large UK firms to analyse the link between R&D and productivity during 1989-2000. The results indicate that UK returns to R&D are similar to returns in other leading economies and have been relatively stable over the 1990s. The analysis suggests that the low BERD to GDP ratio in the UK is unlikely to be due to direct financial or human capital constraints (as these imply finding relatively high rates of return). © Springer Science+Business Media, LLC 2009.

Screening for albuminuria in diabetes:the need to do more

Aims: To reassess the utilisation rate of urinary albumin to creatinine ratio (ACR) screening in our centre; and the rate of repeat testing, where appropriate. To look at risk factors for albuminuria in our outpatient population. Methods: All patients attending one of our two weekly diabetes outpatient clinics in 2011–2012 were enrolled in this study. Demographic and relevant clinical data were extracted from electronic care records and analysed using SPSS 21. Results: Our study cohort comprised 998 people (51.4% men;59.6% White, 30.5% Southeast Asian, 9.9% Afro-Caribbean),most of whom had Type 2 diabetes (82.6%). The ACR testing rate in our centre was 62.8% (2012–2013 data; previously 62.4%). The incidence of initial albuminuria was 32.2% in women vs42.8% in men. Just 48.7% of patients (44.4% of women, 51.8% of men) with initial albuminuria were retested: 36.4% of women and 19.7% of men with initial albuminuria had no evidence of this on follow-up. Logistic regression modelling confirmed an association of high systolic blood pressure with albuminuria [odds ratio1.92 (1.01–3.70 in women, 1.08–3.57 in men)]. Treatment with anangiotens in converting enzyme inhibitor (ACEi) or angiotens in 2 receptor blocker (A2RB) was negatively associated with albuminuria in men [odds ratio 0.42 (0.20–0.89)], but not in women. Conclusions: A relatively high, albeit suboptimal, albuminuria screening rate in our outpatient population has been sustained.High systolic blood pressure was confirmed as a risk factor foralbuminuria. The incidence of albuminuria was higher in men, who had a lower rate of negative repeat testing and appeared to benefit more from ACEi/A2RB therapy. More rigorous screening for albuminuria is warranted to identify at-risk individuals.