MATHEMATICAL MODEL OF A CORRELATION RECEIVER WITH A PIECEWISE LINEAR APPROXIMATION OF THE DECISION FUNCTION OF THE THRESHOLD DEVICE

Разработана математическая модель двухканального корреляционного приемника радиосигналов с кусочно-линейной аппроксимацией, решающей функции порогового устройства. Приемник рассчитан на прием наиболее часто встречающихся на практике сигналов со случайной начальной фазой в условиях белого гауссовского шума. В синтезированной математической модели применяется кусочно-линейная аппроксимация решающей функции порогового устройства. Проведен сравнительный анализ характеристик обнаружения радиосигналов со случайной начальной фазой от отношения сигнал/шум, посчитанных с использованием разработанной математической модели корреляционного приемника с кусочно-линейной решающей функциeй порогового устройства. Представлены полученные в результате математического моделирования процесса функционирования корреляционного приемника при обнаружении сигналов со случайной начальной фазой в условиях шума зависимости вероятности правильного обнаружения от отношения сигнал/шум. Показано, что результаты имитационного моделирования согласуются с теоретическими расчетами. Выявлено, что представление решающих функций пороговых устройств в классической теории обнаружения сигналов в виде идеализированных (оптимальных), которые не учитывают их нелинейность, приводят либо к увеличению вероятности ложной тревоги, либо к уменьшению вероятности правильного обнаружения, что приводит к ошибкам первого рода We developed a mathematical model of a two-channel correlation receiver of radio signals with piecewise linear approximation of the decision function of the threshold device. The receiver is designed to receive the most commonly encountered signals in practice with a random initial phase in a white Gaussian noise environment. In the synthesized mathematical model, a piecewise linear approximation of the decision function of the threshold device is used. We carried out a comparative analysis of the characteristics of detecting radio signals with a random initial phase from the signal-to-noise ratio, calculated using the developed mathematical model of a correlation receiver with a piecewise linear decision function of the threshold device and known. The paper presents the dependences of the probability of correct detection on the signal-to-noise ratio obtained as a result of mathematical modeling of the process of functioning of the correlation receiver when detecting signals with a random initial phase under noise conditions. We show that the results of simulation are consistent with theoretical calculations. We found that the representation of the decision functions of threshold devices in the classical theory of signal detection in the form of idealized (optimal) ones, which do not take into account their nonlinearity, lead either to an increase in the probability of a false alarm, or to a decrease in the probability of correct detection, which leads to errors of the first kind

The accumulation of plasma acylcarnitines are associated with poor immune recovery in HIV-infected individuals

Background Antiretroviral therapy (ART) can reduce opportunistic infections and mortality rates among individuals infected with human immunodeficiency virus (HIV); however, some HIV-infected individuals exhibit poor immune recovery after ART. Hence, we explored the association between metabolome profiles and immune recovery in HIV-infected individuals following ART. Methods An untargeted metabolomics approach was used to analyze plasma samples from 18 HIV-negative individuals and 20 HIV-infected individuals, including 10 immunological non-responders (INR, CD4+ T cell rise < 100 cells/μl) and 10 immunological responders (IR, CD4+ T cell rise > 300 cells/μl) after 2 years of ART. These individuals were followed for the next 6 years and viral loads and CD4+ T cell count were measured regularly. Orthogonal projection on latent structures discriminant analysis (OPLS-DA), ANOVA, correlation, receiver operating characteristic (ROC), and survival analyses were used for selection of discriminant metabolites. Results Eighteen lipid metabolites were identified which could distinguish among control, INR, and IR groups. Among them, myristoylcarnitine (MC), palmitoylcarnitine (PC), stearoylcarnitine (SC), and oleoylcarnitine (OC) were significantly elevated in INR plasma samples compared with those from the IR and control groups and were negatively associated with CD4+ T cell count. Additionally, ROC analysis using a combination of MC, PC, SC, and OC had high sensitivity and specificity for differentiating INR from IR (AUC = 0.94). Finally, survival analysis for the combination of MC, PC, SC, and OC demonstrated that it could predict CD4+ T cell count in patients undergoing long-term ART. Conclusions High levels of lipid metabolites, MC, PC, SC, and OC are associated with poor immune recovery in patients receiving ART and these data provide potential new insights into immune recovery mechanisms.

Operation of a Discrete Communication System

In this chapter, based on definitions of signal synthesizers and analysers, a general and generic scheme of a discrete communication system is developed in order to deduce practical systems as its special cases. The synthesizer is transferred into a discrete transmitter, and the analyser is used as a correlation receiver followed by an optimum detector. The system structure is presented in terms of mathematical operators and supported by exact mathematical expressions based on the theory of discrete-time stochastic processes. The likelihood function is derived, and the maximum likelihood rule is applied to specify the decision process and construct the optimum detector. A multilevel system and a quadrature phase-shift keying system are deduced as special cases, and the bit error probability expression is derived. For the sake of continuity and completeness in presenting communication systems theory, a generic digital communication system is developed and related to its discrete counterpart.

Analysis and Performance Assessment of a Real-Time Correction Pseudo-Correlation Microwave Radiometer for Medical Applications

A new configuration of a pseudo-correlation type radiometer is proposed for a microwave biomedical application, such as diabetic foot neuropathy. The new approach as well as its simulated performance are thoroughly assessed using commercial off-the-shelf components and custom designed subsystems. We configured a pseudo-correlation receiver, centred at 3.5 GHz, to validate the proposal, comparing its simulated response with a measured alternative based on a 90∘ hybrid coupler pseudo-correlation prototype. We custom designed a balanced Wilkinson power divider and a 180∘ hybrid coupler to fulfil the receiver’s requirements. The proposed configuration demonstrated an improved noise temperature response. The main advantage is to enable the recalibration of the receiver through simultaneous measurable output signals, proportional to each input signal, as well as the correlated response between them.

Correlation estimation for digital communications based on the noise chaotic signals with time windows.

Wireless noise communication system based on the transmitted reference technique (TRT) is proposed for a covert data transmission through additive white Gaussian noise (AGWN) channel. Noise waveforms with the time windows are formed for data transmission using (3.1–4.1) GHz band-pass filters with symmetrical finite impulse response (FIR). FIR filter design includes the specification of the rectangular frequency response and the selection of appropriate window functions, which satisfy pass-band and attenuation specifications. Spread spectrum noise communications apply the time diversity between the noise reference and informative noise carriers delayed at the time interval T = 6 ns exceeding the noise coherent time τc = 1 ns. The delayed noise carriers are multiplied by antipodal binary symbols bl = ±1 at the same rate to informative data stream. The delivered noise reference is transmitted through wireless channel simultaneously with delayed noise waveforms contained informative components. Spectrum modulation of transmitted waveforms is performed by means of linear superposition between the noise reference and informative noise carriers delayed at time interval T. Spectral power density of result noise signals is modulated by antipodal harmonic functions with the period in inverse proportion to relative time delay Т. The coherent convolution of continuous noise signals is produced by the correlation receiver during every informative symbol interval. The correlation time delay in the receiver channel corresponds to the diversity time delay Т of informative noise signals. The correlation estimation problem appears in the case of data transmitting on the base of continuous noise carriers. Correlation estimations are statistical evaluated for total noise signals propagating throw AGWN channel. Intersystem jamming is excited at the output of correlation receiver even if noise informative carriers are transmitted over a wireless channel without thermal noise. Autocorrelation receiver output is randomly deviated near the average value according to informative data rate. Window method is proposed for a digital compensation of random distortions in correlation estimations. It is shown, that utilizing continuously noise signals with the time windows permits to decrease randomly fluctuations of correlation estimations.

Performance of orthogonal stochastic code signals in the presence of delayed interference

This article provides analytical expressions for performance evaluation of hybrid FH-DSSS system in delayed interference and fluctuation noise presence. Delayed interference is quite common in environment with multiple obstacles, occurring as consequence of signal reflection and multipath propagation (fig. 1). Introduction describes known methods of mitigating this interference many of whom include either use of direct sequence spreading or some variation on hybrid sequence spreading including pseudo random frequency hopping and periodical signal ensemble change. To improve on those methods considered dynamic program method for orthogonal stochastic spread spectrum code generation based on Viterby algorithm [6]. Section 1 of the paper describes FH-DSSS signal, it’s delayed interference, equation corresponding to their sum on the receiver input and noncoherent correlator response to it. By using Gaussian approximation, expressions derived for equivalent signal/noise level estimation and corresponding average probability of error at the output of the correlation receiver. By including actual signal statistic, like code length and cross-correlation value, final expressions (8)–(15) allow for accurate estimation of correlation receiver response to signal sequences with specific spread spectrum codes, as well as calculation for probability of error for M-ary spread spectrum communication system in delayed interference presence. Accuracy of the Gaussian approximation is examined in section 2 of the paper based on comparisons between analytical results and simulation modeling. Numerical results obtained, which showcase dependence of system performance on various signal characteristics, such as correlation properties, spreading code length, signal ensemble size and frequency hop delay time. Plotted graph on fig. 2 shows advantage from using M-ary orthogonal signals over binary in delayed interference presence for code sequences with length N = 32, 64, 128. Graph on fig. 3 shows gains from frequency hopping when interference delay equals to approximately half of signal information symbol. In the end performance gains from using hybrid FH-DSSS system under electronic suppression by delayed interference is also evaluated. As shown on fig. 4,a system performance significaly depend on value of delay between received signal and it’s delayed copy.

Optimization of receiving window width of the correlation receiver for radiofrequency identification marker localization

The radiofrequency identification (RFID) technology is widely used in modern industry to identify and localize the final manufactured products and their parts. This article analyses and optimizes the localization process of special RFID transponders – markers used to mark the position and type of the underground facility networks (pipes, cables, etc.). The analysis of electric circuits representing the system consisting of the marker and the localization device is performed by numerical solution of the corresponding equations. The results of the numerical solution are then used for calculation of the analytical description of the waveform received as response from the excited marker. The constants obtained from the analytical form of the solution are then used as input parameters for optimization of time window width in the correlation receiver of the marker responses. The optimization is focused on the maximization of the signal-to-noise ratio in the receiving time window. The theoretical calculations are completed by the processing of real signals recorded by an oscilloscope from the localization device where the correlation receiver is planned to apply.