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This paper presents a time-interleaved analog-to-digital converter mismatch calibration, which can be adapted to any interleaving factor and calibrate offset, gain, time skew and bandwidth mismatches. Moreover, the proposed scheme utilizes a non-return-to-zero pilot signal, avoiding the high-resolution requirements of sinusoidal generators. In addition, there are no multiplications in the detection path in contrast with the state-of-the-art approaches. Consequently, the proposed calibration presents the smallest complexity in terms of hardware requirements compared to previous work (to the author's knowledge). Therefore, the proposed calibration can be made with the smallest area and power consumption. Numerical simulations show an SNDR improvement of 49.52 dB for a 12-bit 4-channel TI-ADC and an SNDR improvement of 29.64 dB for an 8-bit 32-channel TI-ADC when random mismatches are applied. The measurement results show an SNDR improvement of 24.68 dB for a 3.6 GS/s 2-channel TI-ADC experimental board.

This letter highlights the importance of channel prediction during channel estimation (CE) in an energy efficient wireless communication system. Specifically, an energy beamforming-assisted multi-antenna system is considered in which energy receiver sends pilot signal to energy transmitter for CE. A long-short term memory based neural network is then utilized for predicting channel characteristics with respect to past CEs. Performance of learning strategy is evaluated, and efficacy of proposed approach is verified by varying number of estimations against predictions and observing maximum energy harvested at receiving antenna. Proposed scheme is also compared and found to outperform two existing benchmarks.

This article focuses on a two-hop relay system, where a potential malicious single-antenna relay may forward altered symbols to a base station (BS) equipped with massive antennas, while the BS also receives signals from direct channel between itself and the source. The main challenge is that the malicious relay may not only alter symbols, but also transmit misleading pilot symbols to impair the channel estimation at the BS. With this regard, we investigate attack detection without reliable channel estimation. During each channel coherence interval, the BS receives pilot signal, namely, reference vector (RV), and immediately examines reliability of the RV by utilizing its massive antennas. If it is reliable, the received information signals, namely, information vectors, will be projected into the RV. The projection gives compressed signal with one dimension. After ${n}$ intervals, the BS could obtain an ${n}$ -length sequence of compressed signals across ${n}$ different channel coherence intervals and an ${n}$ -length sequence of direct signals from the direct channel. We prove that arbitrary attacks are detectable by comparing empirical distribution of these two sequences with its a priori stochastic distribution. Furthermore, simulation confirms that our proposed schemes outperform other existing attack detection methods.

The IEEE 802.11ad based joint communication and radar sensing (JCRS) has attracted great attention for vehicles in recent years. Existing studies all assume full-duplex radio for radar receivers based on perfect self-interference cancellation. However, the self-interference may not be fully cancelled in practice. In this paper, imperfect self-interference cancellation is considered. To combat the strong self-interference, a novel JCRS is developed based on IEEE 802.11ad orthogonal frequency division multiplex physical-layer (OFDM PHY) for multi-target sensing. More specifically, the received radar signal is designed to be synchronized with self-interference, and two radar sensing functions are developed for short-range sensing and long-range sensing separately. The synchronization with self-interference resolves the difficulty in self-interference calibration in short-range sensing and prevents the inter-subcarrier-interference (ICI) from self-interference in long-range sensing. The Golay sequences in the preamble are leveraged to combat self-interference for short-range sensing, thanks to the relatively strong reflection signal. For long-range sensing, the pilot signal and a few self-interference-free OFDM symbols at the end of the data frame are leveraged to combat self-interference. Particularly, a novel pilot signal design that can achieve subcarrier-wise pulse radar is first developed for accurate velocity and coarse range estimation, and then the self-interference-free OFDM symbols are utilized to achieve accurate range estimation. In addition, the inter-symbol-interference (ISI) of the reflection signal is coherently aggregated for enhancing radar sensing in long-range case. A strategy of frame transmissions is finally developed to integrate these two functions while balancing the performance between communications and sensing. Simulation results show that cm/s level velocity estimation and cm level range estimation can be achieved for up to 200-meter radar sensing.

Mestrado de dupla diplomação com a Université Libre de Tunis Electric vehicles have been gaining more and more acceptance in recent years. With the development of battery technology, the range on a single charge has evolved to values that make them credible options in a market still dominated by combustion vehicles. An important issue for electric vehicles is the charging system, currently even in fast charging they still have high times, but when it is possible to charge slowly at home, this process not only becomes comfortable but also more economical. This thesis report presents a system for charging electric vehicles at home. The system presents the basic functionalities for charging electric vehicles. It forms the basis for future integration into an energy management system that, without user intervention, can maximize the use of energy produced in the house itself, through photovoltaic solar panels. Les véhicules électriques sont de plus en plus acceptés ces dernières années. Avec le développement de la technologie des batteries, l’autonomie sur une seule charge a évolué vers des valeurs qui en font des options crédibles sur un marché encore dominé par les véhicules thermiques. Un problème important pour les véhicules électriques est le système de charge, actuellement même en charge rapide, ils ont encore des temps élevés, mais lorsqu’il est possible de charger lentement à la maison, ce processus devient non seulement confortable mais aussi plus économique. Ce rapport de thèse présente un système de recharge de véhicules électriques à domicile. Le système présente les fonctionnalités de base pour la recharge des véhicules électriques. Il constitue la base d’une intégration future dans un système de gestion de l’énergie qui, sans intervention de l’utilisateur, peut maximiser l’utilisation de l’énergie produite dans la maison elle-même, grâce à des panneaux solaires photovoltaïques.

Phase-coherent measurements of the pilot tone from a digital television (DTV) station were taken by a 24-element vertical array 168 km from the transmitter. Measurements were recorded over 15 days in Southern California, a region known for ducting events in which abnormal atmospheric refractivity patterns allow for the exceptionally long-range propagation of electromagnetic (EM) waves. The DTV station was positioned over the horizon (OTH) relative to the receiver array such that the line of sight was obstructed; thus, significant diffraction loss was expected. Direction-of-arrival (DOA) estimation was performed on the measurements. The measurement campaign objective was to collect the first long-term data set of DOA and the array-signal-to-noise ratio (ASNR) from signals propagating OTH through a refractive channel, toward the goal of enhancing the fidelity of atmospheric refractivity estimates. The analysis of the collected data shows that ASNR is correlated with atmospheric parameters related to refractivity.

In free-space optical communications that use both amplitude and phase data modulation (for example, in quadrature amplitude modulation (QAM)), the data are typically recovered by mixing a Gaussian local oscillator with a received Gaussian data beam. However, atmospheric turbulence can induce power coupling from the transmitted Gaussian mode to higher-order modes, resulting in a significantly degraded mixing efficiency and system performance. Here, we use a pilot-assisted self-coherent detection approach to overcome this problem. Specifically, we transmit both a Gaussian data beam and a frequency-offset Gaussian pilot tone beam such that both beams experience similar turbulence and modal coupling. Subsequently, a photodetector mixes all corresponding pairs of the beams’ modes. During mixing, a conjugate of the turbulence-induced modal coupling is generated and compensates the modal coupling experienced by the data, and thus the corresponding modes of the pilot and data mix efficiently. We demonstrate a 12 Gbit s−1 16-QAM polarization-multiplexed free-space optical link that is resistant to turbulence. A transmission scheme for free-space optical communications is shown to be highly robust against turbulence.

This paper considers the secure transmission in a cell-free massive MIMO system with imperfect radio frequency (RF) chains and low-resolution analog-to-digital converters (ADCs) and digital-to-analog converters (DACs) at both access points (APs) and legitimate users, where an active eavesdropper attempts to wiretap the confidential data. The Gaussian RF impairment model (GRFIM) and additive quantization noise model (AQNM) are used to evaluate the impacts of the RF impairments and low resolution ADCs/DACs, respectively. The analytical results of the linear minimum mean square error (MMSE) channel estimation show that there is nonzero floor on the estimation error with respect to the RF impairments, ADC/DAC precision and the pilot power of the eavesdropper which is different from the conventional case with perfect transceiver. Then, a tractable closed-form expression for the ergodic secrecy rate is obtained with respect to key system parameters, such as the antenna number per AP, the AP number, user number, quality factors of the ADC/DAC and the RF chain, pilot signal power of the eavesdropper, etc. Moreover, a compensation algorithm between the imperfect RF components and the inexpensive coarse ADCs/DACs is also presented. Finally, numerical results are provided to illustrate the efficiency of the achieved expressions and the devised algorithm, and show the effects of RF impairments and low resolution ADC/DAC on the secrecy performance.

In this letter, we study efficient channel estimation for an intelligent reflecting surface (IRS)-assisted orthogonal frequency division multiplexing (OFDM) system to achieve minimum training time. First, a fast channel estimation scheme with reduced OFDM symbol duration is proposed for arbitrary frequency-selective fading channels. Next, under the typical condition that the IRS-user channel is line-of-sight (LoS) dominant, another fast channel estimation scheme based on the novel concept of sampling-wise IRS reflection variation is proposed. Moreover, the pilot signal and IRS training reflection pattern are jointly optimized for both proposed schemes. Finally, the proposed schemes are compared in terms of training time and channel estimation performance via simulations, as well as against benchmark schemes., Comment: 5 pages, 4 figures

The benefit of Brillouin amplification for optical carrier recovery from pilot tones is evaluated in application to coherent signal detection without a conventional local oscillator (LO) laser. The focus being on the narrow gain bandwidth suppressing broadband spectral noise power relative to the pilot tone. Calculations indicate its use at the receiver with realistic 30 dB gain and 30 MHz gain bandwidth permit lowering the minimum pilot tone to signal power ratio (PSR) for low distortion signal demodulation by up to a24 dB in the case of a 10 GHz wide signal channel, and even larger for broader channels. The ultimate limit being its ratio to the narrowness of the Brillouin gain bandwidth. Low noise Brillouin gain is also accounted for from characterization by a coherent receiver and digital signal processing approach for an optical fiber used as the gain medium in experiments. Its use in optical carrier recovery from a 3 channel WDM 48 Gb/s 64-QAM signal with polarization multiplexed pilot tones demonstrates improvement consistent with predictions in reducing the impact of pilot tone noise to near that for a conventional LO. The estimated low PSR limit for a bit error rate below the hard decision FEC limit was extrapolated as a−38 dB. This rose to a−30 dB with inclusion of 80 km link transmission due to the restricted signal launch power for avoiding nonlinear distortion. The insight highlights the wide-ranging capabilities for enhancing performance in advanced coherent communications.

Required throughput for a fronthaul in a cloud-radio access network tremendously increases and becomes a bottleneck in a communication network with wide bandwidth and a large number of antennas. To reduce the fronthaul capacity requirement, more digital function blocks are shifted from a central unit to a distributed unit. In this study, we consider separated delivery of data and pilot signals with different compression rates under time-varying channels to reduce fronthaul burden. By analyzing channel prediction error based on a Kalman filter, an achievable rate for uplink data is derived. The fronthaul rates for data and pilots are derived using rate-distortion theory. Both uplink rate maximization and fronthaul rate minimization are simultaneously designed by considering the data and pilot signal distortions as well as the frame structure. First, the optimization of signal distortion with a fixed pilot interval is investigated. Next, a sub-optimal algorithm to find the pilot interval with the fixed signal distortion is developed. Finally, an iterative algorithm to obtain the sub-optimal solution, which is the joint solution of signal distortion and pilot interval, is proposed. The numerical results demonstrate that the proposed algorithm can provide convergent solutions.

The secret key rate of a continuous-variable quantum key distribution (CV-QKD) system is limited by excess noise. A key issue typical to all modern CV-QKD systems implemented with a reference or pilot signal and an independent local oscillator is controlling the excess noise generated from the frequency and phase noise accrued by the transmitter and receiver. Therefore accurate phase estimation and compensation, so-called carrier recovery, is a critical subsystem of CV-QKD. Here, we explore the implementation of a machine learning framework based on Bayesian inference, namely an unscented Kalman filter (UKF), for estimation of phase noise and compare it to a standard reference method. Experimental results obtained over a 20 km fibre-optic link indicate that the UKF can ensure very low excess noise even at low pilot powers. The measurements exhibited low variance and high stability in excess noise over a wide range of pilot signal to noise ratios. This may enable CV-QKD systems with low implementation complexity which can seamlessly work on diverse transmission lines., Comment: 7 pages, 10 figures

In the indoor environment, where global positioning system (GPS) fails, the presence of multipath, non-line-of-sight (NLOS), and dense scatterer yields unreliable position estimation. In the massive multiple-input multiple-output (massive MIMO) system, the sparse channel property is exploited here for user localization as an integral part of the network to reduce the power of user equipment (UE). In this study, a novel spatial spectrum fusion estimation and localization (SSFEAL) algorithm using the uniform circular array (UCA) structure is proposed, which is based on the 2-D direction of arrival (DOA) estimation. The spatial spectrum of the incoherent narrowband uplink pilot signal on each frequency bin received at the distributed massive MIMO base stations (BSs) is used for spectrum fusion. The main contributions of this work are as follows: 1) the channel’s sparse characteristics at individual BSs are used to synthesize the covariance matrix of the received signal at the central fusion center and 2) the proposed method has 2-D spatial information measurement fusion to generate informative spatial spectrum followed by grid refinement processing to reduce the localization error to submeter level. It is demonstrated that the proposed method using UCA gives higher resolution estimation performance compared with the rectangular array in the localization accuracy. Comprehensive Monte Carlo simulation and real application test results show the validity and submeter precision in the indoor environment.

In this paper, we propose a multi-user symbol detection in cooperative-non-orthogonal multiple access (C-NOMA) schemes via deep learning (DL). We use a DL-based detection (DLDet) in both users instead of conventional detectors. Therefore, an iterative detector (i.e., successive interference canceler (SIC)) at the near user (UE1) and a combining plus optimum detector (i.e., maximum ratio combining (MRC) and maximum-likelihood (ML) detector) at the far user (UE2) are not required anymore. The proposed DLDet can detect symbols at the both users simultaneously. Besides, the DLDet does not require an additional channel estimation algorithm to acquire the channel state information (CSI) at the receivers. The multi-user symbol detection is performed based on the received pilot responses simultaneously, thus calling semi-blind. We train the proposed DLDet offline over Rayleigh fading channel and then, we use the offline-trained DLDet as an online detection algorithm. We compare the error performance of the DLDet with two benchmarks: conventional C-NOMA and threshold-based selective C-NOMA (TBS-C-NOMA). With the extensive simulations over Rayleigh fading channels, we reveal that the DLDet outperforms both C-NOMA and TBS-C-NOMA and achieves the full diversity order (i.e., 2). Besides, this performance gain is up to ~10 dB and ~3-7 dB in C-NOMA and TBS-C-NOMA, respectively, which is very promising for the energy-limited networks. Moreover, in order to improve the error performance of the C-NOMA, the TBS-C-NOMA introduces two disadvantages, which are a signaling overhead to obtain the optimum threshold value and a capacity performance decay due the silence of the relay when the threshold is not satisfied. To this end, without using a threshold, outperforming TBS-C-NOMA is essential to revoke these disadvantages. The DLDet accomplish this; hence, the power of the DLDet is unveiled in coping with the error propagation. Then, to reveal the robustness of the DLDet against different fading conditions, we use the offline-trained DLDet as an online detector over different fading channels (i.e., Nakagami- $m$ and Rician). We show that the DLDet outperforms conventional detectors over those fading channels and again outperforms the conventional C-NOMA and TBS-C-NOMA performances, although it is trained over Rayleigh fading channel. Indeed, the DLDet has better performance than the C-NOMA and TBS-C-NOMA even though they are assumed to have perfect CSI whereas the DLDet uses only a single pilot signal. The DLDet again provides the full diversity order (i.e., $2m$ for Nakagami- $m$ and 2 for Rician). This proves the robustness of the DLDet and shows that the DLDet performs well regardless of the fading conditions once it is trained for any fading channel.

A semi-active wavelength division multiplexing (WDM) system based on pilot-tone relay detection is proposed and experimentally demonstrated for 5G centralized front-haul network, which is composed of a passive WDM multiplexer at active antenna unit (AAU) side, an active WDM equipment at distributed unit (DU) side, and several WDM optical modules in AAU and DU, respectively. In this semi-active WDM scheme, WDM technology is applied as an optical transport layer to save fibers and the semi-active architecture based on pilot-tone modulation is capable of flexible deployment with lite operation, administration and maintenance (OAM) functions. The experimental results show that the sensitivity penalty is lower than 0.3 dB and the extinction ratio is still higher than 4.2 dB by using 4 % amplitude depth of pilot-tone modulation. The bit rate of the OAM signal is 1024 bps to reuse the existing micro-controller unit in the optical modules for generating and detecting OAM signals. The robustness of the pilot-tone signals is further demonstrated as the sensitivities of the 25-Gbps eCPRI signals and the 1024-bps OAM signals are −16 dBm and −23 dBm, respectively. Compared with the OAM demodulation both in upstream and downstream direction for the active WDM equipment, the number of OAM demodulation unit can be reduced by 50% and the sensitivity requirement of OAM demodulation can be improved by 11.5 dB by using only downstream OAM demodulation unit. Error-free 24-hour transmission of real-time 12-channel 25-Gbps eCPRI signals combined with 1024-bps pilot-tone OAM signals over 10-km single mode fiber is obtained.

In this paper, we investigate the random access (RA) problem in a massive MIMO scenario. To deal with the continuous increase in the number of users, and the difficulty associated with sharing pilots among such users in order to organize channel access, a strongest-user collision resolution (SUCRe) protocol is modified to include a non-orthogonal multiple access (NOMA) approach. The proposed NOMA-RA protocol allows to resolve collisions between users who try to access the medium using the same pilot signal. Numerical results show that the proposed NOMA-RA strategy achieves a better performance in terms of sum-rate with lower average delay in comparison with the traditional SUCRe scheme, even considering imperfect channel estimation and successive interference cancellation. For instance, in a scenario when 10 pilot sequences are available and 20 devices compete to access the channel, comparing with the SUCRe protocol, the average delay is reduced by 30% while the sum-rate is improved by 33% and 22% considering, respectively, perfect and imperfect SIC decoders. In addition, the percentage of users that fail to access the BS in this situation drops from 66.5% with SUCRe to 38.5% with the proposed NOMA-RA scheme.

The Doppler effect in 2×2, 3×3, and 4×4 MIMO wireless communication systems with channel state estimation is studied. The orthogonal pilot signal approach is used for the channel estimation, where the Hadamard sequences are used for piloting along with the eight Romanuke orthogonal sets similar to the Walsh set. The Doppler effect is additionally aggravated by the pilot signal de-orthogonalization, where two negative-to-positive symbol errors are assumed to have occurred while signal is transmitted. MIMO transmissions are simulated for 10 cases of the frame length and pilot symbols per frame by no Doppler shift to 1100 Hz Doppler shift with a step of 100 Hz. By assuming that the carrier frequency is 5,9 GHz, the step corresponds to a motion speed of about 18.3 km/hr. Based on the simulations, it is ascertained that the Doppler effect negatively influences transmissions of long data packets. It is impracticable to apply MIMO transmissions of long packets at speeds exceeding 100 km/hr. To maintain an appropriate MIMO link data rate, the packet length should be shortened as the motion speed increases. On the other hand, the MIMO performance is substantially improved by increasing the number of antennas, except for the case of transmitting long packets. Besides, under the de-orthogonalization caused by two negative-to-positive symbol errors, the MIMO Walsh pilot sequences are outperformed by MIMO Romanuke pilot sequences, so the latter are considered as an improvement of MIMO orthogonal sequences. However, the performance difference between the Romanuke and Walsh pilot sequences decays as a greater number of transmit-receive antenna pairs is used and the motion speed increases.

For efficient implementation of 5G base stations, cloud-radio access network (C-RAN), where distributed units (DUs) are connected to a central unit (CU) through a fronthaul, has been considered. To support 5G with a wide bandwidth and large number of antennas, the fronthaul capacity becomes one of the limitations. To mitigate this problem, moving more blocks from the CU to the DU has been considered. One of the split options for the uplink is to deliver data and pilot symbols separately from a DU to a CU. For more efficiency in the fronthaul, the compression of data and pilot symbols has been adopted. As an objective of optimization, both the maximization of the uplink user rate and minimization of the fronthaul rate are considered. The optimization of the transmit powers and distortion variances of data and pilot symbols is considered. The closed-form expressions of the optimal variances of the data and pilot signal distortions with fixed data and pilot power are derived. Additionally, the optimal power allocation between the data and pilot signals are obtained when the data and pilot distortion variances caused by compression are fixed. Using an alternating optimization, the convergent solutions to the joint optimization problem can be obtained.

A coded pilot assisted high data rate millimeter-wave receiver topology is presented in this article. A low data rate and low power pseudorandom noise (pn) coded pilot signal is superimposed at the transmitter, and the receiver can use such pilot for carrier recovery (CR) and/or channel estimation regardless of modulation scheme or communication data rate. The proposed baseband receiver has an analog–digital hybrid structure where a low-cost digital signal processor is used. This structure requires only a low-cost analog-to-digital converter (ADC) with a sampling rate of 40 MSPS. A proof-of-concept communication link at $E$ -band is demonstrated with 18 Gbps 64-quadrature amplitude modulation (QAM) and 24 Gbps 16-QAM.

Satellite communication systems that use phase modulation of a signal designed to transmit useful in formation in a continuous mode face the problem of frequency uncertainty of the signal when used as intended. For demodulators of satellite modems of such systems operating with a continuous input signal, the most significant is the problem of synchronization in the frequency of carrier oscillations in the conditions of frequency uncertainty of the signal. This synchronization task is actually reduced to estimating the true parameters of the signal, namely the estimation of the carrier frequency. The complexity of the task of estimating the carrier frequency in a satellite channel with phase modulation is exacerbated by the presence of additional interfering actions of "neighboring channels" - signals with the same type of modulation and the same data rate. The paper specifies the algorithm for estimating the carrier frequency of the signal receiv ed by the satellite communication system in a continuous mode, taking into account the influence of "neighboring channels" of information transmission. This algorithm allows to estimate the carrier frequency according to the rule of maximum likelihood, tak ing into account the condition of uncertainty of all parameters of the signal received by the satellite communication system in continuous mode, taking into account the in fluence of "neighboring channels" of information with a minimum observation interval. It includes the steps of: calculating the readings of the amplitude spectrum of the received signal and counting the convolution of the obtained amplitude spe ctrum with frequency response UV; calculating the count of the derivative convolution and finding the initial estimate of the frequency; based on the obtained evaluation of the evaluation procedure based on the multiplication of the phase of the received signal and the calculation of the estimated carrier frequency of the received signal.In order to assess the effectiveness of this algorithm in the comparison of the effectiveness of the estimates provided by the proposed procedure and the estimates made on the basis of subtraction of the global maximum convolution of the amplitude spectrum of the received signal. The results of this assessment presented in the paper showed that the dependences of the normalized variance on practically do not differ. That confirms the efficiency an d feasibility and practical value of the algorithm for estimating the carrier frequency given in the work, taking into account the influence of "neighboring channels" of useful signal transmission. A promising area for fu rther study of the issues raised in the work is the adaptation of this algorithm to the carrier frequency estimation in combined phase synchronization systems that have the ability to increase the order of astatism, monitoring the carrier frequency (pilot signal), the phase of which is modulated by a d eterministic Doppler signal. Супутникові системи зв’язку, які використовують фазову модуляцію сигналу, що призначений для передачі корисної інформації в безперервному режимі, при застосуванні за призначенням стикаються з проблемою частотної невизначеності сигналу. Для демодуляторів супутникових модемів таких систем, що працюють з безперервним вхідним сигналом, найбільш значущою є проблема синхронізації по частоті несучого коливання в умовах частотної невизначеності сигналу. Вказане завдання синхронізації фактично зводиться до оцінки істинних параметрів сигналу, а саме оцінки несучої частоти. Складність завдання оцінки несучої частоти в супутниковому каналі з фазовою модуляцією усугубляється наявністю додаткових заважаючих дій «сусідніх каналів» –сигналів з тим же самим типом модуляції і тією ж швидкістю передачі інформації. В роботі уточнено алгоритм оцінки несучої частоти сигналу, що приймається супутниковою системою зв’язку в безперервному режимі з урахуванням впливу «сусідніх каналів» передачі інформації. Вказаний алгоритм дає змогу здійснити оцінку несучої частоти по правилу максимальної правдоподібності з врахуванням умови невизначеності всіх параметрів сигналу, що приймається супутниковою системою зв’язку в безперервному режимі з урахуванням впливу «сусідніх каналів» передачі інформації при мінімальному інтервалі спостереження. Він включає етапи: обчислення відліку амплітудного спектру сигналу, що приймається і відліку згортки отриманого амплітудного спектру з АЧХ УФ; обчислення відліку похідної згортки і знаходження первинної оцінки частоти; на основі отриманої оцінки проведення процедури оцінки, основаної на помноженні фазі сигналу, що приймається і обчислення оцінки несучої частоти сигналу, що приймається. З метою оцінки ефективності вказаного алгоритму в роботі проведено порівняння ефективності оцінок, забезпечених запропонованою процедурою і оцінок, здійснених на основі одрахування глобального максимуму згортки амплітудного спектру сигналу, що приймається. Подані в роботі результати вказаної оцінки показали, залежності нормованої дисперсії від практично не відрізняються. Що підтверджує ефективність та реалізуємість та практичну цінність поданого в роботі алгоритму оцінки несучої частоти з урахуванням впливу «сусідніх каналів» передачі корисного сигналу. Перспективним напрямком подальшого дослідження порушених в роботі питань є адаптація вказаного алгоритму до оцінки несучої частоти в комбінованих систем фазової синхронізації, що мають можливість до підвищення порядку астатизму, при стеженні за несучою частотою (пілот - сигналом), фаза якої модульована детермінованим допплерівським сигналом.