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Keywords = differential demodulation

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18 pages, 3419 KB  
Article
Differentiated Embedded Pilot Assisted Automatic Modulation Classification for OTFS System: A Multi-Domain Fusion Approach
by Zhenkai Liu, Bibo Zhang, Hao Luo and Hao He
Sensors 2025, 25(14), 4393; https://doi.org/10.3390/s25144393 - 14 Jul 2025
Cited by 1 | Viewed by 708
Abstract
Orthogonal time–frequency space (OTFS) modulation has emerged as a promising technology to alleviate the effects of the Doppler shifts in high-mobility environments. As a prerequisite to demodulation and signal processing, automatic modulation classification (AMC) is essential for OTFS systems. However, a very limited [...] Read more.
Orthogonal time–frequency space (OTFS) modulation has emerged as a promising technology to alleviate the effects of the Doppler shifts in high-mobility environments. As a prerequisite to demodulation and signal processing, automatic modulation classification (AMC) is essential for OTFS systems. However, a very limited number of works have focused on this issue. In this paper, we propose a novel AMC approach for OTFS systems. We build a dual-stream convolutional neural network (CNN) model to simultaneously capture multi-domain signal features, which substantially enhances recognition accuracy. Moreover, we propose a differentiated embedded pilot structure that incorporates information about distinct modulation schemes to further improve the separability of modulation types. The results of the extensive experiments carried out show that the proposed approach can achieve high classification accuracy even under low signal-to-noise ratio (SNR) conditions and outperform the state-of-the-art baselines. Full article
(This article belongs to the Section Communications)
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17 pages, 2287 KB  
Article
A Self-Adaptive K-SVD Denoising Algorithm for Fiber Bragg Grating Spectral Signals
by Hang Gao, Xiaojia Liu, Da Qiu, Jingyi Liu, Kai Qian, Zhipeng Sun, Song Liu, Shiqiang Chen, Tingting Zhang and Yang Long
Symmetry 2025, 17(7), 991; https://doi.org/10.3390/sym17070991 - 23 Jun 2025
Viewed by 672
Abstract
In fiber Bragg grating (FBG) sensing demodulation systems, high-precision peak detection is a core requirement for demodulation algorithms. However, practical spectral signals are often susceptible to environmental noise interference, which leads to significant degradation in the accuracy of traditional demodulation methods. This study [...] Read more.
In fiber Bragg grating (FBG) sensing demodulation systems, high-precision peak detection is a core requirement for demodulation algorithms. However, practical spectral signals are often susceptible to environmental noise interference, which leads to significant degradation in the accuracy of traditional demodulation methods. This study proposes a self-adaptive K-SVD (SAK-SVD) denoising algorithm based on adaptive window parameter optimization, establishing a closed-loop iterative feedback mechanism through dual iterations between dictionary learning and parameter adjustment. This approach achieves a synergistic enhancement of noise suppression and signal fidelity. First, a dictionary learning framework based on K-SVD is constructed for initial denoising, and the peak feature region is extracted by differentiating the denoised signals. By constructing statistics on the number of sign changes, an adaptive adjustment model for the window size is established. This model dynamically tunes the window parameters in dictionary learning for iterative denoising, establishing a closed-loop architecture that integrates denoising evaluation with parameter optimization. The performance of SAK-SVD is evaluated through three experimental scenarios, demonstrating that SAK-SVD overcomes the rigid parameter limitations of traditional K-SVD in FBG spectral processing, enhances denoising performance, and thereby improves wavelength demodulation accuracy. For denoising undistorted waveforms, the optimal mean absolute error (MAE) decreases to 0.300 pm, representing a 25% reduction compared to the next-best method. For distorted waveforms, the optimal MAE drops to 3.9 pm, achieving a 63.38% reduction compared to the next-best method. This study provides both theoretical and technical support for high-precision fiber-optic sensing under complex working conditions. Crucially, the SAK-SVD framework establishes a universal, adaptive denoising paradigm for fiber Bragg grating (FBG) sensing. This paradigm has direct applicability to Raman spectroscopy, industrial ultrasound-based non-destructive testing, and biomedical signal enhancement (e.g., ECG artefact removal), thereby advancing high-precision measurement capabilities across photonics and engineering domains. Full article
(This article belongs to the Section Computer)
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31 pages, 5942 KB  
Article
Simplified Derivative-Based Carrierless PPM Using VCO and Monostable Multivibrator
by Jeerasuda Koseeyaporn, Paramote Wardkein, Ananta Sinchai, Chanapat Kaew-in and Panwit Tuwanut
Appl. Sci. 2025, 15(11), 6272; https://doi.org/10.3390/app15116272 - 3 Jun 2025
Viewed by 708
Abstract
This study proposes a derivative-based, carrierless pulse position modulation (PPM) scheme utilizing a voltage-controlled oscillator (VCO) and a monostable multivibrator. In contrast to conventional PPM systems that rely on reference carriers or complex demodulation methods, the proposed architecture simplifies signal generation by directly [...] Read more.
This study proposes a derivative-based, carrierless pulse position modulation (PPM) scheme utilizing a voltage-controlled oscillator (VCO) and a monostable multivibrator. In contrast to conventional PPM systems that rely on reference carriers or complex demodulation methods, the proposed architecture simplifies signal generation by directly modulating the time derivative of the message signal. The modulated signal, when processed through standard analog demodulators, inherently yields the derivative of the original message. This behavior is first established through theoretical derivations and then confirmed by simulations and circuit-level experiments. The proposed method includes a differentiator feeding into a VCO, followed by a monostable multivibrator to generate a carrierless PPM waveform. Experimental validation confirms that, under all tested demodulation approaches—integrator-based, PLL-based, and quasi-FM—the recovered output aligns with the differentiated message signal. The integration of this output to retrieve the original message was not performed to maintain focus on verifying the modulation principle. Additionally, the study aimed to ensure the consistency of derivative recovery. Signal-to-noise ratio (SNR) expressions for each demodulator type are presented and discussed in the context of their relevance to the proposed system. Limitations and directions for further study are also identified. Full article
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14 pages, 2899 KB  
Article
A 5 mW 28 nm CMOS Low-Noise Amplifier with Transformer-Based Electrostatic Discharge Protection for 60 GHz Applications
by Minoo Eghtesadi, Gianluca Giustolisi, Andrea Ballo, Salvatore Pennisi and Egidio Ragonese
Electronics 2024, 13(21), 4285; https://doi.org/10.3390/electronics13214285 - 31 Oct 2024
Cited by 2 | Viewed by 2560
Abstract
This paper presents a low-power 60 GHz low-noise amplifier (LNA) designed for Gbit/s applications using 28 nm CMOS technology. The LNA exploits a single-stage pseudo-differential architecture with integrated input transformer for both electrostatic discharge (ESD) protection and simultaneous noise/impedance matching. An effective power-constrained [...] Read more.
This paper presents a low-power 60 GHz low-noise amplifier (LNA) designed for Gbit/s applications using 28 nm CMOS technology. The LNA exploits a single-stage pseudo-differential architecture with integrated input transformer for both electrostatic discharge (ESD) protection and simultaneous noise/impedance matching. An effective power-constrained design strategy is adopted to pursue the lowest current consumption at the minimum noise figure (NF), with the best tradeoff between gain and frequency bandwidth. The LNA, which has been designed to drive an on–off keying (OOK) demodulator, is operated at a supply voltage as low as 0.9 V and achieves a voltage gain of about 21 dB with a 3 dB bandwidth of 2 GHz around 60 GHz. Thanks to the proper impedance transformation at the 60 GHz input, the amplifier exhibits an NF of 6.3 dB, also including the input transformer loss with a very low power consumption of about 5 mW. The adoption of a single-stage topology also allows an excellent input 1 dB compression point (IP1dB) of −4.7 dBm. The input transformer guarantees up to 2 kV human body model (HBM) ESD protection. Full article
(This article belongs to the Section Circuit and Signal Processing)
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20 pages, 3965 KB  
Article
Hyperspectral Spatial Frequency Domain Imaging Technique for Soluble Solids Content and Firmness Assessment of Pears
by Yang Yang, Xiaping Fu and Ying Zhou
Horticulturae 2024, 10(8), 853; https://doi.org/10.3390/horticulturae10080853 - 12 Aug 2024
Cited by 2 | Viewed by 1252
Abstract
High Spectral Spatial Frequency Domain Imaging (HSFDI) combines high spectral imaging and spatial frequency domain imaging techniques, offering advantages such as wide spectral range, non-contact, and differentiated imaging depth, making it well-suited for measuring the optical properties of agricultural products. The diffuse reflectance [...] Read more.
High Spectral Spatial Frequency Domain Imaging (HSFDI) combines high spectral imaging and spatial frequency domain imaging techniques, offering advantages such as wide spectral range, non-contact, and differentiated imaging depth, making it well-suited for measuring the optical properties of agricultural products. The diffuse reflectance spectra of the samples at spatial frequencies of 0 mm-1 (Rd0) and 0.2 mm-1 (Rd0) were obtained using the three-phase demodulation algorithm. The pixel-by-pixel inversion was performed to obtain the absorption coefficient (μa) spectra and the reduced scattering coefficient (μs) spectra of the pears. For predicting the SSC and firmness of the pears, these optical properties and their specific combinations were used as inputs for partial least squares regression (PLSR) modeling by combining them with the wavelength selection algorithm of competitive adaptive reweighting sampling (CARS). The results showed that μa had a stronger correlation with SSC, whereas μs exhibited a stronger correlation with firmness. Taking the plane diffuse reflectance Rd0 as the comparison object, the prediction results of SSC based on both μa and the combination of diffuse reflectance at two spatial frequencies (Rd) were superior (the best Rp2 of 0.90 and RMSEP of 0.41%). Similarly, in the prediction of firmness, the results of μs, μa×μs, and Rd1 were better than that of Rd0 (the best Rp2 of 0.80 and RMSEP of 3.25%). The findings of this research indicate that the optical properties represented by HSFDI technology and their combinations can accurately predict the internal quality of pears, providing a novel technical approach for the non-destructive internal quality evaluation of agricultural products. Full article
(This article belongs to the Section Postharvest Biology, Quality, Safety, and Technology)
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20 pages, 40920 KB  
Article
Digital Eddy Current Detection Method Based on High-Speed Sampling with STM32
by Xiong Cao, Erlong Li, Zilan Yuan and Kaituo Zheng
Micromachines 2024, 15(6), 775; https://doi.org/10.3390/mi15060775 - 11 Jun 2024
Cited by 3 | Viewed by 2358
Abstract
The electromagnetic eddy current non-destructive testing system enables the non-destructive analysis of surface defect information on tested materials. Based on the principles of eddy current detection, this paper presents a digital eddy current detection method using high-speed sampling based on STM32. A differential [...] Read more.
The electromagnetic eddy current non-destructive testing system enables the non-destructive analysis of surface defect information on tested materials. Based on the principles of eddy current detection, this paper presents a digital eddy current detection method using high-speed sampling based on STM32. A differential eddy current coil is used as the detection probe, and the combination of a differential bridge and a differential amplifier circuit helps to reduce common-mode noise interference. The detection signal is collected via an STM32-based acquisition circuit and transmitted to the host computer through Ethernet for digital demodulation processing. The host computer performs operations such as smoothing averaging, sinusoidal fitting, and outlier removal to extract the amplitude and phase of the detection signal. The system also visually displays the condition of the tested object’s surface in real time through graphical visualization. Testing showed that this system can operate at frequencies up to 8.84 MHz and clearly identify defects as narrow as 1 mm on the surface of the tested steel plate. Full article
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12 pages, 12728 KB  
Article
A Free-Space Optical Communication System Based on Bipolar Complementary Pulse Width Modulation
by Jinji Zheng, Xicai Li, Qinqin Wu and Yuanqin Wang
Sensors 2023, 23(18), 7988; https://doi.org/10.3390/s23187988 - 20 Sep 2023
Cited by 5 | Viewed by 2067
Abstract
In this work, we propose a bipolar complementary pulse width modulation strategy based on the differential signaling system, and the modulation–demodulation methods are introduced in detail. The proposed modulation–demodulation strategy can effectively identify each symbol’s start and end time so that the transmitter [...] Read more.
In this work, we propose a bipolar complementary pulse width modulation strategy based on the differential signaling system, and the modulation–demodulation methods are introduced in detail. The proposed modulation–demodulation strategy can effectively identify each symbol’s start and end time so that the transmitter and receiver can maintain correct bit synchronization. The system with differential signaling has the advantages of not requiring channel state information and reducing background radiation. To further reduce the noise in the system, a multi-bandpass spectrum noise reduction method is proposed according to the spectrum characteristics of the received modulation signals. The proposed modulation method has an error bit rate of 10−5 at a signal-to-noise ratio of 7 dB. The fabricated optical communication system can stably transfer voice and text over a distance of 5.6 km. Full article
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14 pages, 17196 KB  
Article
A Novel PMDI Fiber Optic Hydrophone Incorporating IOC-Based Phase Modulator
by Chunxi Zhang, Sufan Yang and Xiaxiao Wang
Photonics 2023, 10(8), 911; https://doi.org/10.3390/photonics10080911 - 7 Aug 2023
Cited by 1 | Viewed by 2063
Abstract
Fiber-optic hydrophone (FOH) has significant potential in many applications of hydroacoustic sensing and underwater communication. A novel path-matched differential interferometer fiber optic hydrophone (PMDI-FOH) approach incorporating an integrated-optic component (IOC) is presented in this paper. It is presented to meet the demands for [...] Read more.
Fiber-optic hydrophone (FOH) has significant potential in many applications of hydroacoustic sensing and underwater communication. A novel path-matched differential interferometer fiber optic hydrophone (PMDI-FOH) approach incorporating an integrated-optic component (IOC) is presented in this paper. It is presented to meet the demands for high-quality dynamic measurements, which solves the problems with the conventional homodyne detection system’s low modulation frequency. The IOC functions as a phase-generated carrier (PGC) component. The scheme is investigated both in theory and experiments. The theoretical and experimental results verify the effectiveness of the proposed scheme. It achieves a high SNR of up to 20.29 dB demodulations. The proposed system is cost-effective and has excellent potential in building next-generation underwater sensing and communication networks. Full article
(This article belongs to the Special Issue Advanced Photonic Sensing and Measurement)
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15 pages, 5711 KB  
Article
Wide Temperature Range and Low Temperature Drift Eddy Current Displacement Sensor Using Digital Correlation Demodulation
by Tianxiang Ma, Yuting Han, Yongsen Xu, Pengzhang Dai, Honghai Shen and Yunqing Liu
Sensors 2023, 23(10), 4895; https://doi.org/10.3390/s23104895 - 19 May 2023
Cited by 8 | Viewed by 3077
Abstract
Conventional eddy-current sensors have the advantages of being contactless and having high bandwidth and high sensitivity. They are widely used in micro-displacement measurement, micro-angle measurement, and rotational speed measurement. However, they are based on the principle of impedance measurement, so the influence of [...] Read more.
Conventional eddy-current sensors have the advantages of being contactless and having high bandwidth and high sensitivity. They are widely used in micro-displacement measurement, micro-angle measurement, and rotational speed measurement. However, they are based on the principle of impedance measurement, so the influence of temperature drift on sensor accuracy is difficult to overcome. A differential digital demodulation eddy current sensor system was designed to reduce the influence of temperature drift on the output accuracy of the eddy current sensor. The differential sensor probe was used to eliminate common-mode interference caused by temperature, and the differential analog carrier signal was digitized by a high-speed ADC. In the FPGA, the amplitude information is resolved using the double correlation demodulation method. The main sources of system errors were determined, and a test device was designed using a laser autocollimator. Tests were conducted to measure various aspects of sensor performance. Testing showed the following metrics for the differential digital demodulation eddy current sensor: nonlinearity 0.68% in the range of ±2.5 mm, resolution 760 nm, maximum bandwidth 25 kHz, and significant suppression in the temperature drift compared to analog demodulation methods. The tests show that the sensor has high precision, low temperature drift and great flexibility, and it can instead of conventional sensors in applications with large temperature variability. Full article
(This article belongs to the Topic MEMS Sensors and Resonators)
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14 pages, 2625 KB  
Article
Phase Error Evaluation via Differentiation and Cross-Multiplication Demodulation in Phase-Sensitive Optical Time-Domain Reflectometry
by Xin Lu and Peter James Thomas
Photonics 2023, 10(5), 514; https://doi.org/10.3390/photonics10050514 - 28 Apr 2023
Cited by 6 | Viewed by 2295
Abstract
Phase-sensitive optical time-domain reflectometry (φOTDR) is a technology for distributed vibration sensing, where vibration amplitudes are determined by recovering the phase of the backscattered light. Measurement noise induces phase errors, which degrades sensing performance. The phase errors, using a differentiation and [...] Read more.
Phase-sensitive optical time-domain reflectometry (φOTDR) is a technology for distributed vibration sensing, where vibration amplitudes are determined by recovering the phase of the backscattered light. Measurement noise induces phase errors, which degrades sensing performance. The phase errors, using a differentiation and cross-multiplication (DCM) algorithm, are investigated theoretically and experimentally in a φOTDR system based on a phase retrieval configuration consisting of an imbalanced Mach–Zehnder interferometer (IMZI) and a 3 × 3 coupler. Analysis shows that phase error is highly dependent on the AC component of the obtained signal, essentially being inversely proportional to the product of the power of the light backscattered from two locations. An analytical expression was derived to estimate the phase error and was confirmed by experiment. When applied to the same measurement data, the error is found to be slightly smaller than that obtained using in-phase/quadrature (I/Q) demodulation. The error, however, increases for longer measurement times. Full article
(This article belongs to the Special Issue Advances of Optical Fiber Sensors)
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14 pages, 3178 KB  
Article
Design and Analysis of a Multi−Carrier Orthogonal Double Bit Rate Differential Chaotic Shift Keying Communication System
by Tao Sui, Yongxin Feng, Bo Qian, Fang Liu, Qiang Jiang and Xiao Li
Electronics 2023, 12(8), 1785; https://doi.org/10.3390/electronics12081785 - 10 Apr 2023
Cited by 2 | Viewed by 1558
Abstract
A new multi−carrier orthogonal double bit rate differential chaotic shift keying (MC−ODBR−DCSK) communication system is presented in this paper. With two composite signals generated by an orthogonal chaotic signal generator as reference signals, 2M bits of information data are transmitted on M−channel [...] Read more.
A new multi−carrier orthogonal double bit rate differential chaotic shift keying (MC−ODBR−DCSK) communication system is presented in this paper. With two composite signals generated by an orthogonal chaotic signal generator as reference signals, 2M bits of information data are transmitted on M−channel subcarriers, improving transmission speed and energy efficiency. In addition, the receiver does not require a radio frequency (RF) delay circuit to demodulate the received data, which makes the system easier to implement. This paper analyzes Data−energy−to−Bit−energy Ratio (DBR) of the system. The bit error rate performance of the system is simulated to verify the impact of parameters such as chaotic maps, semi-spread spectrum factor, and sub-carrier number. At the same time, the bit error rate performance of the MC−ODBR−DCSK system is compared with traditional DCSK systems in Rician fading and additive Gaussian white noise (AWGN) channels. Full article
(This article belongs to the Section Microwave and Wireless Communications)
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12 pages, 3261 KB  
Article
Measurement of Waveplate Parameters over Entire Clear Aperture Based on Differential Frequency Modulation with Dual Photoelastic Modulators
by Kewu Li, Shuang Wang and Zhibin Wang
Appl. Sci. 2023, 13(7), 4496; https://doi.org/10.3390/app13074496 - 1 Apr 2023
Cited by 6 | Viewed by 2120
Abstract
To obtain highly sensitive, accurate, fast, and repeatable measurements of waveplate parameters over an entire clear aperture, a novel measurement method using dual differential frequency photoelastic modulations is proposed. Simple polarimetry is conducted based on two photoelastic modulators, which operate at different frequencies. [...] Read more.
To obtain highly sensitive, accurate, fast, and repeatable measurements of waveplate parameters over an entire clear aperture, a novel measurement method using dual differential frequency photoelastic modulations is proposed. Simple polarimetry is conducted based on two photoelastic modulators, which operate at different frequencies. The fast-axis azimuth and retardance parameters of the waveplate are loaded into the modulation signals. Employing digital phase-locked technology, the fundamental and differential frequency harmonic terms are extracted, and then the two parameters of the waveplate are demodulated. The principle is analyzed, and the measurement system is built for verification experiments. The experimental results reveal that the two parameters of the waveplate are simultaneously measured over the entire clear aperture. The standard deviations of the fast-axis azimuth and retardance are 0.02° and 0.03 nm, respectively, and the maximum relative deviations of the fast-axis azimuth and retardance are 0.6% and 0.06%, respectively. The single-point data measurement time is only 200 ms. The proposed method exhibits high precision and speed, and provides an effective quality inspection and calibration method for waveplates. Full article
(This article belongs to the Section Optics and Lasers)
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25 pages, 6500 KB  
Article
Using Phase-Sensitive Optical Time Domain Reflectometers to Develop an Alignment-Free End-to-End Multitarget Recognition Model
by Nachuan Yang, Yongjun Zhao, Fuqiang Wang and Jinyang Chen
Electronics 2023, 12(7), 1617; https://doi.org/10.3390/electronics12071617 - 29 Mar 2023
Cited by 6 | Viewed by 2804
Abstract
This pattern recognition method can effectively identify vibration signals collected by a phase-sensitive optical time-domain reflectometer (Φ-OTDR) and improve the accuracy of alarms. An alignment-free end-to-end multi-vibration event detection method based on Φ-OTDR is proposed, effectively detecting different vibration events in different frequency [...] Read more.
This pattern recognition method can effectively identify vibration signals collected by a phase-sensitive optical time-domain reflectometer (Φ-OTDR) and improve the accuracy of alarms. An alignment-free end-to-end multi-vibration event detection method based on Φ-OTDR is proposed, effectively detecting different vibration events in different frequency bands. The pulse accumulation and pulse cancellers determine the location of vibration events. The local differential detection method demodulates the vibration event time-domain variation signals. After the extraction of the signal time-frequency features by sliding window, the convolution neural network (CNN) further extracts the signal features. It analyzes the temporal relationship of each group of signal features using a bidirectional long short-term memory network (Bi-LSTM). Finally, the connectionist temporal classification (CTC) is used to label the unsegmented sequence data to achieve single detection of multiple vibration targets. Experiments show that using this method to process the collected 8563 data, containing 5 different frequency bands of multi-vibration acoustic sensing signal, the system F1 score is 99.49% with a single detection time of 2.2 ms. The highest frequency response is 1 kHz. It is available to quickly and efficiently identify multiple vibration signals when a single demodulated acoustic sensing signal contains multiple vibration events. Full article
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13 pages, 4094 KB  
Article
Methane, Ethylene, and Ethane Detection by Differential Helmholtz Resonance Spectroscopy Using a 3345 nm Mid-Infrared Tunable Diode Laser Source
by Zhe Wu, Yunxing Shi and Yuwang Han
Appl. Sci. 2023, 13(5), 3169; https://doi.org/10.3390/app13053169 - 1 Mar 2023
Cited by 4 | Viewed by 3158
Abstract
Gas detection based on photoacoustic spectroscopy (PAS) has attracted extensive attention due to its high sensitivity and large range of linearity. Herein, to achieve the simultaneous detection of the light carbon gases (CH4, C2H4, and C2 [...] Read more.
Gas detection based on photoacoustic spectroscopy (PAS) has attracted extensive attention due to its high sensitivity and large range of linearity. Herein, to achieve the simultaneous detection of the light carbon gases (CH4, C2H4, and C2H6), a gas detection system was constructed using a single mid-infrared tunable diode laser (central wavelength 3345 nm) source based on differential Helmholtz resonance spectroscopy (DHRS). The detection parameters (driving current, modulation depth, phase angle, etc.) were optimized under ambient pressure using the 1f demodulation method. With an integration time of 2 s, the detection limit reached 98.8 ppb, 252 ppb, and 33 ppb for methane, ethylene, and ethane, respectively. The validation test of the three-component mixture shows that the cross-interference can be effectively reduced by multiwavelength linear regression, and single wavelength linear regression causes large errors in the quantification of methane and ethylene. Full article
(This article belongs to the Section Optics and Lasers)
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15 pages, 6016 KB  
Article
Phase Alignment of an Array Optical Telescope System Using Balanced Detection
by Yang Li, Qiang Wang, Yongmei Huang and Rongqi Ma
Micromachines 2023, 14(2), 409; https://doi.org/10.3390/mi14020409 - 9 Feb 2023
Cited by 1 | Viewed by 2467
Abstract
Differential phase shift keying (DPSK) modulation and multi-aperture receiving are effective means for suppressing flickering, deviation, and fragmentation of the light spot by atmospheric turbulence. What is challenging in coherent beam combination of such an array receiver system is to detect and compensate [...] Read more.
Differential phase shift keying (DPSK) modulation and multi-aperture receiving are effective means for suppressing flickering, deviation, and fragmentation of the light spot by atmospheric turbulence. What is challenging in coherent beam combination of such an array receiver system is to detect and compensate for phase deviation of sub-apertures. In this paper, a method of phase alignment of an array optical telescope system using balanced detection was proposed and demonstrated. The improved Mach Zehnder Interferometer (MZI) can demodulate the digital signal and recover the phase difference at the same time. It also brings a 3 dB gain to the receiver and improves the detection sensitivity of the system. Adequate simulations with OptiSystem and MATLAB were carried out to show that the power value remains near the ideal state of 2.75 mW, and the bit error rate is less than 10−9 after phase compensation, which indicates the effectiveness and accuracy of the proposed method. Furthermore, taking the communication interruption difference of ninety degrees as an example, the system bit error rate was reduced from 1 to 10−35, and communication was established again. Full article
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