A New Recursive Trigonometric Technique for FPGA-Design Implementation

Xing, Xing; Wang, Wilson

doi:10.3390/s23073683

Cited by 5 publications

(2 citation statements)

References 21 publications

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“…There are various ways to implement sine/cosine and division operations in digital systems. The most common methods for computing trigonometric functions are the CORDIC algorithm [40], Taylor series expansion [41], and Look-up tables [42]. The CORDIC algorithm is known for its hardwareefficient design, which includes three shift registers and three adders, making it ideal for systems without multipliers.…”

Section: ) Transformation Matrix Subsystemmentioning

confidence: 99%

Model-Based FPGA Implementation of a 6-DoF Dynamical Model Accelerator

Memis,

Yeniceri

2024

IEEE Access

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The mathematical model of a 6-DoF dynamics is used in different applications. In general, to implement the 6-DoF dynamic model, software-based solutions are utilized. This paper introduces FPGAbased implementation of the 6-DoF dynamics accelerator. The proposed hardware-based approach ensures model accuracy in a nonlinear manner without compromising computational speed. In the design and implementation stages, the model-based approach and high-level synthesis have been employed. In terms of design strategy, standard processor architecture and resource sharing methods have been applied to achieve FPGA resource efficiency. In total, 7 datapath and a finite state machines have been designed for 7 different subsystems. The design resulted in hardware blocks that can execute all non-linear model equations 396 times in 1 ms using fixed/floating-point hybrid case, and 434 times using pure fixed-point case. The model equations, which took an average of 0.4986 s to simulate in the Simulink environment, have been run on an FPGA in 7.1924 µs. For 7 different design cases, numerical errors, resource utilization and timing metrics are tabulated and presented to the reader.INDEX TERMS 6-DoF, FPGA, Model-based design, High-level synthesis, Dynamics, Quadrotor.

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Section: ) Transformation Matrix Subsystemmentioning

confidence: 99%

Model-Based FPGA Implementation of a 6-DoF Dynamical Model Accelerator

Memis,

Yeniceri

2024

IEEE Access

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“…Finally, a set of orthogonal signals with equal amplitudes and containing only the Doppler frequency shift ∆ f is obtained. The arctangent calculation is then performed on this set (Equation ( 9)) to obtain the phase solution 2π∆ f t. In this study, the coordinate rotation digital computer (CORDIC) algorithm was selected to perform the arctangent calculations on the FPGA [20][21][22][23][24]. The CORDIC algorithm has been extensively studied and will not be explained in detail in this article.…”

Section: Dual-frequency Laser Interferometer Measurement Principle An...mentioning

confidence: 99%

Real-Time Direction Judgment System for Dual-Frequency Laser Interferometer

Zeng,

Chen,

et al. 2024

Sensors

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Current real-time direction judgment systems are inaccurate and insensitive, as well as limited by the sampling rate of analog-to-digital converters. To address this problem, we propose a dynamic real-time direction judgment system based on an integral dual-frequency laser interferometer and field-programmable gate array technology. The optoelectronic signals resulting from the introduction of a phase subdivision method based on the amplitude resolution of the laser interferometer when measuring displacement are analyzed. The proposed system integrates the optoelectronic signals to increase the accuracy of its direction judgments and ensures these direction judgments are made in real time by dynamically controlling the integration time. Several experiments were conducted to verify the performance of the proposed system. The results show that, compared with current real-time direction judgment systems, the proposed system makes accurate judgements during low-speed motions and can update directions within 0.125 cycles of the phase difference change at different speeds. Moreover, a sweep frequency experiment confirmed the system’s ability to effectively judge dynamic directions. The proposed system is capable of accurate and real-time directional judgment during low-speed movements of a table in motion.

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Dynamics analysis of a novel parametrically controllable symmetric multi-scroll chaotic system and FPGA design of an image encryption system

Guang,

Ding

2024

Chaos, Solitons & Fractals

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A New Recursive Trigonometric Technique for FPGA-Design Implementation

Cited by 5 publications

References 21 publications

Model-Based FPGA Implementation of a 6-DoF Dynamical Model Accelerator

Model-Based FPGA Implementation of a 6-DoF Dynamical Model Accelerator

Real-Time Direction Judgment System for Dual-Frequency Laser Interferometer

Dynamics analysis of a novel parametrically controllable symmetric multi-scroll chaotic system and FPGA design of an image encryption system

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