Abstract
In digital signal and image processing, it's very common to calculate the value of certain transcendental functions, such as natural logarithmic function. This study introduces the basic principles of the mode of calculation of the hyperbolic systems by using the CORDIC algorithm, then analyses the Field-Programmable Gate Array (FPGA) CORDIC core processing unit in detail. The biggest advantage of the CORDIC algorithm is that its circuit structure is very simple, using only adder and shifter. It is very suitable for FPGA implementation. Based on the iterative algorithm, a FPGA implementation of the natural logarithmic function has been designed. The pipelined- FPGA architecture can achieve a high computational speed, for completing a computation only requires one clock cycle. The relative error values are below 10 -4 , which can satisfy the accuracy requirements.
Highlights
The natural logarithmic function is widely used in image processing and digital signal processing
Pipelined-CORDIC: In practical applications, the natural logarithmic function calculator should be based on the needs of the target in between running speed and resource consumption
The relative error values are below 10-4, which can satisfy the accuracy requirements
Summary
The natural logarithmic function is widely used in image processing and digital signal processing. To calculate the value of the natural logarithm, it should be the operating mode of the vector model in the hyperbolic system. Iterative rotations: The function x2 - y2 = 1 is a flat hyperbolic function, its parametric form is (1):
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More From: Research Journal of Applied Sciences, Engineering and Technology
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