Description: cordic methods describe essentially the same algorithm that with suitably chosen inputs can be used to calculate a whole range of scientific functions including sin, cos, tan, arctan, arcsin, arccos, sinh, cosh, tanh, arctanh, log, exp, square root and even multiply and divide.
the method dates back to volder [1959], and due to its versatility and compactness, it made possible the microcoding of the hp35 pocket scientific calculator in 1972.
here is some code to illustrate the techniques. ive split the methods into three parts linear, circular and hyperbolic. in the hp35 microcode these would be unified into one function (for space reasons). because the linear mode can perform multiply and divide, you only need add/subtract and shift to complete the implementation.
you can select in the code whether to do the multiples and divides also by cordic means. other multiplies and divides are all powers of 2 (these dont count). to eliminate these too, would involve ieee hackery.-cordic methods describe essentially the same algorithm that with suitably chosen inputs can be used to calculate a whole range of scientific functions including sin, cos, tan, arctan, arcsin, arccos, sinh, cosh, tanh, arctanh, log, exp, square root and even multiply and divide.
the method dates back to volder [1959], and due to its versatility and compactness, it made possible the microcoding of the hp35 pocket scientific calculator in 1972.
here is some code to illustrate the techniques. ive split the methods into three parts linear, circular and hyperbolic. in the hp35 microcode these would be unified into one function (for space reasons). because the linear mode can perform multiply and divide, you only need add/subtract and shift to complete the implementation.
you can select in the code whether to do the multiples and divides also by cordic means. other multiplies and divides are all powers of 2 (these dont count). to eliminate these too, would involve ieee hackery.
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Author:waqas |
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Description: we propose a low-cost sequential and high performance architecture for the implementation of CORDIC algorithm in two computation modes. It suited for serial operation that performs conversion between polar and rectangular coordinate systems, essentially sin/cos, sinh/cosh and arctan computation.
In our proposed architecture, radix-2 arithmetic is employed. The design targets real time application of fingerprint recognition. We present our VHDL description of CORDIC algorithm. To reduce iteration delay, we used some combinatory blocks. Fixed point arithmetic was considered.
To valid our conception and its CORDIC accuracy, we present relative error calculated in convergence range for some trigonometric and hyperbolic functions. Our architecture was implemented and tested. The contribution of the paper includes the CORDIC design flow.
-we propose a low-cost sequential and high performance architecture for the implementation of CORDIC algorithm in two computation modes. It suited for serial operation that performs conversion between polar and rectangular coordinate systems, essentially sin/cos, sinh/cosh and arctan computation.
In our proposed architecture, radix-2 arithmetic is employed. The design targets real time application of fingerprint recognition. We present our VHDL description of CORDIC algorithm. To reduce iteration delay, we used some combinatory blocks. Fixed point arithmetic was considered.
To valid our conception and its CORDIC accuracy, we present relative error calculated in convergence range for some trigonometric and hyperbolic functions. Our architecture was implemented and tested. The contribution of the paper includes the CORDIC design flow.
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Size: 2048 |
Author:Nihel Neji |
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Search - vhdl cordic for sin and cos