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Source code


Name: yac
Created: Mar 2, 2014
Updated: Mar 30, 2014
SVN Updated: Mar 30, 2014

Other project properties

Category: Arithmetic core
Language: VHDL
Development status: Alpha
Additional info: Design done , Specification done
WishBone Compliant: No
License: LGPL


CORDIC is the acronym for COordinate Rotation DIgital Computer and allows a hardware efficient calculation of various functions like - atan, sin, cos - atanh, sinh, cosh, - division, multiplication.
Hardware efficient means, that only shifting, additions and substractions in combination with table-lookup is required. This makes it suitable for a realization in digital hardware. Good introductions can be found in [1][2][3][4].
IP core block symbol (png
The following six CORDIC modes are supported:
- trigonometric rotation
- trigonometric vectoring
- linear rotation
- linear vectoring
- hyperbolic rotation
- hyperbolic vectoring

Furthermore, the CORDIC algorithm is implemented for iterative processing which means, that the IP-core is started with a set of input data and after a specific amount of clock cycles, the result is available. No parallel data can be processed.
In addition to an IP-core written in VHDL, a bit-accurate C-model is provided. This C-model can be compiled as mex for a usage with Octave or Matlab. Therefore, this C-model allows a bit-accurate analysis of the CORDIC performance on a higher level.


- C-model implementation is done
- RTL model implementation is done
- RTL model is verified against C-model

Open issues and future steps

The next steps are
- Add YAC to a FPGA based System-on-Chip to prove FPGA feasibility
- Circuit optimizations
- Numerical optimizations
and the future plans are
- Hyperbolic range extension
- Floating point CORDIC


[1] Andraka, Ray; A survey of CORDIC algorithms for FPGA based computers, 1989
[2] Hu, Yu Hen; CORDIC-Based VLSI Architectures for Digital Signal Processing, 1992
[3] CORDIC on wikibook: http://en.wikibooks.org/wiki/Digital_Circuits/CORDIC
[4] CORDIC on wikipedia: http://en.wikipedia.org/wiki/CORDIC
[5] David, Herbert; Meyr, Heinricht; CORDIC Algorithms and Architectures http://www.eecs.berkeley.edu/newton/Classes/EE290sp99/lectures/ee290aSp996_1/cordic_chap24.pdf