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very complex for 3D space. At present CORDIC based Converter in 3D is not
available hence this provides a hardware efficient solution for 3D conversions.
4
Architectures for Proposed Cartesian to Spherical
Coordinate Converter
Two types of architecture are proposed for the Converter namely, Fully pipelined
architecture (FPA) and hybrid recursive pipelined architecture (HRPA). In FPA two
stages of CORDIC pipeline are used where outputs from one stage are fed to the next
stage to compute final value, whereas in HRPA, single CORDIC pipeline is used in
which one of the output is fed back to the input. Intermediate results are stored in
temporary registers till computing in pipeline gets over. Sequence of operation is
controlled by 'Enable' signal generated by a counter. The block diagrams for these
architectures are as shown in Fig.1 and Fig. 2.
Fig. 1. Fully Pipelined Architecture for Cartesian to Spherical Coordinate Converter
Fig. 2. Hybrid Recursive Pipelined architecture for Cartesian to Spherical Coordinate Converter
Input and output registers used in above design are single bit flip flop which hold
the value as per the clock signal. Input selector is a combinational logic circuit which
allows a particular set of input to pass through it depending upon the value of
'Enable'. When Enable is 0, it sends X and Y to basic CORDIC pipeline for
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