Optimized CORDIC for APSK applications

A COordinate Rotation DIgital Computer (CORDIC) with a first bit-width, the CORDIC comprising:

• multiple stages of three-dimensional CORDIC cells capable of performing vector rotation, wherein at least one of the CORDIC cells comprises a reduced CORDIC cell with an xy-path and a z-path wherein:
• bit-shifts in the xy-path are hardwired;
• a z-path fixed parameter is truncated to a second bit-width that is smaller than the first bit-width;
• a z-path adder/subtractor is shortened to the second bit-width;
• the truncated fixed parameter is included in the shortened adder/subtractor;
• a number of most significant bits of a reduced CORDIC cell z-input word is coupled to non-inverting inputs of the shortened adder/subtractor, wherein the number of most significant bits equals the second bit-width;
• the shortened adder/subtractor provides a number of most significant bits of a reduced CORDIC cell output word, wherein the number of most significant bits equals the second bit-width;
• and
• a number of least significant bits of the reduced CORDIC cell output word is coupled with a number of least significant bits of the reduced CORDIC cell input word, wherein the number of least significant bits equals the first bit-width minus the second bit-width.