4-Quadrant Arctan Function

ATAN2_XY  calculates the 4-quadrant inverse tangent in the range -π to π. It has a fully pipelined architecture and uses fixed-point mathematics throughout. Input values are accepted as 12-bit signed numbers in the range -2048 to 2047. The calculated output phase (in radians) is a 19-bit signed value with 1 sign bit, 2 integer bits and 16 fractional bits. As an example, the output phase angle 0x18000 would represent 1.5 radians and the value 0x68000 would represent the value-1.5 radians.

• Synthesizable, technology independent VHDL IP Core
• Function φ = atan2 (y,x) 
• Inputs as 12-bit signed numbers
• Output phase as a 19-bit signed
• Output range -π ≤ φ ≤ π 
• Option for scaled output phase in range -1 ≤ φ ≤ 1
• Accurate to within 0.00008 radians
• High-speed fully pipelined architecture
• Small implementation size
• 7 clock-cycle latency

• Fixed-point mathematics
• Precision phase measurements in digital communications and digital signal processing
• Digital Phase-locked Loops (PLLs)
• More accurate, smaller, lower latency and faster than a CORDIC solution of similar specification