A method to electronically rotate a set of two-dimensional vectors

In this paper we report a method, and we describe a circuit, performing the rotation of a set of two-dimensional (2-D) vectors; an operation useful in applications using CRT or X-Y recorders. The vector (V
θ
V
0
) is turned through an angle Θ linearly related to control voltage V
θ
following the equation:
$\theta = \pi \cdot {V_{\theta} \over V_{0}}.$
The scale factor is 18°/V and a maximum rotation of ± 180° is obtained for V
θ
= ±V
0
= ±10 V.