  This work describes a novel approach to time-multiplexed holographic
projection on binary phase devices. Unlike other time-multiplexed algorithms
where each frame is the inverse transform of independently modified target
images, Single-Transform Time-Multiplexed (STTM) hologram generation produces
multiple sub-frames from a single inverse transform. Uniformly spacing complex
rotations on the diffraction field then allows the emulation of devices
containing 2^N modulation levels on binary devices by using N sub-frames. In
comparison to One-Step Phase Retrieval (OSPR), STTM produces lower mean squared
error for up to N = 5 than the equivalent number of OSPR sub-frames with a
generation time of 1/N of the equivalent OSPR frame. A mathematical
justification of the STTM approach is presented and a hybrid approach is
introduced allowing STTM to be used in conjunction with OSPR in order to
combine performance benefits.
