Based on the mixed negative binary number system, we propose an inner-product algorithm for digital complex-valued matrix–vector multiplication. The features are no carries, no signs, no indications for decimal points, and simple preprocessing and postprocessing. Correspondingly, an optical architecture of incoherent optical correlation with spatial digital coding of data is suggested. Negative binary complex matrix–vector multiplication can be realized optically in parallel with a high accuracy. The experimental result is also given.
© 1994 Optical Society of America
Original Manuscript: May 6, 1994
Published: November 1, 1994
Liren Liu, Guoqiang Li, and Yaozu Yin, "Optical complex matrix–vector multiplication with negative binary inner products," Opt. Lett. 19, 1759-1761 (1994)