Negabinary encoding for optical complex matrix operation

Based on negabinary number representation, complex matrix-vector multiplication is performed using an optical multichannel shadow-casting incoherent correlator. The architecture resolves the difficulties presented in the systems using other number encodings. In multiplication, bipolar data are processed without signs and extensional digits, and the mixed negabinary product can be summed directly. Through negative 2's complement operation, subtraction is converted to addition. By the decomposition of complex numbers, the complex matrix-vector operation is executed in parallel. The experiment is demonstrated, too.