Casasent D, Woodford P
Appl Opt. 1994 Mar 10;33(8):1498-506. doi: 10.1364/AO.33.001498.
A high-accuracy fixed-point optical adder that operates in parallel on many long words and that uses a pipelined correlator architecture is described. A symbolic substitution algorithm with the modified signed-digit number representation is used to perform fixed-point additions with limited carries. A new set of substitution rules and encodings is developed to combine the recognition and substitution steps into one correlation operation. This reduces hardware requirements, improves throughput by reducing the space-bandwidth product needed, and reduces latency (the delay between when data enter the processor and when the final output is available) by a factor of 2. This algorithm and our new modified signed-digit encodings and substitution rules improve the performance of other correlator and noncorrelator optical numeric computing architectures.
本文描述了一种高精度定点光学加法器，它能对多个长字并行运算，并采用流水线相关器架构。使用具有修正符号数表示的符号替换算法来执行带有限制进位的定点加法。开发了一组新的替换规则和编码，将识别和替换步骤合并为一个相关操作。这降低了硬件需求，通过减少所需的空间带宽积提高了吞吐量，并将延迟（数据进入处理器到最终输出可用之间的延迟）降低了一半。该算法以及我们新的修正符号数编码和替换规则提高了其他相关器和非相关器光学数字计算架构的性能。
