An One-Dimension (1D) Cellular Automaton (CA) is studied as a generator for the radix-2 sequence, presenting suitable characteristics for the design of a fast and constant delay synchronous digital counter. The main contribution of this work is the proposal of a new type of synchronous digital counters including a CA-based prescaler and consecutive counting modules of various configurations (in terms of bitlength, speed and area requirements) to result in a modular and systolic counting structure with the minimum redundant hardware and low-power operation. It is the first time that a thorough exploration of the 1D CA rule 102 is offered and considered as the prescaler of a systolic counter of heterogeneous modules in size, achieving the desired constant delay characteristic with low area/power penalty. The proposed counter, compared to hard Intellectual Property (IP) cores, presents up to 90% enhancement of speed for 9.37%–33.0% area penalty for reconfigurable technologies.

研究了一维 (1D) 元胞自动机 (CA) 作为基数 2 序列的生成器，为设计快速和恒定延迟同步数字计数器提供了合适的特性。这项工作的主要贡献是提出了一种新型同步数字计数器，包括基于 CA 的预分频器和各种配置（在位长、速度和面积要求方面）的连续计数模块，以形成模块化和收缩计数结构以最少的冗余硬件和低功耗运行。这是第一次提供对一维 CA 规则 102 的彻底探索，并将其视为大小异构模块的收缩计数器的预分频器，以低面积/功率损失实现所需的恒定延迟特性。建议的柜台，