Computability constraints in space-time delta-sigma arrays

Modern array-based RF systems require linear amplification to preserve the spectral integrity of simultaneously transmitted signals. Delta-sigma modulation jointly in space and time has been proposed to provide this linearity when paired with an emerging class of high-power switches. Since delta-sigma modulation involves a feedback loop, computability requirements restrict the class of possible loop filters. We examine several different computability restrictions and their effect on system performance in terms of quantization noise suppression and parallelization.