Feedback design of spatially-distributed filters with tunable resolution

TL;DR

This paper presents a control-theoretic method for tuning the resolution of spatially-distributed filters inspired by visual cortex structures, enabling adaptive multiresolution sensing while maintaining stability.

Contribution

It introduces gain-tuning rules for spatial feedback loops that adjust filter resolution akin to wavelet zoom, applicable to biological and neuromorphic systems.

Findings

Derived gain-tuning rules for spatial filters

Achieved resolution adjustment while preserving stability

Applicable to neuromorphic sensor design

Abstract

We derive gain-tuning rules for the positive and negative spatial-feedback loops of a spatially-distributed filter to change the resolution of its spatial band-pass characteristic accordingly to a wavelet zoom, while preserving temporal stability. The filter design is inspired by the canonical spatial feedback structure of the primary visual cortex and is motivated by understanding attentional control of visual resolution. Besides biology, our control-theoretical design strategy is relevant for the development of neuromorphic multiresolution distributed sensors through the feedback interconnection of elementary spatial transfer functions and gain tuning.