Low-Order Controllers for Active Noise Cancellation Based on Hankel Matrix Rank Minimization

International Workshop on Acoustic Signal Enhancement, pp. 399–403

Abstract

Feedback active noise cancellation (ANC) has become a common tool to reduce unwanted noise in hearing devices. We discuss controller design approaches, which involve the approximation of high-order prototype controllers by low-order ones for resource-constrained applications. A drawback of conventional approaches is that the error introduced by the low-order approximation is not considered in the design of the prototype controller. Our concept is to mitigate this drawback using a novel algorithm which promotes prototype controllers that can be approximated with a low error. For this, we use the well-known nuclear norm heuristic. We describe the design process and provide empirical evidence of a performance improvement in applications where a low-order controller is required.

Authors 2

1. Florian Hilgemann Aachen Institute of Communication Systems

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University,Institute of Communication Systems

2. Peter Jax Aachen Institute of Communication Systems

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University,Institute of Communication Systems