# Active Noise Control with Sampled-Data Filtered-x Adaptive Algorithm

arXiv: https://arxiv.org/abs/1308.3300 · HTML: https://mlsanity.com/paper/1308.3300/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 15 Aug 2013.

## Built on by (most cited first, 1 of 1)

- [A survey on active noise control techniques -- Part I: Linear systems](https://mlsanity.com/paper/2110.00531/) (2021)

## Abstract (arXiv)

Analysis and design of filtered-x adaptive algorithms are conventionally done by assuming that the transfer function in the secondary path is a discrete-time system. However, in real systems such as active noise control, the secondary path is a continuous-time system. Therefore, such a system should be analyzed and designed as a hybrid system including discrete- and continuous- time systems and AD/DA devices. In this article, we propose a hybrid design taking account of continuous-time behavior of the secondary path via lifting (continuous-time polyphase decomposition) technique in sampled-data control theory.