Sampled-data $H^{\infty}$ Optimization for Self-interference Suppression in Baseband Signal Subspaces
Abstract
In this article, we propose a design method of selfinterference cancelers for wireless relay stations taking account of the baseband signal subspace. The problem is first formulated as a sampled-data $H^{\infty}$ control problem with a generalized sampler and a generalized hold, which can be reduced to a discretetime $\ell^2$-induced norm minimization problem. Taking account of the implementation of the generalized sampler and hold, we adopt the filter-sampler structure for the generalized sampler, and the uspampler-filter-hold structure for the generalized hold. Under these implementation constraints, we reformulate the problem as a standard discrete-time $H^{\infty}$ control problem by using the discrete-time lifting technique. A simulation result is shown to illustrate the effectiveness of the proposed method.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2015
- DOI:
- 10.48550/arXiv.1503.07692
- arXiv:
- arXiv:1503.07692
- Bibcode:
- 2015arXiv150307692S
- Keywords:
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- Computer Science - Systems and Control
- E-Print:
- submitted