Design and analysis of linear precoders under a mean square error criterion, Part I: foundations and worst case designs

✍ Scribed by Jonathan H. Manton

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 257 KB
• Volume: 49
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(02)00316-x

✦ Synopsis

Much debate surrounds the pros and cons of linear precoders in wireless communication systems. This two-part paper contributes to the debate by formulating the precoder design problem as an optimisation problem and studying the optimal solutions, thereby gaining a better understanding of how precoders work and what they can do. Part I builds a mathematical foundation for the study of linear precoders. It is shown that under a mean square error criterion, a natural convex geometry arises. This geometry facilitates the derivation of a necessary and su cient condition for a linear precoder to be maximally robust, meaning the precoder's worst case performance is no worse than that of any other linear precoder. Part II studies precoders having the lowest average mean square error, deriving closed form solutions in special cases and developing a stochastic optimisation algorithm for computing optimal precoders in general.