Real-orthogonal STBC representation using filter banks

In this paper, we propose to study the relationship between filter banks (FB) and real space time block codes (STBC). From the FB perspective, in order to decode the symbol, we will show that the corresponding FB must have perfect reconstruction (PR) property. Then we consider the problem of implementing a nonrate-one code where its entries may contain algebraic number. In order to reduce the complexity, we propose a method to approximate this STBC using finite word length while preserving the orthogonality condition.