Multi-sine synthesis and analysis via Walsh-Hadamard transformation

In this paper, based on a special filter-bank pair, a new multi-sine synthesizer and analyzer is presented which can be efficiently utilized in solving system identification problems. These filter-banks are fast, indirect implementations of the inverse discrete (IDFT) and discrete Fourier Transformation (DFT) algorithms providing low computational complexity and high accuracy. The proposed structures are based on the proper combination of polyphase filtering and the Walsh-Hadamard (WHT) Transformations. The inherent parallelism of these structures enables very high speed in practical implementations and the use of more parallel A/D, D/A converters