Structural sub-band decomposition of sequences and its applications in signal processing

The authors present a tutorial paper in which they review the concept of st ructural sub-band decomposition of sequences, a generalisation of polyphase decomposition. The idea of using a very simple analysis-synthesis structur e allows for computational efficiency. It is applicable both for signals an d for systems, which may thus be designed and realised advantageously. The use of such decomposition is shown, in terms of theory and applications, fo r transform-based spectral analysis, FIR filter design and implementation, and adaptive filtering. Advantages are demonstrated for cases of narrow-ban d signals and systems.