General multirate building blocks and their application in nonuniform filter banks

This paper proposes a general linear dual-rate structure for multirate signal processing. Such general dual-rate systems are implementable at finite cost; in particular, they are equivalent to the cascade connections of linear periodically time-varying (LPTV) systems and block expanders and decimators. Using the general building blocks in nonuniform multirate filter banks, one can achieve what are otherwise impossible, thus paving the way for optimal design of synthesis systems