Multistage implementation of optimal reconstruction in noisy filter banks

It is well known that conventional design techniques of filter banks lose their ability to guarantee the perfect reconstruction condition when additive noise disturbs the subband sequences. The alternative synthesis scheme compensates the effects of the subband noise by estimating the transmitted samples minimizing the reconstruction mean squarred error, MSE. This process is based on the state-space model of the standard block interpolation process. According to relation between the decimation/interpolation factor and the model order, the appropriate computational efficient implementation schemes were developed.