Lossless filter banks based on two point transform and interpolative prediction

In this paper, we present a method for designing lossless versions of two-channel FIR filter banks. We demonstrate that equal length PR FIR filter banks can be decomposed into 2-point transforms and unequal length filter banks into interpolative predictions. The lossless versions of the filter banks are obtained by replacing every constituent module by the corresponding lossless version. This method allows construction of the lossless versions of filter banks with arbitrary filter length. Lossless versions of several filter banks are designed and they are found to yield good performance for lossless image compression.