FIR/IIR exact reconstruction filter banks with applications to subband coding of images

A class of two-channel analysis/synthesis filter banks which are useful in subband coding is described. The procedure is particularly useful in hierarchical coding where a low-resolution embedded signal is obtained by using separable halfband filters. The filter bank can be composed of finite-duration impulse response or infinite-duration impulse response filters. The basic structure is simple and one can use well-known classes of filters as prototypes in a flexible manner to obtain the exact reconstruction solutions. Even if the filter coefficients are quantized for a low-bit representation, the exact reconstruction property is preserved. Some examples of exact reconstruction solutions are presented