Boundary filters with maximum coding gain and ideal DC behavior for size-limited paraunitary filter banks

摘要

This paper presents boundary optimization techniques for the processing of arbitrary-length signals with paraunitary multirate filter banks. The boundary filters are designed to maximize the coding gain while providing an ideal DC behavior. Thus, all filters except the lowpass filter are designed to have zero mean. The proposed methods give direct solutions to the problem of finding optimal boundary filters and do not require numerical optimization.