Boundary filters with maximum coding gain and ideal DC behavior for size-limited paraunitary filter banks
نویسنده
چکیده
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.
منابع مشابه
Boundary filters for size-limited paraunitary filter banks with maximum coding gain and ideal DC behavior
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 where all filters except the low-pass filters have zero mean. Moreover, solutions are presented that have similar frequency responses as the original subband...
متن کاملBoundary filters without DC leakage for paraunitary filter banks
The construction of boundary filters without DC leakage for two-channel paraunitary FIR filter banks is considered. The design procedure is based on orthogonal boundary filters which are optimal in a weighted mean square error sense in the Fourier domain and on Householder transformation of boundary filter matrices. Simulation results are presented for boundary filters based on minimum-phase Da...
متن کاملEnergy compaction performance of paraunitary FIR filter banks for finite-length signals
The energy compaction performance of two-channel paraunitary finite impulse response (FIR) filter banks for finitelength signals is investigated. A detailed non-iterative design procedure for boundary filters which are optimal in a weighted mean square error (MSE) sense in the Fourier domain is presented. Simulation results are given for twochannel paraunitary FIR filter banks based on minimump...
متن کاملA Design of Paraunitary Polyphase Matrices of Rational Filter Banks Based on (P,Q) Shift-Invariant Systems
In this paper we present a method to design paraunitary polyphase matrices of critically sampled rational filter banks. The method is based on (P,Q) shift-invariant systems, and so any kind of rational splitting of the frequency spectrum can be achieved using this method. Ideal (P,Q) shift-invariant system with smallest P and Q that map of a band of input spectrum to the output spectrum are obt...
متن کاملDesign of signal-adapted FIR paraunitary filter banks
We study the design of signal–adapted FIR paraunitary filter banks, using energy compaction as the adaptation criterion. We present some important properties that globally optimal solutions to this optimization problem satisfy. In particular, we show that the optimal filters in the first channel of the filter bank are spectral factors of the solution to a linear semi–infinite programming (SIP) ...
متن کامل