2005 · 159 citations · 6 references
EngineeringComputer EngineeringElectrical EngineeringAnalog ElectronicsBiomedical Signal ProcessingComputational AcousticsChannel CodingDigital Signal ProcessingDistortion AnalysisRate-distortion TheorySignal ProcessingSource CodingDecimation ArchitecturesFilter Bank DesignFilter BanksSignal ReconstructionSignalsSpeech Signal AnalysisSpeech Signal ProcessingSubband Coding
Tree‑structured analysis/reconstruction systems are widely studied for speech subband coders, where decimation must preserve sample count and past designs aim to eliminate aliasing while minimizing distortion. The paper aims to derive conditions for exact reconstruction and to provide a general design method for high‑quality analysis and reconstruction filters. The authors present a general method for designing the corresponding high‑quality analysis and reconstruction filters that satisfy the exact reconstruction conditions. The study demonstrates that tree‑structured analysis/reconstruction systems can be designed to satisfy the sampling‑rate constraint while achieving exact reconstruction of the input signal.
In recent years, tree-structured analysis/reconstruction systems have been extensively studied for use in subband coders for speech. In such systems, it is important that the individual channel signals be decimated in such a way that the number of samples coded and transmitted does not exceed the number of samples in the original speech signal. Under this constraint, the systems presented in the past have sought to remove the aliasing distortion while minimizing the overall analysis/reconstruction distortion. In this paper, it is shown that it is possible to design tree-structured analysis/reconstruction systems which meet the sampling rate condition and which also result in exact reconstruction of the input signal. This paper develops the conditions for exact reconstruction and presents a general method for designing the corresponding high quality analysis and reconstruction filters.
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