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Block transform packets-an efficient approach to time-frequency decomposition

机译:块变换包-一种有效的时频分解方法

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A block transform packet (BTP) is an orthonormal block transform which represents an arbitrary tiling of the time-frequency plane. This paper describes procedures for synthesizing BTPs with desirable time-frequency localization from conventional block transforms while maintaining the computational progenitor transforms. Time localizable block transform packets (TLBT) are constructed from the DCT while the dual frequency localizable block transform packets are synthesized starting with the time-localized Kronecker delta basis sequences. The BTP can represent a time-varying decomposition tree but requires no transition or boundary filters. This decomposition is an efficient alternative to wavelet packet decomposition. Three examples are developed to illustrate the procedure and demonstrate the enhanced compression properties of the TLBT.
机译:块变换分组(BTP)是代表时频平面的任意平铺的正交块变换。本文介绍了在保持计算祖先变换的同时,从常规块变换中合成具有所需时频定位的BTP的过程。从DCT构造时间可本地化的块变换包(TLBT),同时从时间本地化的Kronecker delta基序列开始合成双频可本地化的块变换包。 BTP可以表示随时间变化的分解树,但不需要过渡或边界过滤器。这种分解是小波包分解的有效替代方法。开发了三个示例来说明该过程并演示TLBT增强的压缩属性。

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