We propose a new family of hyperbolic kernels ⌽ hyperbolic (,)ϭ͓sech(␤)͔ n , where nϭ1,3,5,..., for a joint timefrequency distribution. The first-order hyperbolic kernel sech(␤) is mainly considered. Theoretical aspects of the new hyperbolic kernel are examined in detail. The effectiveness of a kernel is determined by three factors: cross-term suppression, auto-term resolution, and noise robustness. The effectiveness of the new kernel is compared with other kernels including Choi-Williams, Wigner-Ville, and multiform tiltable exponential using two different signals: complex-exponential and chirp.

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As network access costs, especially over the last mile, decrease and broadband access becomes more available to the home user, the idea of Video-on-Demand (VoD) as an application bas made a comeback. Previously, VoD systems could only support a local Intranet, however when considering deploying a global VoD service, the issue of scalability becomes important. Indeed many low-bitrate Internet streaming services have led the way in distributed video server design At this point we need to reexamine the issues of designing a global VoD service that is not only scalable, but also cost effective-the most important driver in deciding whether VoD will survive its latest incamation, or whether it will fade away to bide its time again.