Shuichi Itoh

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— In this paper, a necessary and sufficient condition for sampling in the general framework of shift invariant spaces is derived. Then this result is applied respectively to the regular sampling and the perturbation of regular sampling in shift invariant spaces. A simple necessary and sufficient condition for regular sampling in shift invariant spaces is(More)
For finite energy 7-band continuous signal f (t) , t f E L 2 (R) and suppf(w) = [-7,-y], the classical Shannon Sampling Theorem gave the following reconstruction formula, where f (w) is the Fourier transform of f (t) defined by f (w) = J, f(t)e-* " *dt. Unfortunately it is not appropriate for non-band-limited signals. However if we let y = 2 m ~ , m € 2 ,(More)
— From the Paley–Wiener 1/4-theorem, the finite energy signal f (t) can be reconstructed from its irregularly sampled values f (k + k) if f (t) is band-limited and sup k j k j < 1=4. We consider the signals in wavelet subspaces and wish to recover the signals from its irregular samples by using scaling functions. Then the way to estimate the upper bound of(More)
We propose a method of predicting the number of requests for video titles in an on-demand video delivery system considering their time dependency. To handle many heterogeneous video requests in a video streaming delivery network system using video servers, it is effective to introduce video caching systems in the network system. For the cache system design(More)