We introduce a new stopping-time argument, adapted to handle linear sums of noncompactly-supported functions that satisfy fairly weak decay, smoothness, and cancellation conditions. We use the argument to obtain a new Littlewood-Paley-type result for such sums. 0. Introduction. First, an apology. The title, though correct, is somewhat misleading. It should be “Global almostorthogonality implies...

In the forward link of WCDMA systems, multipath propagation destroys the orthogonality of the user signals and causes multi-user interference (MUI). Channel equalization can restore the orthogonality and suppress the MUI. However, adaptive implementations of the chip equalizer receiver that can track fast fading multipath channels are hard to realize in practice. On one hand, sending a training...

Abstract About two dozens of exactly solvable Markov chains on one-dimensional finite and semi-infinite integer lattices are constructed in terms convolutions orthogonality measures the Krawtchouk, Hahn, Meixner, Charlier, q-Hahn, q-Meixner little q-Jacobi polynomials. By construction, stationary probability distributions, complete sets eigenvalues eigenvectors provided by polynomials measures. A...

The approximate behavior of wavelets as differential operators is often considered as one of their most fundamental properties. In this paper, we investigate how we can further improve on the wavelet’s behavior as differentiator. In particular, we propose semi-orthogonal differential wavelets. The semi-orthogonality condition ensures that wavelet spaces are mutually orthogonal. The operator, hi...

We study consequences of stationary and semi-stationary set reflection. We show that the semi-stationary reflection principle implies the Singular Cardinal Hypothesis, the failure of weak square principle, etc. We also consider two cardinal tree properties introduced recently by Weiss and prove that they follow from stationary and semi-stationary set reflection augmented with a weak form of Mar...

This paper p roposes semi-blind channel e s t ima t ion and interference cancel la t ion schemes for the reception of pilot-aided signals i n WCDMA systems. It is shown that the pe r fo rmance of classical training-based schemes is severely degraded due t o the code-multiplexing (as opposed to t imemult iplexing) of traffic and pilot signals. The timedispers ivi ty of the channel des t roys the...