This paper presents a low-loss, sharp roll-off, and wideband millimeter-wave contiguous diplexer implemented on 0.127 mm-thick TLY5 dielectric material to separate U-band frequency range into two jointed ranges of 40-50 GHz 50-60 using low-pass high-pass filter channels. In order integrate the in front end down-converter evaluate response, proposed is supported by three add-on waveguide-to-susp...

In this paper, we review recent advances in pricing tranches of a collateralized debt obligations and credit default swap indexes: one factor Gaussian copula model and its extensions, the structural model, and the loss process model. Then, we propose using heavy-tailed functions in future research. As background, we provide a brief explanation of collateralized debt obligations, credit default ...

Depending on whether frequency domain duplexing or time domain duplexing (TDD) is used, one antenna can be shared by both transmitter and receiver via a frequencyselective diplexer or an RF switch. Additionally, a band-pass filter may be inserted before the LNA to prevent blocking or desensitization by a strong out-of-band interferer. However, both the duplexer and the filter have losses. As th...

Let G be a finite simple graph of order n, maximum degree ∆, and minimum degree δ. A compact regularization of G is a ∆-regular graph H of which G is an induced subgraph: H is symmetric if every automorphism of G can be extended to an automorphism of H. The index |H : G| of a regularization H of G is the ratio |V (H)|/|V (G)|. Let mcr(G) denote the index of a minimum compact regularization of G...

A hypoelliptic operator in the Heisenberg calculus on a compact contact manifold is Fredholm operator. Its symbol determines an element K-theory of noncommutative algebra symbols. We construct periodic cyclic cocycle which, when paired with Connes-Chern character principal symbol, calculates index. Our index formula local, i.e. given as local expression terms and connection TM its curvature. pr...