By employing the theoretical method based on tight-binding, we study electronic band structure of single-wall carbon nanotube (CNT) superlattices, which the system is the made of the junction between the zigzag and armchair carbon nanotubes. Exactly at the place of connection, it is appeared the pentagon–heptagon pairs as topological defect in carbon hexagonal network. The calculations are base...

In this work, using perturbation technique we have developed an approximate analytic model for evaluating the band structure of a 2-D octagonal photonic quasicrystal (PQC). Although numerical techniques are being used for evaluating such band structures, developing a numerical model to the best of our knowledge this work is the first instance of reporting helps to understand the physical proper...

The frequency response of the inertial magnetoelectric vibration velocity sensor is limited in the low frequency range due to the character of second order high pass filter of the structure. For better performance in the low frequency range, the traditional method is to increase the initial mass of the sensor which will increase the size and weight tremendously. This paper presents a frequency-...

We study the random sampling of band-limited functions of several variables. If a band-limited function with bandwidth has its essential support on a cube of volume R, then O(Rd logR) random samples suffice to approximate the function up to a given error with high probability.

A recognizer trained with full-bandwidth speech performs badly when recognizing band-limited speech because of environment mismatch. In this paper, we have proposed a novel model synthesis method for band-limited speech recognition. It detects speech bandwidth automatically and synthesizes a new acoustic model only using a full-bandwidth model when the bandwidth has been changed. Experiments co...

The notion of band limited functions is introduced on a quantum graph. The main results of the paper are a uniqueness theorem and a reconstruction algorithm of such functions from discrete sets of values. It turns out that some of our band limited functions can have compact supports and their frequencies can be localized on the “time” side. It opens an opportunity to consider signals of a varia...

In this paper we devise a method for recovering band limited signals which have been subjected to a distorting procedure called companding. A band limited signal is a function in L2 whose Fourier transform vanishes outside of a bounded interval. In practice most real signals are in this class since they have no indefinitely high frequency components. The operation of companding a signal f(t) co...

We study pathwise predictability of continuous time processes in deterministic setting, when the convolution integrals over future time can be approximated by integrals over past time. Uniform prediction in some weak sense with respect to certain classes of inputs is discussed. We found that all band-limited processes are predictable in this sense, as well as high-frequent processes with zero e...

In this work, we investigate the parallel-beam projection and reconstruction of band-limited Hermite expansions. Using a recently developed coordinate conversion technique, we show how the Fourier slice theorem can be directly applied. In our new approach, we do not introduce a non-integrable filter that appears in the filtered backprojection method. Since a projection of a 2D band-limited Herm...

Abstract. We use generalized Gaussian quadratures for exponentials to develop a new ODE solver. Nodes and weights of these quadratures are computed for a given bandlimit c and user selected accuracy ǫ, so that they integrate functions e, for all |b| ≤ c, with accuracy ǫ. Nodes of these quadratures do not concentrate excessively near the end points of an interval as those of the standard, polyno...