Root raised cosine roll-off (RRC) filter is one of the most fundamental elements in modern digital communications. This paper proposes a new method to efficiently realize the RRC filter. The method employs cubic Hermite interpolation to obtain a piecewise-polynomial approximation for the impulse response of the RRC filter. Then, the approximated impulse response is efficiently realized by using...

In this study, it is clarified that dynamical system of roll motion can be approximated by time varying autoregressive models which is a kind of statistical model firstly. As the result, when it is possible to measure the time series of roll motion, the ship stability can be judged based on time series analysis by using the time varying autoregressive modeling procedure. As to the verification ...

Neutral stability limits for wake flow behind a flat plate is studied using spectral method. First, Orr-Sommerfeld equation was changed to matrix form, covering the whole domain of solution. Next, each term of matrix was expanded using Chebyshev expansion series, a series very much equivalent to the Fourier cosine series. A group of functions and conditions are applied to start and end points i...

Selectivity estimation is an important task for query optimization. We propose a technique to perform range query estimation over multiple data streams using micro-clustering. The technique maintains cluster statistics in terms of micro-clusters and cosine series for all streams. These microclusters maintain data distribution information about the stream values using cosine coefficients. These ...

In the work we estimate $\mathbb{L}^1$ norms of some special cosine and sine series used in studying fractional integrals.

Global navigation satellite system (GNSS) does not suitable for the indoor positioning. Therefore, a pedestrian indoor autonomous navigation algorithm based on inertial sensor is proposed. The pedestrian gait detection and step length estimation are achieved by using the data of accelerometer. The roll, pitch and yaw angle are updated in real time using the cosine matrix. PDR is used to calcula...