Hilbert frames theory have been extended to frames in Hilbert $C^*$-modules. The paper introduces equivalent $*$-frames and presents ordinary duals of a constructed $*$-frame by an adjointable and invertible operator. Also, some necessary and sufficient conditions are studied such that $*$-frames and ordinary duals or operator duals of another $*$-frames are equivalent under these conditions. W...

We describe QCH Kähler surfaces $(M,g,J)$ of generalized orthotoric type. introduce a distinguished orthonormal frame on $(M,g)$ and give the structure equations for $(M,g,J)$. In case when opposite Hermitian $I$ is conformally

This paper discusses the ideal shapes of control frames (i.e., RTS/CTS frames) in the IEEE 802.11 MAC layer for efficient power control and directional beam forming in mobile ad hoc networks (MANETs). Control frames are used to coordinate concurrent transmissions for collision avoidance. Most existing schemes are either overly conservative (i.e., using omnidirectional control frames without pow...

In this paper, we propose a gradual noisy chaotic neural network (G-NCNN) to solve the NP-complete broadcast scheduling problem (BSP) in packet radio networks. The objective of the BSP is to design an optimal time-division multiple-access (TDMA) frame structure with minimal TDMA frame length and maximal channel utilization. A two-phase optimization is adopted to achieve the two objectives with ...

Frames have turned out to be an essential tool for many applications such as, for example, data transmission, due to their robustness not only against noise but also against losses and due to their freedom in design [4, 6]. Their main advantage lies in the fact that a frame can be designed to be redundant while still providing a reconstruction formula. Since the frame operator Sg = ∑n i=1 〈g, f...

This paper presents a simple displacement-based seismic design method for RC frames with steel damper column. As numerical example, two 10-story frame building models are shown. The results of nonlinear time-history analysis show that the peak displacement at equivalent height is close to target displacement. strength demand beam ends connected columns, and beam-damper column joints, calculated...

A probabilistic frame is a Borel probability measure with finite second moment whose support spans R. A Parseval probabilistic frame is one for which the associated matrix of second moment is the identity matrix in R. Each probabilistic frame is canonically associated to a Parseval probabilistic frame. In this paper, we show that this canonical Parseval probabilistic frame is the closest Parsev...