This paper derives the average symbol and bit weight distributions for the irregular non-binary cluster low-density parity-check (LDPC) code ensembles. Moreover, we give the exponential growth rates of the average weight distributions in the limit of large code length. We show the condition that the typical minimum distances linearly grow with the code length.

We consider a problem of global asymptotic stabilization of a class of feedforward nonlinear systems that have the unknown linear growth rate and unknown input delay. The proposed output feedback controller employs a dynamic gain which is tuned adaptively by monitoring the output value. As a result, a priori knowledge on the linear growth rate and delay size are not required in controller design, which is a clear benefit over the existing results.

We consider a problem of global asymptotic stabilization of a class of nonlinear systems that have the unknown linear growth rate. While the existing results only deal with one specified form of nonlinear systems, our proposed method includes both forms of triangular and feedforward nonlinear systems in a unified framework. The proposed controller has a dynamic gain mechanism which is selectively engaged based on the given nonlinear form. Then, the dynamic gain is adaptively tuned depending on the unknown linear growth rate.

The use of coplanar waveguide (CPW)-fed ultra-wideband antennas in applications of multi-system integration has been demonstrated in this paper. Spiral slot antennas and feeding structures were fabricated on the same plane of the substrate so that the circuit process and the position alignment could be simplified. A CPW-fed spiral slot antenna possessing the ultra-wideband characteristic is also suitable for integration with a monolithic microwave integrated circuit (MMIC) module. Variations of the measured initial resonant frequency due to substrate thickness, number of turns and slot width are discussed in this paper. In addition, two topologies of the CPW-fed spiral slot antenna were devised and measured to demonstrate the capability of lowering the initial resonant frequency by adding a circularly microstrip stub at the end of the feedline and placing a short pin to terminate the spiral slot and feedline. According to the measured results, the CPW-fed spiral slot antenna covered most of the commercial wireless communication and satellite communication systems in radio frequency (RF), microwave and millimeter-wave applications.