Abstract
The failure of the traditional definition of instantaneous frequency (IFt) in the multicomponent case has been often reported, We will determine the reasons for failure of this definition, That will enable us to understand and integrate all previously reported cases in a simple unified theory. As a direct consequence, we will be able to extrapolate and predict the behavior of the traditional definition for any type of multicomponent signal.

Abstract

Abstract

Abstract
The nesting (or placement) problem is an NP-hard combinatorial problem with important industrial applications, e.g. in apparel or footwear industry. This paper describes a hardware infrastructure to accelerate the processing of the underlying geometric information. The system consists of an FPGA-based reconfigurable platform enhanced by an ASIC for the processing of irregular polygons. The paper discusses the need for such a platform, establishes the main design guidelines and describes the architecture and modes of operation of both the reconfigurable infrastructure and the dedicated IC.

Abstract
This work presents RVC (Reconfigurable Vector Coprocessor), a FPGA based custom computing machine for vector processing applications. This system was built to serve as an implementation platform for a custom vector processor designed for a digital signal processing application. Although its architecture has been in part dictated by the immediate needs of that dedicated processor, it also serves for other custom machines exhibiting similar requirements of vector processing. © 1998 IEEE.

Abstract
The concept of Instantaneous Frequency is still not clearly defined. Current operational definitions give rise to physical paradoxes, difficulting proper interpretation of the obtained results. In this paper, we discuss why those paradoxes appear, and show how they can be avoided. We introduce a new definition of Instantaneous Frequency, which yields physically consistent results. This is confirmed with the help of several examples.