In this paper the following three goals are addressed. The first goal is to study some strong partial differential equations (PDEs) that imply curvature-flatness, in cases of both symmetric and non-symmetric connection. Although curvature-flatness idea classic for connection, our main theorems about flatness solutions completely new, leaving a while point view geometry entering PDEs. second int...

We show (under mild topological assumptions) that small oscillation of the unit normal vector implies Reifenberg flatness. We then apply this observation to the study of chord-arc domains and to a quantitative version of a two-phase free boundary problem for harmonic measure previously studied by Kenig-Toro [KT06].

According to psychological research of emotional speech different emotions are accompanied by different spectral noise. We control its amount by spectral flatness according to which the high frequency noise is mixed in voiced frames during cepstral speech synthesis. Our experiments are aimed at statistical analysis of spectral flatness in three emotions (joy, sadness, anger), and a neutral stat...

59 Abstract— Conventional noise reduction filtering schemes realize limited improvements of the peak signal-to-noise ratio (PSNR) in the low-level noisy images. The flatness degree and the edge information are effectively used to estimate the noise volume. We propose a noise estimator for reducing noise in the AWGN (additive white gaussian noise) corrupted images using three intermediate image ...

Abstract: In this paper, an approach to design and implement a real-time system based on a RISC microcontroller dedicated to a DC motor speed control, is proposed. A polynomial RST controller based on the flatness property of linear systems is implemented in C/C++ embedded programming language. The flatness property is used in order to design a robust controller with high performance in terms o...

In this paper, a two-stage 0.18 μm CMOS power amplifier (PA) for ultra-wideband (UWB) 3 to 5 GHz based on common source inductive degeneration with an auxiliary is proposed. proposal, used place the 2nd harmonic in core amplified order make up gain progression phenomena at main output node. Simulation results show of 16 dB flatness 0.4 and input 1 compression about -5 dBm from using 1.8 V suppl...

This paper presents a compact 24‒32 GHz high-linearity broadband, fully integrated amplifier which is designed in 130-nm SiGe (BiCMOS). The principle of improving the linearity degeneration inductor and effect driving stage on are analyzed. To achieve flat transformer also used inter-stage matching. Output matching for low insertion loss networks has been selected carefully. demonstrates small ...

This paper is devoted to the study of the flatness property of linear time-invariant differential systems of fractional systems. We give two characterizations of fractionally flat outputs and algorithms to compute them. We then present an application to a two dimensional thermal system that we approximate by a fractional model of order 1 2 , that is fractionally flat. Trajectory planning of the...

In 2001, S. Bulman-Fleming et al. initiated the study of three flatness properties (weakly kernel flat, principally weakly kernel flat, translation kernel flat) of right acts $A_{S}$ over a monoid $S$ that can be described by means of when the functor $A_{S} otimes -$ preserves pullbacks. In this paper, we extend these results to $S$-posets and present equivalent descriptions of weakly kernel p...