scholarly journals Closed-Form Equation of Data Dependent Jitter in First Order Low Pass System

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Sangjin Byun

This paper presents a closed-form equation of data dependent jitter (DDJ) in first order low pass systems. The DDJ relates to the system bandwidth, the bit rate, the input rise/fall time, and the number of maximum consecutive identical bits of the data pattern. To confirm the derived equation, simulations have been done with a first order RC low pass circuit for various system bandwidths, bit rates, input rise/fall times, and data patterns. The simulation results agree well with the calculated DDJ values by the derived equation.

Author(s):  
Manoj Kumar Jain

Some time back, Kircay reported an electronically-tunable current-mode square-root-domain first-order filter capable of realizing low-pass (LP), high-pass (HP) and all-pass (AP) filter functions. When simulated in SPICE, Kircay’s circuit has been found to exhibit DC offsets in case of LP and AP responses and incorrect transient response in case of HP response. In this paper, an improved circuit overcoming these difficulties/deficiencies has been suggested and its workability of the improved circuit as well as its capability in meeting the intended objectives has been demonstrated by SPICE simulation results.


2014 ◽  
Vol 23 (08) ◽  
pp. 1450116 ◽  
Author(s):  
HASAN SOZEN ◽  
UGUR CAM

The memristor has drawn the worldwide attention since it has been discovered at HP laboratory on 1 May 2008. Since then many researchers are taking efforts to find its applications in various areas. In this paper, we study the filter characteristics of first-order low pass and high pass filters employing memristor with a capacitor. The paper provides a comparative analysis between low pass and high pass filter circuits that utilizing ordinary resistor or memristor with a capacitor. The theoretical analyzes are verified with SPICE simulation results using a memristor SPICE model with nonlinear dopant drift and MATLAB environment. The effect of change of the input frequency and initial resistance value of memristor on the cut-off frequencies of the presented low pass and high pass filters are investigated. The memory effect of memristor is represented by simulation results.


2006 ◽  
Vol 15 (02) ◽  
pp. 289-300 ◽  
Author(s):  
SUDHANSHU MAHESHWARI ◽  
IQBAL A. KHAN ◽  
JITENDRA MOHAN

Six novel first-order filters with voltage input, voltage and current outputs employing a single fully differential current conveyor are proposed, three of which are canonical. All the circuits employ a grounded capacitor; and realize all-pass, low-pass and/or high-pass functions. Some circuits provide five distinct first-order functions or six functions with additional output stages. The proposed circuits are verified through computer simulation results.


2017 ◽  
Vol 7 (1) ◽  
pp. 1353-1357
Author(s):  
M. Bagheri ◽  
A. Bijari ◽  
M. Imanparast ◽  
M. Raghebi

In this paper, a new micromechanical disc resonator with two L-shaped horizontal support beams in torsional mode vibrations has been proposed. The proposed micromechanical resonator has been studied in the field of natural frequencies and support loss. In order to verify the findings of natural frequencies, the analytical results are compared to the simulation results given by ANSYS software. A good agreement between analytical and simulation results is shown. In addition a closed-form equation for support loss quality factor in torsional mode vibrations of the proposed micromechanical resonator is presented. The results show that using L-shaped support beams can improve the support loss quality factor up to two times.


Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 208
Author(s):  
Qifei Zhou ◽  
Changqing Zhu ◽  
Na Ren ◽  
Weitong Chen ◽  
Weiteng Gong

Zero watermarking is an important part of copyright protection of vector geographic data. However, how to improve the robustness of zero watermarking is still a critical challenge, especially in resisting attacks with significant distortion. We proposed a zero watermarking method for vector geographic data based on the number of neighboring features. The method makes full use of spatial characteristics of vector geographic data, including topological characteristics and statistical characteristics. First, the number of first-order neighboring features (NFNF) and the number of second-order neighboring features (NSNF) of every feature in vector geographic data are counted. Then, the watermark bit is determined by the NFNF value, and the watermark index is determined by the NSNF value. Finally, combine the watermark bits and the watermark indices to construct a watermark. Experiments verify the theoretical achievements and good robustness of this method. Simulation results also demonstrate that the normalized coefficient of the method is always kept at 1.00 under the attacks that distort data significantly, which has the superior performance in comparison to other methods.


2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Ahmed El-Sayed Ahmed ◽  
Bratislav Iričanin ◽  
Witold Kosmala ◽  
Stevo Stević ◽  
Zdeněk Šmarda

AbstractWe obtain a family of first order sine-type difference equations solvable in closed form in a constructive way, and we present a general solution to each of the equations.


Author(s):  
S. Elhanafi ◽  
K. Farhang

This paper considers leakage in mechanical seals under hydrostatic operating condition. A contact model based on the Greenwood and Williamson contact of rough surfaces is developed for treating problems involving mechanical seals in which both the micron scale roughness of the seal face and its macro scale profile are used to obtain either a closed-form equation or a nonlinear equation relating mean plane separation to the mass flow rate. The equations involve the micron scale geometry of the rough surfaces and physical parameter of the seal and carriage. Under hydrostatic condition, it is shown that there is an approximate closed-form solution in which mass flow rate in terms of the mean plane separation, or alternatively, the mean plane separation in terms of the leakage mass flow rate is found. Equations pertaining to leakage in nominally flat seal macro profile is considered and closed form equation relating to leakage flow rate to pressure difference is obtained that contain macro and micron geometries of the seal.


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