scholarly journals Resistor Geometry Comparison With Respect to Current Noise and Trim Sensitivity

1977 ◽  
Vol 4 (2) ◽  
pp. 63-68 ◽  
Author(s):  
W. Ulbrich
Keyword(s):  
Finite Difference ◽  
Current Distribution ◽  
Current Noise ◽  
Total Resistance ◽  
Sheet Resistivity ◽  
Design Rules ◽  
Optimal Geometry ◽  
Practical Design ◽  
Finite Difference Solution ◽  
Resistance Value

The paper deals with laser trimming of film resistors. The finite-difference solution of the electric field calculated by a digital computer gives the total resistance and the inhomogeneous current distribution within the resistor area. The current noise voltage was found to be proportional to the sum of reciprocal subareas wherein the current density is approximately constant. Resistor trimming is modelled by finite increments of cut length to obtain the resistance trim rate and the trim sensitivity.Known and new resistor geometries and cut configurations are compared (based on the same resistor area and the same initial tolerance of ± 20%) to find the optimal geometry depending on the ratio of the nominal resistance value to the sheet resistivity. Diagrams are given leading to practical design rules not only for resistance trimming but also for deterministic and functional tuning.

scholarly journals Overcoming the Realization Problems of Wideband Matching Circuits

2018 ◽  
pp. 31-36
Author(s):  
Balázs Matolcsy ◽  
Attila Zólomy
Keyword(s):  
Design Process ◽  
Circuit Simulation ◽  
Impedance Matching ◽  
Microwave Circuit ◽  
Design Rules ◽  
Analytical Design ◽  
Calculation Technique ◽  
Matching Networks ◽  
Practical Design

During the analytical design process of wideband impedance matching major problems may arise, that might lead to non-realizable matching networks, preventing the successful impedance matching. In this paper two practical design rules and a simplified equation is presented, supporting the design of physically realizable impedance matching networks. The design rules and calculation technique introduced by this paper is summarized, and validated by microwave circuit simulation examples.

scholarly journals Finite Difference Solution to a Nonlinear Time-Fractional Logistic Model

2021 ◽  
Vol 13 (2) ◽  
pp. 60
Author(s):  
Yuanyuan Yang ◽  
Gongsheng Li
Keyword(s):  
Finite Difference ◽  
Theoretical Analysis ◽  
Difference Scheme ◽  
Logistic Model ◽  
Stability And Convergence ◽  
Numerical Examples ◽  
Implicit Finite Difference Scheme ◽  
Finite Difference Solution ◽  
Implicit Finite Difference ◽  
Convergence Of The Scheme

We set forth a time-fractional logistic model and give an implicit finite difference scheme for solving of the model. The L^2 stability and convergence of the scheme are proved with the aids of discrete Gronwall inequality, and numerical examples are presented to support the theoretical analysis.

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