On the Integration Schemes of Retrieving Impulse Response Functions from Transfer Functions

Chen, Kui Fu; Li, Yan Feng

doi:10.1155/2010/143582

Cited by 9 publications

(2 citation statements)

References 35 publications

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“…We cannot derive or evaluate the output signal without being given the transfer function. There are some proposals that present their methods to approach the transfer function [9][10][11]. A simple one is to receive the impulse response at output as input being an impulse signal.…”

Section: Introductionmentioning

confidence: 99%

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Evaluation of Geometrical Modulation Transfer Function in Optical Lens System

Tsai

2015

Mathematical Problems in Engineering

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This paper presents ray tracing algorithms to evaluate the geometrical modulation transfer function (GMTF) of optical lens system. There are two kinds of ray tracings methods that can be applied to help simulate the point spread function (PSF) in the image plane, for example, paraxial optics and real ray tracings. The paraxial optics ray tracing is used to calculate the first-order properties such as the effective focal length (EFL) and the entrance pupil position through less cost of computation. However, the PSF could have a large tolerance by only using paraxial optics ray tracing for simulation. Some formulas for real ray tracing are applied in the sagittal and tangential line spread function (LSF). The algorithms are developed to demonstrate the simulation of LSF. Finally, the GMTF is evaluated after the fast Fourier transform (FFT) of the LSF.

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Section: Introductionmentioning

confidence: 99%

“…A simple one is to receive the impulse response at output as input being an impulse signal. This impulse response is related to the transfer function [10]. Using the same procedure, a point source is respected as the impulse signal to help estimate the image response in a lens system.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of Geometrical Modulation Transfer Function in Optical Lens System

Tsai

2015

Mathematical Problems in Engineering

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A locking‐free shifted inverse iteration based on multigrid discretization for the elastic eigenvalue problem

Zhang

Yang

2021

Math Methods in App Sciences

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Mixed convection MHD flows of Ag, Cu, TiO$$_{2}$$ and Al$$_{2}$$O$$_{3}$$ nanofluids over in unsteady stretching sheet in the presence of heat generation along with radiation$${\setminus }$$absorption effects

et al. 2021

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In this investigation, observations are made for further analysis of heat and mass transfer in magnetohydrodynamic mixed convectional nanofluid flow over a time-dependent stretching sheet. Carboxymethyl cellulose (CMC) water is taken as carrier fluid with different types of nanoparticles such as Titanium (TiO 2 ), Silver (Ag), Aluminum (Al 2 O 3 ) and copper (Cu). Flow contains, chemical reaction effect, heat source, radiation absorptions and Schmidt number effects are considered to be significant while, keeping the influence of magnetic field. Coupled equations are investigated analytically by HAM (Homotopy Analysis Method) and numerical method BVP4C (shooting method package). Different observations for physical quantities such as (nanoparticles), M (Thermocapillary number), Ma (Hartmann number), Υ (film thickness) and Pr (Prandtl number) are made for, velocity, temperature and solute concentration profiles are observed. Al 2 O 3 -water nanofluid has higher Solute concentration than the other nanofluids. Skin friction, heat flux, and mass flux are direct functions of magnetic force, but inverse function of, temperature of the fluid. Magnetic force also decreased the speed of fluids and hence mass flux reduced which implies that, the temperature reduces. Gr t increased, free temperature increased, while skin friction, heat flux, and mass flux are decreased, but increased in the speed of fluids. Increasing Gr c , the values of −f �� (0) , − � (0) , and −Φ � (0) are decreased while, (1) is increased. Results for −f �� (0) (surface skin friction), − � (0) (Nuselt number or heat flux), (1) (free surface temperature) and −Φ � (0) (Sherwood number) are pictured graphically and in tabular form. Analytical and numerical solutions were established for nanofluid modeled in terms of Ham via BVPh2.0 and numerical solution for flow of nanofluid problem by shooting method via BVP4C. Variable viscosity and thermal conductivity are the proposed study related to the study.

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On the Integration Schemes of Retrieving Impulse Response Functions from Transfer Functions

Cited by 9 publications

References 35 publications

Evaluation of Geometrical Modulation Transfer Function in Optical Lens System

Evaluation of Geometrical Modulation Transfer Function in Optical Lens System

A locking‐free shifted inverse iteration based on multigrid discretization for the elastic eigenvalue problem

Mixed convection MHD flows of Ag, Cu, TiO$$_{2}$$ and Al$$_{2}$$O$$_{3}$$ nanofluids over in unsteady stretching sheet in the presence of heat generation along with radiation$${\setminus }$$absorption effects

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