2005
DOI: 10.1002/jnm.598
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Accelerating the transient simulation of semiconductor devices using filter-bank transforms

Abstract: Abstract-Using fully or semi-implicit schemes to solve hydrodynamic transport equations is very suitable and efficient for transient simulations of semiconductor devices. But, using these techniques leads to a large system of linear equations. Here for the first time, a preconditioning method based on the filter-bank and wavelet transforms is used to facilitate the iterative solution of this system. As the first step in the performance investigation of this preconditioner in the simulation of semiconductor dev… Show more

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Cited by 10 publications
(11 citation statements)
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“…4. Thus, the unit-per-length noise correlation matrix for chain representation of the transistor (CA UPL ) can be deduced as [16][17][18] …”
Section: Noise Modeling Of High-frequency Fetsmentioning
confidence: 99%
“…4. Thus, the unit-per-length noise correlation matrix for chain representation of the transistor (CA UPL ) can be deduced as [16][17][18] …”
Section: Noise Modeling Of High-frequency Fetsmentioning
confidence: 99%
“…In the following, we use the tensor product filter-bank transform, which is called the 2-D transform, for preconditioning. Also, we use Daubechies wavelets for wavelet transforms and and filter-banks for filter-bank transforms [24]. Fig.…”
Section: Construction Of the Preconditionermentioning
confidence: 99%
“…Here, we consider one of the existing implicit schemes for semiconductor equations. In this scheme, Poisson's equation is considered as follows and called the modified Poisson's equation [22].…”
Section: B Modified Poisson's Equationmentioning
confidence: 99%
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“…Although, some efficient numerical methods have been recently proposed for simulation time reduction [5][6][7][8][9], but it sounds that this analysis approach needs more attention for implementing in simulation software. On the other hand, device behavior in high frequencies can be well described using semi-distributed model which can be easily implemented in CAD routines of simulators [9][10][11][12]. But the semi-distributed model cannot consider wave propagation effect and phase cancellation on the electrical performance of the device [2].…”
Section: Introductionmentioning
confidence: 99%