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    • 92. 发明授权
    • Polynomial generation method for circuit modeling
    • 电路建模的多项式生成方法
    • US07369974B2
    • 2008-05-06
    • US11217577
    • 2005-08-31
    • Yifeng YangYun Zhang
    • Yifeng YangYun Zhang
    • G06F17/50G06F9/455
    • G06F17/5045G06F17/5031G06F2217/08
    • A method for determining polynomials to model circuit delay includes the step of determining one or more error areas in a characteristic map that exceed an error margin. Next, a current domain count is set to zero and selecting one error area of the one or more error areas is selected. A patch region that will contain the error area determined the patch region is then curve fitted and the current domain count is increased by one. The steps of repeating steps of selecting an error area, determine a patch, curve fitting within the patch, and increasing the domain count by one are repeated until there are no error area within the patch region. Then a previous domain region having the largest domain count and at last one error area is curve fitted without using data points in any of the domain regions greater than the previous domain region if the previous domain region contains at least one error area, repeating steps of selecting an error area, determine a patch, curve fitting within the patch, and increasing the domain count by one. Then, a domain region having at least one error area is selected as the previous domain region. The steps of curve fitting a previous domain level having at least one error area is repeated for all domain regions less than the previous domain region that has at least one error areas, until all error areas are removed from all domain regions. Additionally, the method can include using a nth order polynomial for curve fitting and associating the polynomial with the current domain region.
    • 用于确定多项式以建模电路延迟的方法包括确定特征图中超过误差容限的一个或多个误差区域的步骤。 接下来,将当前域计数设置为零,并且选择一个或多个错误区域的一个错误区域。 将包含确定补丁区域的错误区域的补丁区域然后进行曲线拟合,并将当前域计数增加1。 重复选择错误区域,确定补丁,补丁内的曲线拟合以及将域数增加1的步骤的重复步骤,直到补丁区域内没有错误区域。 然后,如果先前的域区域包含至少一个错误区域,则具有最大域计数和最后一个错误区域的先前域区域被曲线拟合,而不使用大于先前域区域的任何域区域中的数据点,重复步骤 选择错误区域,确定补丁中的补丁,曲线拟合,并将域计数增加1。 然后,选择具有至少一个错误区域的域区域作为先前的域区域。 对于具有至少一个误差区域的先前域区域的所有域区域重复对具有至少一个误差区域的先前域级别的曲线拟合步骤,直到从所有域区域移除所有错误区域。 此外,该方法可以包括使用用于曲线拟合的第n阶多项式并将多项式与当前域区域相关联。
    • 95. 发明授权
    • Tin electroplating process
    • 锡电镀工艺
    • US5750017A
    • 1998-05-12
    • US697150
    • 1996-08-21
    • Yun Zhang
    • Yun Zhang
    • C25D3/32C25D3/60C25D5/18C25D7/00
    • C25D5/18C25D3/32C25D3/60
    • A process for plating tin or tin alloy onto metal substrates is described. In the process, a metal substrate is placed in an electroplating bath that contains a stannous sulfate and an organic compound additive in which the organic compound has a heterocyclic moiety in an aqueous solution of sulfonic acid. The bath is then subjected to pulse plating conditions that plate a layer of tin or tin alloy onto the metal substrate wherein the tin in the tin layer has a grain size of about 2 .mu.m to about 8 .mu.m. During pulse plating, a current density of about 65 ASF to about 250 ASF is applied to the electroplating bath in a pulsed manner, i.e. the current is cycled on and off during plating. The duty cycle of the pulse is about twenty-five percent to about thirty percent. The duration of the on pulse during the cycle is about 50 .mu.s to about 500 .mu.s.
    • 描述了将锡或锡合金镀在金属基底上的方法。 在该方法中,将金属基材放置在含有硫酸亚锡和有机化合物添加剂的电镀浴中,其中有机化合物在磺酸的水溶液中具有杂环部分。 然后对该浴进行脉冲电镀条件,其将锡或锡合金层铺在金属基底上,其中锡层中的锡具有约2μm至约8μm的晶粒尺寸。 在脉冲电镀期间,脉冲方式将电流密度约为65 ASF至约250 ASF施加到电镀槽,即在电镀过程中电流循环。 脉搏的占空比约为百分之二十五至百分之三十。 循环期间的通脉冲持续时间约为50μs至约500μs。