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A multitime circuit formulation for closely spaced frequencies

机译：用于紧密间隔频率的多时间电路公式

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Verifying circuits with two or more closely-spaced driving frequencies is important in RF and wireless communications, for example, in the design of down-conversion mixers. Existing steady-state calculation methods, like harmonic balance, rely on Fourier series expansions to find the difference-frequency components typically of interest. Time-domain methods are, however, better suited for circuits with strong nonlinearitics such as switching. Towards this end, we present a purely time-domain method for direct computation of difference tones in closely-spaced multitone problems. Our approach is based on multiple artificial time scales for decoupling the tones driving the circuit. Our method relies on a novel multitime reformulation that expresses circuit equations directly in terms of time-scales corresponding to difference tones. We apply the new technique to an RF-CMOS mixer to predict baseband bit-streams and down-conversion gain and distortion, in two orders of magnitude less CPU time than traditional time-stepping simulation. (c) 2005 Wiley Periodicals, Inc.
机译：在RF和无线通信中，例如在下变频混频器的设计中，验证具有两个或更多个间隔紧密的驱动频率的电路非常重要。现有的稳态计算方法（如谐波平衡）依靠傅立叶级数展开来找到通常感兴趣的差频分量。但是，时域方法更适合于具有强非线性特性的电路，例如开关。为此，我们提出了一种纯时域方法，用于直接计算紧密间隔的多音问题中的差异音。我们的方法基于多个人工时标，以将驱动电路的音调去耦。我们的方法依赖于新颖的多时重构，该重构可以直接在对应于不同音调的时标上表达电路方程。我们将新技术应用于RF-CMOS混频器，以预测基带比特流以及下变频增益和失真，其CPU时间比传统的时间步长仿真少两个数量级。 （c）2005年Wiley Periodicals，Inc.

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