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       IMD Calculations for Nonlinear Two-port Elements           


IMD Calculations for Nonlinear Two-port Elements

IMD calculations through a nonlinear two-port element (e.g., amplifier, mixer, frequency multiplier) are carried out in the time domain based on the envelope modulation technique discussed in the Discrete Time Analysis topic or on the instantaneous modulation technique if the “Include all harmonics” option is selected in the frequency domain solution setup dialog. (By default, the “Include all harmonics” option is off.) The difference between the two techniques is that the latter one samples the carriers. The envelope modulation technique is based on the assumption that the frequency separation between the input carriers is typically much less than the fundamental input carrier frequency. This assumption is not necessary for the instantaneous modulation technique. For the envelope modulation technique, all input carriers can be resolved in terms of the fundamental input carrier to yield a time-domain envelope signal, which modulates the fundamental carrier. The non-linearity may then be applied to this envelope signal in the time domain to generate the distorted time domain output envelope. This output envelope can then be transformed back to the frequency domain to yield the output IMD frequency components. This technique is much more effective (especially for a large number of input carriers) than performing the nonlinear transformation in the frequency domain and having to account for all the possible IMD products.

The actual equivalent model used for this nonlinear transformation is discussed in the Nonlinear Electrical Element Discrete Time Simulation section in the Discrete Time Analysis topic.




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