...under perpetual construction.
This page contains some notes about LDMOS devices modeling; while the concepts discussed are general, the main focus is on obtaining models for low/medium power amplifiers for the HF/VHF amateur radio bands.
At first, the small-signal model extraction is discussed and a method is presented that allows to obtain an estimate of the main parameters. The values obtained can then be used as a starting point for an optimization procedure, in order to obtain a model which fits even better the measured data provided as input. Of course, to obtain a better model, a measure of the model quality has to be defined first; as discussed in [1] several different choices are possible.
Some practical examples of commonly used RF LDMOS are also presented on their own pages (see menu on the left): these model were optimized using the S-parameters Error Vector Magnitude (EVM) as error measure [1].
Later on also the extraction of a large-signal model, based on [5] and [6], will be presented.
The following figure shows a typical MOS equivalent circuit
The Z-parameters of this equivalent circuits can be easily determined after some tedious calulations; the general idea is first to compute the Y parameters of the intrinsic part and then add the contributions of the extrinsec resistors and capacitors [2]
Assuming the Z-parameters are where
There are a number of different methods to determine parameters values of the small signal model circuit ("parameters extraction"); one of the most general is described in [2]. The Z-parameters above are rewritten as a ratio of polynomials whose coefficient can be determined by fitting these rational functions to the measured Z-parameters; Note that some of the Z-parameters equations may need to be multiplied by so that all are non-zero and . An important feature of this method is that a least-square fit can be determined directly, without any interative optimization needing an initial starting point close enough to the optimal values to converge properly.
For the circuit above, still assuming , the Z-parameters are rewritten as note that the denominator of all the expressions is the same. In the equations above so that
References: