Efficient ANN Based Noise Modeling
of Microwave FETs Against Temperature
Zlatica Marinkovi , Olivera Proni -Ran i , Vera Markovi
Faculty of Electronic Engineering, University of Niš
Beogradska 14, 18000 Niš, Serbia and Montenegro
e-mail : [zlatica, oljap, vera]@elfak.ni.ac.yu
Abstract – An improved noise modeling technique for
microwave MESFETs / HEMTs versus temperature is presented.
It is based on an artificial neural network (ANN) that produces
noise parameters as its outputs for device temperature, S
parameters and frequency at its inputs. Once trained, the
proposed model can be used for efficient prediction of transistor
noise parameters over a wide temperature range. Since the model
is based on ANN, all noise-generating mechanisms are included
and therefore it is more accurate than empirical transistor
models, as it is shown on a numerical example.
I. INTRODUCTION
During the last decade, some attempts have been made to
model devices and systems in the field of microwaves by using
ANNs, [1]-[8]. ANN modeling techniques represent efficient
alternative to complex time-consuming electromagnetic models
because once developed neural models give responses
practically instantaneously, since response providing is based
on performing basic mathematical operations and calculating
elementary mathematic functions (such as an exponential or
hyperbolic tangent function). Neural networks are able to
approximate any nonlinear function and to learn from
experimental data. Therefore, it is possible to develop neural
model from source-response data points without the knowledge
about the physical characteristics of the problem to be solved.
The most important feature of neural models is their
generalization capability, i.e. the capability to provide the
correct response even for the input values not presented to the
neural network in the training process. In that way, the
developed models can be used for a reliable prediction over a
wide range of input parameters.
The noise characteristics of microwave transistors, often
needed for the design of low-noise receiving equipment, are
usually treated in terms of four noise parameters (minimum
noise figure, optimum source reflection coefficient and noise
resistance) that are frequency-, temperature- and bias-
dependent.
Since measurements of noise parameters are complex and
time-consuming procedures, device noise models are usually
used for device noise prediction in the microwave circuit
design. But, most of the existing noise models require
recalculation of elements / parameters of the equivalent circuit
for every operating temperature and bias point, [9]-[11].
The authors of this paper have proposed bias-dependent
device signal and noise models based on neural networks, [8],
[12] and an application of neural networks in the transistor
noise wave models [13].
Recently, the authors have proposed ANNs to be used for
the modeling of noise parameters of MESFETs / HEMTs under
different temperature conditions, [14]-[15]. A noise modeling
technique presented in [14] is based on a combination of an
ANN and an empirical transistor noise model. The ANN is
used for modeling of the temperature dependence of elements
and parameters of transistor noise model equivalent circuit. By
assigning this ANN to the empirical model equivalent circuit, a
temperature dependent noise model is developed. The main
limitation of the model is that its accuracy cannot be higher
than accuracy of the empirical noise model.
The model proposed in this paper belongs to black-box type
neural models. It models dependence of transistor noise
parameters on temperature and frequency. In order to improve
accuracy of modeling, S parameters are introduced as ANN
inputs as well.
The paper is organized as follows. In Section II transistor
noise modeling problem is stated. ANNs are shortly introduced
in Section III. The proposed transistor noise model based on
neural networks is described in Section IV. A modeling
example and the main results are presented in Section V.
Finally, in Section VI the main conclusions are reported.
II. MESFET / HEMT NOISE MODELING
More than fifteen years, an empirical MESFET / HEMT
noise model proposed by Pospieszalski, [11], has been
accepted as one of the most convenient and accurate.
+
Fig. 1. Equivalent circuit of MESFET / HEMT packages
with included noise sources
IEEE MELECON 2006, May 16-19, Benalmádena (Málaga), Spain
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