Abstract
Complex vector fitting (CVF) is a robust method to efficiently and accurately model general linear and passive baseband systems. Such models are important for the analysis and design of modern electronic and optical communication systems. This letter introduces an efficient toolbox implementation of the CVF algorithm. The effectiveness of the code is illustrated on a suitable application example.
Highlights
Due to the increasing demand for performance, the channel bandwidth of modern telecommunication systems is progressively increasing
The baseband equivalent representation of signals and systems is widely used to simplify the modulation, demodulation and filtering processes typically adopted in communication systems [1]
The complex vector fitting (CVF) technique [2, 3] extends the application of the baseband equivalent representation to radio frequency (RF) analog devices, which are fundamental parts of modern communication systems, leading to a comprehensive, accurate and efficient modelling framework for baseband systems
Summary
Due to the increasing demand for performance, the channel bandwidth of modern telecommunication systems is progressively increasing. It is important to remark that given the relation among bandpass and baseband transfer functions in Equation (3), bandpass scattering parameters can be represented via a baseband CVF model for frequencydomain analyses In this case, CVF offers a significant advantage: it is able to compute (indicatively) half-size models with respect to VF for the same applications since complex poles and residues do not form conjugate pairs. Passivity requires that the maximum singular value of the scattering parameters is bound by unity at all frequencies (a detailed derivation of the passivity conditions of baseband systems is presented in [5]) This condition can be verified by checking the eigenvalues of the following Hamiltonian matrix [3]:.
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