Abstract
A unified technique for mathematical modelling of the input output characteristics of nonlinear electronic circuits is presented. This technique can be easily implemented using simple hand computations without recourse to standard curve-fitting techniques, which invariably requires extensive computing facilities and well-developed software. The mathematical model, basically a sine-series function, can easily yield closed-form series expressions for the amplitudes of the output components resulting from a multisinusoidal input signal to nonlinear electronic circuits. The technique is very helpful in analysing nonlinear electronic circuits under different scenarios of input signals.
Highlights
Electronic circuits incorporating active devices are inherently nonlinear
2. can yield closed-form expressions for the amplitudes of the harmonic and intermodulation products resulting from a nonlinear electronic circuit excited by a large number of sinusoidal inputs
A simple, yet powerful, technique has been presented for obtaining a mathematical model for the nonlinear input-output characteristic of electronic circuits
Summary
Electronic circuits incorporating active devices are inherently nonlinear. While this inherent nonlinearity is, generally,considered to be a disadvantage for example in amplifiers and filters, in some applications it may be used to advantage for example in mixers and detectors. A fourth procedure, which is not widely used in the literature, uses a sine-series function to represent the nonlinear input-output characteristic of the electronic circuit[16] This technique is attractive since a low-order sine-series function can yield the magnitudes of harmonics and intermodulation products of any order. 2. can yield closed-form expressions for the amplitudes of the harmonic and intermodulation products resulting from a nonlinear electronic circuit excited by a large number of sinusoidal inputs This allows the analysis of a wide variety of electronic circuits under different scenarios of input signals. The proposed technique is based on representing the nonlinear input-output characteristic by a sine-series function The coefficients of this sine-series function can be obtained using simple hand calculations without recourse to standard curve-fitting techniques
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