“…Since in practice, the amplifier or mixer bloc should work close to the impedance matching conditions, we will assume that the incident waveform ( ) 2 a t at the output, will be relatively small, so that the relation defined by equation (3) a t and the assumption of short memory duration of the circuit bloc as compared to the signal envelope speed (that is usually valid in narrow modulation bandwidth applications), we may limit the power expansion to first order, and straightforwardly derive the following expression of reflected waveforms. We may observe that (4) is an extension of the model expression reported in [4], that handles both input and output impedance mismatch, through the dependence to both input and output incident waves. The circuit bloc is thus characterized by the static Volterra kernels Ω Ω Equation (5) defines the notion of nonlinear S parameters.…”