Noise analysis of non-autonomous radio frequency circuits

Integrated deterministic and stochastic simulation of electronic circuits: Application to large signal–noise analysis

“…It is argued in [6] that there will always be, in general, a finite amount of correlation between the deterministic and stochastic terms because the fluctuations are never purely delta-correlated. This correlation can be neglected only if the correlation time is small compared with the time scales of the rest of the system, which can be assumed in the special cases of the modelling of genetic and population dynamics (see [8]) or when modelling deltacorrelated white-noise processes in electronic circuits (see [9]), but not in the general case. Also, it is well known that a 1=f noise process is infinitely correlated with its past history [10].…”

Noise macromodel for radio frequency integrated circuits

“…This symbolic representation required fewer elements in the resultant noise analysis matrix than a corresponding numerical computation, and provided our macromodel with the relationship between the design parameters and the noise model. Our macromodel was further simplified by focusing on only the time-averaged power of the cyclostationary noise at the input and output ports of interest, thereby allowing us to model only the stationary noise component [5].…”

“…When the large deterministic signal that causes the system to vary with time is not purely sinusoidal due to the presence of input phase noise, the noise analysis technique in [5] extends the work in [4] to take this effect into account:…”

“…It has been proven that we only need to consider the stationary component of cyclostationary noise in nonautonomous circuits [5]. This leads to our noise macromodeling approach that focuses on the stationary component of cyclostationary noise.…”