Verification of Mixed-Signal Systems with Affine Arithmetic Assertions

Table 3

Time and frequency domain formulas (TBF and FBF).

TBF	FBF
𝑠•𝑑∈TBF	{GFIN,FIN}𝑓1,𝑓2,FFT⟨𝑁⟩𝛽,𝛾∈FBF
𝑠 - affine signal, 𝑑∈ℝ	𝑓1,𝑓2∈ℝ, N ∈ ℕ, β-affine signal, 𝛾∈AAF
DV(𝑠)•𝑑∈TBF	IN𝜁,𝜓∈FBF
𝑠, affine signal, 𝑑∈ℝ	𝜁∈FF,𝜓∈AAF
IN{[time]}𝜑,𝜗∈TBF	𝑐•𝑑∈FBF
𝜑∈{𝑠, DV(𝑠)},time∈AAF,𝜗∈AAF	𝑐∈FF∧𝑑∈ℝ