Product Maturity 1

5Analysis of Product Performances

Product performance can be analyzed using several types of analysis depending on the phase of the lifecycle.

5.1. Analyses during the design stage

5.1.1. Worst-case analysis

Given a function f of “n” real variables xi, i ∈ [1; n]. The differential of this function denoted by “df” is given by:

[5.1]

The worst-case tolerance of this function is defined by:

[5.2]

Equations [5.1] and [5.2] lead to:

or

or, finally

[5.3]

where represents the sensitivity of function f of variable xi and is defined by:

Consider the case of a voltage generated by a direct reference voltage Ve and a resistive bridge R1 and R2 according to Figure 5.1.

Figure 5.1. Diagram of ...