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Min. Functions Detected - Cum % Column

Description
This column is listed under the Min. Functions Detected label in the Detection Order Table section of the Detection Order Report. Each entry in this column contains the percentage of used functions (at the level of the design specified by the hierarchical expansion) that can be fully proven good by the tests in the detection order up to and including the current test. The Test limits in this column are order-specific; if the detection tests were to be performed in a different order, then each test may have a different Test limit in this column (since additional functions may have been proven good by previous tests in the detection sequence).
 
Calculation
This Test limit can be calculated by taking the number of used functions in the specified Diagnostic Scope that are fully proven good when all tests up to and including the current test have passed, and dividing it by the total number of functions in the design. Functions are counted at the level of the design specified by the hierarchical expansion.
When fault detection is calculated across the entire design (i.e., the Diagnostic Scope is set to <Entire Design>), this metric can be calculated using the following equation:
where
N
=
the total number of used functions (for the current hierarchical expansion)
Xi
=
1 if the ith function has been fully proven good after detection test x has passed
(due either to test x or one of the previously performed tests in the detection order);
0 otherwise
When fault detection is calculated with the Diagnostic Scope restricted to a specific Operating Mode, then this metric is calculated as follows:
where
N
=
the total number of used functions (for the current hierarchical expansion)
Xi
=
1 if the ith function has been fully proven good after detection test x has passed
(this will only happen for functions in the specified Diagnostic Scope); 0 otherwise
Si
=
1 if the ith function is in the Operating Mode specified by the Diagnostic Scope or
if the Scale Statistics to Scope option has been disabled; 0 otherwise
 
Alternatively, this metric can be calculated by summing the Test limits in the Min. Functions Detected % column for all tests up to and including the current test:
where
MinFctnDeti
=
the Test limit in the Min. Functions Detected % column corresponding to ith test in the detection order.
x
=
the position of the current test in the detection order
 
Note: Because this metric is based on functions that are proven good in their entirety (as opposed to partially proven functions), it may not give an adequate impression of a detection sequence's diagnostic capability when  Test Coverage is defined in terms of individual failure modes (which may only represent fractions of functional failures).