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Text - KFUPM - King Fahd University of Petroleum and Minerals

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Vector SC 1<br />

SC 2<br />

SC 3<br />

SC 4<br />

3<br />

0<br />

0<br />

0<br />

1<br />

X<br />

0<br />

X<br />

1<br />

1<br />

X<br />

0<br />

1<br />

3a<br />

3b<br />

0<br />

X<br />

0<br />

X<br />

0<br />

X<br />

Figure 3.9: Decomposition <strong>of</strong> vector 3 into two vectors 3a <strong>and</strong> 3b<br />

X<br />

X<br />

0<br />

1<br />

X<br />

X<br />

X<br />

1<br />

1<br />

X<br />

X<br />

1<br />

X<br />

X<br />

1<br />

X<br />

0<br />

1<br />

this vector is decomposed into two vectors 3a <strong>and</strong> 3b as shown in Figure 3.9, each<br />

detecting only a subset <strong>of</strong> faults detected by the original vector. The compatibility<br />

graphs <strong>of</strong> these vectors are shown in Figures 3.10 <strong>and</strong> 3.11. The decomposed vectors<br />

satisfy the threshold. Now these decomposed vectors can be merged with the existing<br />

partitions or new partitions can be created if required.<br />

SC1<br />

SC 2<br />

SC3<br />

SC 4<br />

Figure 3.10: Conflict graph for vector 3a<br />

3.5 Proposed Compression Algorithms<br />

The objective <strong>of</strong> the proposed algorithm is to compress the test test using M tester<br />

channels while minimizing the increase in test size (due to decomposition) <strong>and</strong> to-<br />

37

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