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Six Sigma for Electronics Design and Manufacturing
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                              Figure 4.1 First-time yield (FTY) IC wire bonding example.


                     nential power expansion [Equation (4.8)], or by independently calcu-
                     lating the total defects in 100 ICs.

                     1. Process defects per wire bond = 100 PPM/1,000,000 = 0.0001
                          Total wire bond opportunities/IC = 512 bonds
                            DPU /IC = 512 · 0.0001 = 0.0512
                          FTY = e –  DPU = e –0.0512  = 0.95 or 95% FTY using the Poisson dis-
                            tribution
                                                        1
                                           n
                     2. Y T = Y A = (1 –  DPU) = (1 – 0.0512) = 0.9488 or 94.88% using
                        power expansion
                     3. FTY actual for 100 ICs = 51,200 bonds @ 0.0001 = 5.12 defects per
                        100 ICs or 94.88% FTY
                     It  can  be  seen  that  the  FTY  actual,  which  is  the  most  accurate,  is
                     closely approximated by the Poisson distribution, and is exactly equal
                     to the power expansion. These differences are small at the 100 PPM
                     level, which is approximately four sigma quality. In the case of poor
                     quality, such as those below two sigma, the differences in the calculat-
                     ed yield among the three methods become large. In that case, using
                     the actual calculations is the most prudent way to obtain the yield.
                     Note that the resultant five defects do not necessarily imply that five
                     ICs are defective; one IC could have more than one defect.

                     4.2.2  Determining assembly yield and PCB and
                     product test levels in electronic products
                     In  typical  electronic  manufacturing  lines,  printed  circuit  boards
                     (PCBs) are assembled and tested individually. Multiple PCBs are then
                     assembled into finished products, which are tested. The test engineers
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