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8 Feb 2012 ... Javadocs ... Example DataMatrix symbol (rectangular) ... This feature is particularly useful if you want to generate DataMatrix symbols for the ...

algorithm is available that collects these factors into a single metric, in this case called the complexity index (CI). It is given in Eq. 19.11. Complexity Index = where (Area) (Holes/unit area)^2 (no. Layers)^3 ^ (Min. trace width) (Min.annular ring) (Min. hole dia.) (19.11)

Area = top area of the substrate to be designed Holes = total number of drilled holes, blind, buried, and through Holes/unit area = holes divided by board Area Trace width = the minimum trace width on the substrate Layers = the total number of layers in the substrate Annular ring = 1/2 the difference between the via land and the hole dia. Hole dia. = finished hole size Area, number of holes, minimum trace width, number of layers, and minimum tolerance (absolute number) are the factors of the board being designed

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15 Feb 2008 ... Matrix codes, on the other hand, tend to use square or circular dots instead of ... In 2004, PDF417's creator Symbol Technologies issued a press release ... the trendiest formats today are without a doubt Data Matrix (DM) and Quick ... Barcode4J is an open source Java app that generates both 1-D and 2-D ...

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19.5.2.1 First-Pass Yield. The first-pass yield equation derives from the Wiebel probability failure equations.11 Equation 19.12 is of a more general form of the equation typically used to predict ASIC yields by defect density. FPY% = 100 Exp[(log CI/A)^B] (19.12)

To determine the constants A and B in Eq. 19.12, a fabricator will need to characterize their manufacturing process. Selecting a number of printed circuits currently being produced that have various complexity indexes does this, ideally some low, medium, and high. The first-pass yield (at electrical test without repair) of these printed circuits for several production runs is recorded. Any statistical software program12 that has a model-based regression analysis can now determine A and B from the model (Eq. 19.13). FPY = f[ ] = 100 EXP{LOG(complexity PARM[1])^PARM[2]} where PARM[1] = A PARM[2] = B (19.13)

The Riemann tensor can be used to derive two more quantities that are used to de ne the Einstein tensor. The rst of these is the Ricci tensor, which is calculated from the Riemann tensor by contraction on the rst and third indices: Rab = R c acb (4.46)

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The first-pass yield will follow the examples in Fig. 19.14. Constant A determines the slope of the inflection of the yield curve, whereas constant B determines the x-axis point of the inflection.

1E10

1E12

1E14

1E16

Alternatively, any spreadsheet can be used to determine constants A and B. The [REGR] function in a spreadsheet like ExcelTM or Lotus 1-2-3TM is used. The [REGR] function is defined as: (=LINEST(known_y s,known_x s,TRUE,TRUE). To use this function, you must first put the FPY function into the form y = Ax + B. This is done by creating two columns: complexity index (which we will call X1) and yield. A third column is created for {log[log(X1)]}, whereas a fourth column is created for {log[ln(-yield/100)]}. Provide the regression function with column 4 as known_ys and column 3 as known_xs. The regression function will return 10 values; FIT (slope & int.), sig-M (slope & int.), r2, sig-B(slope & int.), F,df (slope & int.), and reg sum sq (slope & int.). The constant B is equal to the FIT (slope) and the constant A is 10^[ FIT(int.)/FIT(slope)]. (Remember, to calculate an array, follow these steps: highlight the array on the spreadsheet; type the array formula, making sure that the cursor is in the edit bar; then press CTRL + SHIFT + ENTER.) 19.5.2.2 Yield Calculation Steps. six steps: To calculate the first-pass yield coefficients, there are

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1. Collect design attributes of 10 to 15 currently running boards with various size and layers (see Table 19.4). 2. Collect the first-pass yield information for these selected boards, at least 10 runs (see Table 19.5).

TABLE 19.4 Example of PCB Part Information and Calculated Complexity Index PCS SIZE Length Width (in.) (in.) 11.500 11.500 6.050 5.210 6.050 7.240 11.460 9.600 11.790 12.780 6.050 5.380 1.250 9.210 8.900 1.090 4.330 1.410 11.460 6.510 10.370 9.490 4.200 1.455 5.670 2.660 Min. Trace width (mil.) 6 5 6 6 6 5 6 5 5 6 6 7 7 Min. Annular ring (mil.) 4 5 5 5 5 5 5 5 5 5 5 5 8 Min. Hole size (mil.) 12 8 12 10 14 14 8 13 12 10 14 18 14

P/N #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 #11 #12 #13

Thickness (mil.) 82.7 62.0 46.2 72.4 50.0 61.9 61.9 47.0 62.0 62.0 50.0 55.1 32.0

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