Circuit Yield Calculator

Yield calculator is based on my doctoral research work on Monte Carlo analysis of light in compound semiconductor and it helps students understand the concept of tolerances in design which is common to all science and engineering, be it a tolerance of Vth, Tox in electrical engg or linear, spherical or angular tolerances in mechanical engg or pH tolerances of solutions in chemistry. You can define up to 6 variables (2 can be dependent), each varying in a Gaussian or a Uniform manner. You can define up to 3 equations of the form: -0.25 < f(a, b, c, d, e, f) < 0.71 , the result displayed is yield % estimate of variable space when all the equations are simultaneously satisfied. You can use the input pages of the app, but for experienced users, please use an input file, you can use the following format for the input file:

# lines starting with # are comments

# the first line has to say "yield calculator"

yield calculator

# the line starting with T tells the program the # of variables, # of equations, # of samples (max 75000), you can define up to 6 variables (2 dependent) and 3 equations

T, 4, 2, 75000

# variables come first, independent variable format is V, name (cannot be e,E), type G or U, mean, variation (3 sigma)

V, l, G, 3.2E-8, 6.0E-9

# dependent variables depend on the previous variable and the format is V, name, type G or U, mean, variation (3 sigma), dependence

V, t, G, 0.5, 0.05, 0.1

V, o, G, 1.0E-8, 3.0E-9

V, n, G, 0.06, 0.01

# Then come the equations, the format is E, minVal, equation, maxVal

#this may be a saturation current for a critical transistor at minimum length, such as in logic

E, 1.7E-5, (1.725e-11)*(n/o)*(6e-7/l)*(0.6-t)^2, 1.0E-4

#this may be a saturation current for a line buffer transistor at minimum length, such as in I/O

E, 1E-4, (8e-11)*(n/o)*(6e-7/l)*(0.6-t)^2, 5.0E-4

# you can add another equation for transconductance or gain of amplifier