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The Scaling of Digital Differential Analyzers

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1 Author(s)
Knudsen, Harold K. ; Lincoln Laboratory, Massachusetts Institute of Technology, Lexington, Mass.

A method for computing the scales needed for programming a digital differential analyzer (DDA) is developed. DDA program (interconnection) maps containing integrators and servos are considered. The scales must satisfy ``equilibrium,'' ``topological,'' and ``boundary'' constraints. These constraints are shown to be equivalent to a set of linear inequalities. Linear programming techniques are used to find both feasible and ``optimal'' scales. The use of linear programming eliminates the need for the usual trial-and-error scaling techniques and makes the scheme amenable to programming on a general-purpose digital computer.

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Electronic Computers, IEEE Transactions on  (Volume:EC-14 ,  Issue: 4 )