Based on the distinction of two kinds of algebra, the action principle of ECL circuits is analysed. Threshold comparison operations and current switching operation connecting two kinds of algebra systems, in accordance with the interaction between the switching elements and signals, is proposed. According to the discussion of the properties of operations, an algebra system for ECL circuits is established. The design example realising exclusive-OR operation shows that the theory can not only explain the traditional design of ECL circuits in essence, but also develops a simpler design methodology for ECL circuits.
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