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The size of a circuit is the number of gates it contains and its depth is the maximal length of a path from an input gate to the output gate. There are two major notions of circuit complexity [1] The circuit-size complexity of a Boolean function is the minimal size of any circuit computing .
Numerical Methods: Employed for simulating and solving complex circuits that cannot be solved analytically. Used in computer-aided design tools for electronic circuit design. Vector Calculus: Applied in electromagnetic field theory. Important for understanding the behavior of electromagnetic waves and fields in electronic devices.
A more complex model called Delay Calculation Language, [4] or DCL, calls a user-defined program whenever a delay value is required. This allows arbitrarily complex models to be represented, but raises significant software engineering issues. Logical effort provides a simple delay calculation that accounts for gate sizing and is analytically ...
The circuit is guaranteed not to show any output change in response to an input change before t cd time units (calculated for the whole circuit) have passed. The determination of the contamination delay of a combined circuit requires identifying the shortest path of contamination delays from input to output and by adding each t cd time along ...
Often, an equivalent circuit is sought that simplifies calculation, and more broadly, that is a simplest form of a more complex circuit in order to aid analysis. [1] In its most common form, an equivalent circuit is made up of linear, passive elements. However, more complex equivalent circuits are used that approximate the nonlinear behavior of ...
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The complex gain G of this circuit is then computed by dividing output by input: G = 2 V j ⋅ 1 V = − 2 j . {\displaystyle G={\frac {2\ V}{j\cdot 1\ V}}=-2j.} This (unitless) complex number incorporates both the magnitude of the change in amplitude (as the absolute value ) and the phase change (as the argument ).
Representation of a lumped model consisting of a voltage source and a resistor. The lumped-element model (also called lumped-parameter model, or lumped-component model) is a simplified representation of a physical system or circuit that assumes all components are concentrated at a single point and their behavior can be described by idealized mathematical models.