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Here, the contamination delay is the amount of time needed for a change in the flip-flop clock input to result in the initial change at the flip-flop output (Q). If there is insufficient delay from the output of the first flip-flop to the input of the second, the input may change before the hold time has passed. Because the second flip-flop is ...
When the delay through the elements is greater than the clock cycle time, the elements are said to be on the critical path. The circuit will not function when the path delay exceeds the clock cycle delay so modifying the circuit to remove the timing failure (and eliminate the critical path) is an important part of the logic design engineer's task.
The initial formulation of the retiming problem as described by Leiserson and Saxe is as follows. Given a directed graph:= (,) whose vertices represent logic gates or combinational delay elements in a circuit, assume there is a directed edge := (,) between two elements that are connected directly or through one or more registers.
Delay calculation is the term used in integrated circuit design for the calculation of the gate delay of a single logic gate and the wires attached to it. By contrast, static timing analysis computes the delays of entire paths, using delay calculation to determine the delay of each gate and wire.
An active circuit used for such a purpose is known as a repeater. In a CMOS integrated circuit, the repeater is often a simple inverter. Reducing the delay of a wire by cutting it in half and inserting a repeater is known as repeater insertion. The cost of this procedure is the additional new delay through the repeater itself, plus power cost ...
The signal delay of a wire or other circuit, measured as group delay or phase delay or the effective propagation delay of a digital transition, may be dominated by resistive-capacitive effects, depending on the distance and other parameters, or may alternatively be dominated by inductive, wave, and speed of light effects in other realms.
The group delay and phase delay properties of a linear time-invariant (LTI) system are functions of frequency, giving the time from when a frequency component of a time varying physical quantity—for example a voltage signal—appears at the LTI system input, to the time when a copy of that same frequency component—perhaps of a different physical phenomenon—appears at the LTI system output.
A series of resistor–capacitor circuits (RC circuits) can be cascaded to form a delay. A long transmission line can also provide a delay element. The delay time of an analog delay line may be only a few nanoseconds or several milliseconds, limited by the practical size of the physical medium used to delay the signal and the propagation speed ...