[7] Rise time is an analog parameter of fundamental importance in high speed electronics, since it is a measure of the ability of a circuit to respond to fast input signals.
For applications outside the realm of high speed electronics, long (compared to the attainable state of the art) rise times are sometimes desirable: examples are the dimming of a light, where a longer rise-time results, amongst other things, in a longer life for the bulb, or in the control of analog signals by digital ones by means of an analog switch, where a longer rise time means lower capacitive feedthrough, and thus lower coupling noise to the controlled analog signal lines.
Since every circuit has not only resistance, but also capacitance and inductance, a delay in voltage and/or current at the load is apparent until the steady state is reached.
Finally, he defines the rise time tr by using the second moment All notations and assumptions required for the analysis are listed here.
77–78), this result is a consequence of the central limit theorem and was proved by Wallman (1950):[23][24] however, a detailed analysis of the problem is presented by Petitt & McWhorter (1961, §4–9, pp.