It is wide and complicated question.

It might be about cross-over distortions, it might be about slew rate, it might be about bandwidth, depth of negative feedback or stability. Sometimes even intentional predistortion of the signal might be employed.

The nature of the circuit, network or system will drive the approach required for setting the objectives and goals for optimum transient response. A phase lock loop (PLL) is a fine example as it includes a large class of linear and non linear circuits, both analog and digital, for which optimum transient response is desired. This would include, settling time, frequency overshoot, frequency tuning linearity, harmonics, noise and on and on. I would study the techniques employed in the design of an optimum PLL targeting specific objectives to get a sense of the approaches used in achieving desired signal integrity. Reference sources would include discussions on modulation, demodulation and frequency synthesis.

You can find something in the attachment.

S M Mohiuddin Khan Shiam

Can you be more specific? Usually signal integrity is related to high speed digital signals. In this case, a series of good practices is recommended when designing your digital board in order the interaction of the signals be minimized.

There are also recommendations to avoid the contamination of analog signals, such as keeping separated the analog and digital grounds and using shielding cables.

In my opinion, overshoot and settling time are defined by the parameters of the analog system and not by any issue related to signal integrity, unless the effects of parasitic components.

Look up the definition of signal integrity in Wikipedia and follow along those lines to the last statement...

Some of the main issues of concern for signal integrity are ringing, crosstalk, ground bounce, distortion, signal loss, and power supply noise.

All of the above are issues in the design of phase lock loops and is just one example. Since it is a control system operating with feedback, all the criteria of the above main issues come to influence its circuit design containing both analog and digital elements.