I think I know what you're talking about.
Pulse pressure = (systolic-diastolic).
When we palpate a pulse, we're feeling that change in pressure that occurs when the heart contracts. If the pulse pressure is stronger, then we feel a stronger pulse and when the pulse pressure is lower, we feel a weaker pulse. The terms that we use to document these would be "bounding," "normal," and "weak."
Now the walls of arteries, depending on where they are located, have a mixture of elastic material and smooth muscles, so when the heart contracts a pressure pluse passes through the arteries and is damped as it moves along.
Now think of a garden hose. If you change the pressure quickly from low to really high, you feel a pulse. If you change it from really low to just low, you might feel the change in the tubing, but may not. On the other hand, if you change it from high to max you will fell the difference, even if it's not as large of a change from very low to low. That's because at higher pressures the artery is stretched more which lowers the ability of the walls to absorb energy from the pulse.