What is a roll off factor?
Roll-off is the steepness of a transfer function with frequency, particularly in electrical network analysis, and most especially in connection with filter circuits in the transition between a passband and a stopband.
What is the roll off factor of an ideal LPF?
A better compromise would be a roll off factor somewhere between 0.25 and 0.5 (B and C). Here the impulse response decays relatively quickly with small lobes, requiring a pulse shaping filter with a small number of taps, while still keeping the required bandwidth reasonable.