In delta modulator,
the feedback loop try to minimize the
error, the variation of the input signal, (for example,
assume that at t=t0, input is V0 and, t=t1 your input
is V1, then the output will be related to V1-V0). So the system try to generate the differences. For low frequency systems, this is quirte advantageous, because the differences can be very small therefore
the dyanmic range requirement is reduced.
Now in sigma delta modulator, the modulator integrate this differences which is equivalent to filtering which improve the signal to noise ratio of the system. Check the definition of the signal transfer function and noise transfer function, it will make it clearer