Consider an interpolater that decreases the sampling period from T to T/L, followed by a decimator that increases the sampling period by M, producing an output sequence that has an effective sampling period of T^'=TM/L. By choosing L and M appropriately, we can approach arbitrarily close to any desired ratio of sampling periods. For example, if L=100 and M=101 then T'=1.01T

T is the sampling rate of a sequence.

Explain what happens if you change the sampling rate by a non-integer factor for:

(a) L>M, 

(b) M>L.