Hopefully this helps (emphasis mine):
> Multiplicative scramblers (also known as feed-through) are called so because they perform a multiplication of the input signal by the scrambler's transfer function in Z-space. They are discrete linear time-invariant systems. A multiplicative scrambler is recursive, and a multiplicative descrambler is non-recursive. **Unlike additive scramblers, multiplicative scramblers do not need the frame synchronization, that is why they are also called self-synchronizing.** Multiplicative scrambler/descrambler is defined similarly by a polynomial, which is also a transfer function of the descrambler.
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