"Assuming the transmitter and receiver were perfectly clocked in unison, what 
stops the receiver from tuning in in the middle of a byte, thus getting a 
nibble from the current byte and a nibble from the next?"

Nothing.  That is a synchronization task your receiver must perform.  Assuming 
the TX and RX clocks are perfectly synchronized is also an unrealistic  
assumption for wireless links.  Your receiver needs to perform clock recovery 
as well.

You might want to read this:

https://www.researchgate.net/profile/Fred_Harris2/publication/278639495_Let%27s_Assume_the_System_Is_Synchronized/links/55c7b54508aeb9756746e44c.pdf

-Andy

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