PIC for the job is a PIC18F25K22 from a jalunio bee board... full 64 Mhz 
with x4 PLL, it's running at 16Mhz real clock (64/4)

This chip has two SPI modules which will happily sample bits syncronuos to a 
clock signal of up to 16MHz (but it will be tricky to read the received data 
before the next bit arrives).  1MHz should not be a problem.

The chip has 1500 bytes of RAM, that is 12000 bits. You should be able to store 
quite a lot of samples before you have to transmit.

If you connect the USART directly to a low-level-input (like e.g. on a 
Raspberry Pi) you can easily transmit at 1000000 baud or even more. 115200 is 
no "hard limit"

 Greets,
Kiste

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