#325 Use a fourth order polynomial to generate

Use a fourth order polynomial to generate - Electrical Engineering

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Use a fourth order polynomial to generate a maximal length PRN using a shift register.

Correlate the sequence with all fifteen of its shifts.

Reverse the taps on the shift register to create a new fourth order polynomial.

Correlate this sequence with the shift register sequence from 1 above.

What is the difference between the polynomial used in the PRN of problem 1 post with the table1 ..

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Free Chegg Answer

Many optical coupling systems have turn on delays not 
exactly equal to turn off delays as you already noticed: 
"..00100.. the 1 appears longer ... ..11011.. the 0 
appears shorter." . In this system, the 1 to 0 delay 
than the 0 to 1 delay. If you are lucky, those delays 
are constent enough to be compensated for. A pulse 
stretcher can be as smiple as a diode, a capacitor, and 
a couple of resistors.

Many line codes seem to meet your criteria, including 
4B5B coding, 8b/10b encoding (or either one of the 3b/4b 
or 5b/6b codes typically used in it) 6b/8b encoding, 
Manchester coding and its variants such as differential 
manchester encoding, three of six, fiber optical, pluse 
position modulation, etc.

Software compensation

I'm guessing you already have some free space optical 
communication hardware set up that is a little quirky, 
and you're trying to compensate for hardware quirks 
entirely in software.

One quick and dirty scheme is:

Send a premble just before sending each packet of data, 
typicaly a "balanced" pattern, perhaps 'U' Characters 
(binary 0101_0101), to help the bit slicer in the 
receive hardware find the appropriate setpoint to 
distinguish between 0 and 1

Send bytes (perhaps using the UART or the SPI perpheral 
in the sender) from a short list that are "easily 
discriminated" at the receiver. I've seen some systems that send only two unique bytes out a UART configured as 8N1 -- 0x00 (i.e., 9 zero bits followed by 1 one bit) and 0xFF (i.e., 1 zero bit followed by 9 one bits.) (They have only 2 bytes in that list.) if you are lucky, you can use a larger list.