Assignment 4

DATA SCRAMBLERS

1 .  What is a maximal length sequence?

2 .  Modulo 2 addition corresponds to the XOR operation. (T/F)

3 .  Define : Irreducible polynomial
                    Primitive polynomial   Are they the same?

4 .  Why are scramblers used in the front ends of digital transmitters?

5 .  h(D)= 1 + D +D^2 + D^3 + D^4
     What is the period of the sequence generator?

6 . Verify 
          h(D)=(1 + D + D^2)(1 + D + D^3)
              = 1 + D^4 + D^5
 
7 . Find the initial states that result in sequences with periods 3,7 using Q 6. above .
     Record the states and corresponding sequences.