Student Support Forum: 'Walsh Function, Hadamard Matrix, PN Sequence' topicStudent Support Forum > General > Archives > "Walsh Function, Hadamard Matrix, PN Sequence"
| Author |
Comment/Response |
ed
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 02/18/05 5:49pm
How do you create a recursive Matrix form like the Hadamard Matrix (Used for generating the Walsh Function) in mathematica?
Walsh Function :
W[0] = {0}
W[4] = {{0,0},{0,1}}
W[2n] = {{W[n],W[n]},{W[n], ~W[n]}}
where ~W[n] is the complement of W[n] i.e. where W[n] is 0, ~W[n] is a 1 and vice versa.
W[8] = {{W[4],W[4]},{W[4], ~W[4]}}
~W[4] = {{1,1},{1,0}}
Also, how do you design a Linear Feedback Shift Register in Mathematica? I want to implement a basic PN Sequence and demonstrate its properties like maximum lenght and co.
for an arbitrary prime polynomial in the GF2N field.
example x^7 + x^2 + 1, where addition is modulo 2 is the PN sequence and this is used to create an m-sequence. How do I do this in mathematica?
An helpfull hint will be appreciated.
Thanks.
Ed.
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