Prev: .act audio file format
Next: Running TMS320C2812 McBSP as SPI
From: porterboy76 on 29 Sep 2005 08:22
Hello,

I am looking for a quadriphase Barker sequence (a sequence whose
elements are from the set {1,j,-1,-j} and which has a periodic
autocorrelation function whose maximum sidelobe magnitude <= 1). In
particular I am looking for a quadriphase Barker sequence of length 2^K
(integer K). Any help appreciated. (I've Googled a bit, but I can only
find polyphase Barker codes, where "poly" is greater than 4. In
context, I am looking for an easyily implementable synchronisation
sequence).

TIA

Slainte
Porterboy

From: Clay S. Turner on 29 Sep 2005 08:57

<porterboy76(a)yahoo.com> wrote in message
news:1127996535.217014.83710(a)g47g2000cwa.googlegroups.com...
> Hello,
>
> I am looking for a quadriphase Barker sequence (a sequence whose
> elements are from the set {1,j,-1,-j} and which has a periodic
> autocorrelation function whose maximum sidelobe magnitude <= 1). In
> particular I am looking for a quadriphase Barker sequence of length 2^K
> (integer K). Any help appreciated. (I've Googled a bit, but I can only
> find polyphase Barker codes, where "poly" is greater than 4. In
> context, I am looking for an easyily implementable synchronisation
> sequence).

Hello Porterboy,

While this may not be exactly what you want, you may wish to look up
"complementary code keying." I think this will be close to what you want.
This has a lot of the elements of Barker codes with some different
optimality added. These are used in some of the 802.11 versions.

Clay



From: porterboy76 on 29 Sep 2005 10:51
Thanks Clay, I will indeed have a look at complementary code keying.

Just to let you know, I may have been chasing a dead end with my
original question. I just read something called the Mao Conjecture [1]
which says that for N = 0mod4 (which includes N = 2^K), the best
Quadriphase sequences have maximum sidelobe of 2. This means that a
quadriphase barker sequence does not exist for N = 2^K.

[1] H. D. Luke et al, "Binary and quadriphase sequences with optimal
autocorrelation properties: a survey", IEEE Trans. Info Theory, Dec
2003, p. 3271.

 | 
Pages: 1
Prev: .act audio file format
Next: Running TMS320C2812 McBSP as SPI