Spread spectrum encoding and decoding
A method for communicating comprises generating at least one generalized Golay code from a concatenation of constituent Golay codes, and spreading at least a portion of a data stream with the at least one generalized Golay code. Generalized Golay codes comprise pseudo-complementary sequences having code lengths that differ from Golay complementary sequences and are characterized by low autocorrelation sidelobes relative to the autocorrelation peak.
1. A method for communication, comprising:
generating at least one generalized Golay code from a concatenation of a plurality of constituent Golay codes, the at least one generalized Golay code having a length N expressed by
N
=
∑
k
=
1
K
2
M
k
,
where K≧2 is the number of constituent Golay codes, each k th constituent Golay code has length 2 M k , and N does not equal any Golay complementary pair length; and
spreading at least a portion of a data stream with the at least one generalized Golay code.
2. The method of claim 1 , wherein the number of constituent Golay codes is two.
3. The method of claim 1 , wherein the constituent Golay codes comprise Golay codes of a plurality of types, Golay codes constructed from a plurality of seed vectors, or Golay codes constructed from a plurality of delay vectors.
4. The method of claim 1 , wherein the data stream comprises a payload, a header, and a preamble having one or more fields, and wherein the portion of the data stream comprises the payload, the header, or at least one field of the preamble.
5. A method for communication, comprising:
receiving a spread data stream; and
despreading at least a portion of the spread data stream using a generalized Golay correlator configured for generating at least one generalized Golay code having a length N expressed by
N
=
∑
k
=
1
K
2
M
k
,
where K≧2 is a number of constituent Golay codes, wherein each k th constituent Golay code has length 2 M k , and N does not equal any Golay complementary pair length.
6. The method in claim 5 , wherein the generalized Golay correlator comprises a plurality of efficient Golay correlators.
7. The method in claim 5 , wherein the generalized Golay correlator is a serial generalized Golay correlator.
8. The method in claim 5 , wherein the generalized Golay correlator is a parallel generalized Golay correlator.
9. The method in claim 5 , wherein the data stream comprises a payload, a header, and a preamble having one or more fields, and wherein the portion of the data stream comprises the payload, the header, or one or more fields of the preamble.
10. An apparatus for communications, comprising:
a generator for generating at least one generalized Golay code from a concatenation of a plurality of constituent Golay codes, the at least one generalized Golay code having a length N expressed by
N
=
∑
k
=
1
K
2
M
k
,
where K≧2 is the number of constituent Golay codes, each k th constituent Golay code has length 2 M k , and N does not equal any Golay complementary pair length; and
a spreader for spreading at least a portion of a data stream with the at least one generalized Golay code.
11. The apparatus of claim 10 , wherein the number of constituent Golay codes is two.
12. The apparatus of claim 10 , wherein the constituent Golay codes comprise Golay codes of a plurality of types, Golay codes constructed from a plurality of seed vectors, or Golay codes constructed from a plurality of delay vectors.
13. The apparatus of claim 10 , wherein the data stream comprises a payload, a header, and a preamble having one or more fields, and wherein the portion of the data stream comprises the payload, the header, or at least one field of the preamble.
14. An apparatus for communication, comprising:
a receiver for receiving a spread data stream; and
a despreader comprising a generalized Golay correlator for despreading at least a portion of the spread data stream, the generalized Golay correlator configured for generating at least one generalized Golay code having a length N expressed by
N
=
∑
k
=
1
K
2
M
k
,
where K≧2 is a number of constituent Golay codes, wherein each k th constituent Golay code has length 2 M k , and N does not equal any Golay complementary pair length.
15. The apparatus in claim 14 , wherein the generalized Golay correlator comprises a plurality of efficient Golay correlators.
16. The apparatus in claim 14 , wherein the generalized Golay correlator is a serial generalized Golay correlator.
17. The apparatus in claim 14 , wherein the generalized Golay correlator is a parallel generalized Golay correlator.
18. The apparatus in claim 14 , wherein the data stream comprises a payload, a header, and a preamble having one or more fields, and wherein the portion of the data stream comprises the payload, the header, and one or more fields of the preamble.