Abstract: A construction for a family, AM2, of sequences over A/2-QAM, M = 2m, of length N = 2r - 1, family size (N+ 1)/2m-1 and maximum nontrivial normalized correlation parameter bounded by dmax S V5v~N is presented. Apart from low correlation values, the family possesses several interesting and useful features. In Family AM2, users have an ability to transmit 2m bits of data per period of the spreading sequence. The Euclidean distance between the signals assigned to a particular user, corresponding to different data symbols, is larger than the corresponding value for the case when M2-PSK, M= 2m, modulation and spreading is used. Family AM2 permits users on the reverse link of a CDMA system to communicate asynchronously at varying data rates by switching between different QAM constellations. Family AM2 is compatible with QPSK sequence families S(p) in the sense that the maximum correlation magnitude is increased only slightly if one adds sequences from S(p) / S(0) to Family AM2. Also included are constructions for large families of sequences over the A/2-QAM alphabet and families of orthogonal sequences over the M2-QAM alphabet.
&i'""'£/-i} °f size I ranging from 1 to X (b) Assigning to each user a distinct subset; if this subset is of size I then that user will have 4' -QAM as the signal constellation and be able to transmit at data rate of 21 bit per sequence period wherein varying the partitioning of the Teichmuller set impacts the rate of transmission with a corresponding alteration in 11. A system of claim 1 wherein the sequences generated can co-exist with quaternary families of sequences. 12. An apparatus to enable users to communicate on the reverse link of a CDMA system comprising: 0+-9 (c) An encoder for encoding by means of / quaternary shift registers, the constituent quaternary sequences uk(t),k = 0,1,-■•,m-l which when weighted according to the expression m-l I2' U=o will generate the signal to be transmitted to generate one or more sequences over the M2 -QAM constellation, M = 2M wherein the M2 -QAM constellation is the set {a +ib | -M +1 < a,b < M-\,a,b odd} such that the new family of sequences will be called Family Qul (b) A decoder for decoding by correlations involving signals generated by quaternary shift register. 13. An apparatus of claim 12 wherein the family of sequences generated, Family Qul has the features of: i. users can transmit 2m bits of data per sequence period in Family Qul; ii. distinct users can be assigned sequences from any of the families in the set {QM1,M = 2;4;..} in accordance with their rate requirements such that this obliterates the need for separate channelization and spreading codes; and iii.in both of the above cases, the maximum magnitude of correlation between sequences assigned to distinct users can be bounded. 14. A method to enable users to communicate on the reverse link of a CMDA system including the steps of: Constructing a new family of sequences over the M2 -QAM constellation, M = 2m where the M2 -QAM constellation is the set {a+ib | -M +1 < a, b < M -1, a, b odd } alternatively referred to as the Family Qm2 . Dated this 25th day of September
| # | Name | Date |
|---|---|---|
| 1 | 1758-CHE-2006 ABSTRACT.pdf | 2011-11-30 |
| 1 | 1758-CHE-2006 FORM-13 19-03-2009.pdf | 2009-03-19 |
| 2 | 1758-CHE-2006 CLAIMS.pdf | 2011-11-30 |
| 2 | 1758-che-2006-form 3.pdf | 2011-09-03 |
| 3 | 1758-che-2006-form 26.pdf | 2011-09-03 |
| 3 | 1758-CHE-2006 CORRESPONDENCE OTHERS.pdf | 2011-11-30 |
| 4 | 1758-che-2006-form 1.pdf | 2011-09-03 |
| 4 | 1758-CHE-2006 DESCRIPTION (COMPLETE).pdf | 2011-11-30 |
| 5 | 1758-che-2006-drawings.pdf | 2011-09-03 |
| 5 | 1758-CHE-2006 DRAWINGS.pdf | 2011-11-30 |
| 6 | 1758-che-2006-description(provisional).pdf | 2011-09-03 |
| 6 | 1758-CHE-2006 FORM-1.pdf | 2011-11-30 |
| 7 | 1758-che-2006-correspondnece-others.pdf | 2011-09-03 |
| 7 | 1758-CHE-2006 FORM-13.pdf | 2011-11-30 |
| 8 | 1758-CHE-2006 FORM-5.pdf | 2011-11-30 |
| 8 | 1758-che-2006-abstract.pdf | 2011-09-03 |
| 9 | 1758-CHE-2006 POWER OF ATTORNEY.pdf | 2011-11-30 |
| 10 | 1758-che-2006-abstract.pdf | 2011-09-03 |
| 10 | 1758-CHE-2006 FORM-5.pdf | 2011-11-30 |
| 11 | 1758-che-2006-correspondnece-others.pdf | 2011-09-03 |
| 11 | 1758-CHE-2006 FORM-13.pdf | 2011-11-30 |
| 12 | 1758-che-2006-description(provisional).pdf | 2011-09-03 |
| 12 | 1758-CHE-2006 FORM-1.pdf | 2011-11-30 |
| 13 | 1758-che-2006-drawings.pdf | 2011-09-03 |
| 13 | 1758-CHE-2006 DRAWINGS.pdf | 2011-11-30 |
| 14 | 1758-che-2006-form 1.pdf | 2011-09-03 |
| 14 | 1758-CHE-2006 DESCRIPTION (COMPLETE).pdf | 2011-11-30 |
| 15 | 1758-che-2006-form 26.pdf | 2011-09-03 |
| 15 | 1758-CHE-2006 CORRESPONDENCE OTHERS.pdf | 2011-11-30 |
| 16 | 1758-che-2006-form 3.pdf | 2011-09-03 |
| 16 | 1758-CHE-2006 CLAIMS.pdf | 2011-11-30 |
| 17 | 1758-CHE-2006 FORM-13 19-03-2009.pdf | 2009-03-19 |
| 17 | 1758-CHE-2006 ABSTRACT.pdf | 2011-11-30 |