Continuous-time equivalents of Welch bound equality sequences
SCIE
SCOPUS
- Title
- Continuous-time equivalents of Welch bound equality sequences
- Authors
- Cho, JH; Gao, W
- Date Issued
- 2005-09
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGI
- Abstract
- The theory developed on the sequence optimization for equal-power code-division multiple-access (CDMA) systems is generalized in this paper. Unlike previous works, where discrete-time or vector channel models are predominantly employed, the overloaded channels are modeled as strictly band-limited, continuous-time multiple-access channels corrupted by additive white Gaussian noise (AWGN). After being posed as a multiple-input/single-output (MISO) joint transmitter and receiver optimization problem with the total mean-squared error (MSE) as the objective functional to be minimized, the variational problem is solved by using a frequency-domain approach. It is shown that there exist continuous-time equivalents of Welch bound equality (CTE-WBE) sequences as the jointly optimum transmit waveforms and that the matched filters are the jointly optimum receivers. The user capacity of the band-limited channels is characterized by a necessary and sufficient condition for the admissibility of users into the system in terms of the channel load, the received signal-to-noise ratio, and the signal-to-interference-plus-noise ratio (SINR) requirement. It is also shown that CTE-WBE sequences achieve the lower bound on the continuous-time equivalent of total squared correlation (CTE-TSC).
- Keywords
- code-division multiple-access (CDMA); frequency-division multiple-access (FDMA); joint transmitter and receiver optimization; time-division multiple-access (TDMA); total squared correlation; user capacity; Welch bound equality (WBE) sequences; SYNCHRONOUS CDMA SYSTEMS; MULTIPLE-ACCESS COMMUNICATION; RECEIVER OPTIMIZATION; PERFORMANCE EVALUATION; JOINT TRANSMITTER; CROSS-CORRELATION; USER CAPACITY; DS-CDMA; OPTIMUM; DESIGN
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/24432
- DOI
- 10.1109/TIT.2005.853323
- ISSN
- 0018-9448
- Article Type
- Article
- Citation
- IEEE TRANSACTIONS ON INFORMATION THEORY, vol. 51, no. 9, page. 3176 - 3185, 2005-09
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