Abstract | ||
---|---|---|
In this paper, coherent detection for multilevel correlated signaling sets in additive white Gaussian noise is addressed. From the decision rule, a general analytical expression for the symbol error probability (SEP) is derived, which is in the form of a single integral. Our new result is not only in agreement with a known equivalent expression, but it also has a much simpler analytical form. The structure of the correlation matrix under consideration of the signaling set is quite generic, including various known signaling sets as special cases. Hence the derived SEP expression is useful for analyzing the performance of various coherent modulation schemes such as multilevel phase-shift and frequency-shift keying. Specific correlation structures which minimize the SEP are also studied. Based on eigendecomposition or LU decomposition, generic methods for constructing a correlated signaling set for any correlation matrix under consideration are also provided. |
Year | DOI | Venue |
---|---|---|
2010 | 10.1109/TCOMM.2010.08.090262 | IEEE Transactions on Communications |
Keywords | Field | DocType |
correlation structure,error rate performance,ary frequency-shift,lv decomposition,specific correlation structure,correlation matrix,multilevel signal,associated correlation matrix,analytical expression,additive white gaussian noise,generic method,coherent detection,coherence,decision rule,matrix decomposition,error rate,covariance matrix,frequency shift keying,modulation,signal detection,awgn,correlation,phase shift,probability,eigendecomposition | Detection theory,Computer science,Keying,Word error rate,Matrix decomposition,Algorithm,Real-time computing,Theoretical computer science,Eigendecomposition of a matrix,Covariance matrix,Additive white Gaussian noise,LU decomposition | Journal |
Volume | Issue | ISSN |
58 | 8 | 1930-529X |
ISBN | Citations | PageRank |
978-1-4244-2324-8 | 0 | 0.34 |
References | Authors | |
6 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Nikos C. Sagias | 1 | 453 | 39.91 |
Ranjan K. Mallik | 2 | 1114 | 96.29 |
George S. Tombras | 3 | 401 | 43.59 |