Name
Abstract | ||
|---|---|---|
Complex random signals play an increasingly important role in array, communications, and biomedical signal processing and related fields. However, the mathematical foundations of complex-valued signals and tools developed for handling them are scattered in literature. There appears to be a need for a concise, unified, and rigorous treatment of such topics. In this paper such a treatment is provided. Moreover, we establish connections between seemingly unrelated objects such as real differentiability and circularity. In addition, a novel complex-valued extension of Taylor series is presented and a measure for circularity is proposed. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1109/ICASSP.2009.4960396 | ICASSP |
Keywords | Field | DocType |
rigorous treatment,taylor's series,related field,circularity,mathematical foundation,biomedical signal processing,r-differentiability,complex-valued signal,novel complex-valued extension,complex random signal,complex random variable,important role,real differentiability,taylor series,index terms— complex random variables,complex moments,signal processing,probability density function,estimation,statistics,data mining,series mathematics,random processes,random variables,indexing terms,random variable | Signal processing,Random variable,Series (mathematics),Computer science,Stochastic process,Differentiable function,Statistics,Probability density function,Taylor series | Conference |
ISSN | Citations | PageRank |
1520-6149 | 2 | 0.44 |
References | Authors | |
10 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jan Eriksson | 1 | 179 | 15.31 |
| Esa Ollila | 2 | 351 | 33.51 |
| Visa Koivunen | 3 | 1917 | 187.81 |