Name
Abstract | ||
|---|---|---|
Statistical modeling is at the heart of many engineering problems. The importance of statistical modeling emanates not only from the desire to accurately characterize stochastic events, but also from the fact that distributions are the central models utilized to derive sample processing theories and methods. The generalized Cauchy distribution (GCD) family has a closed-form pdf expression across the whole family as well as algebraic tails, whichmakes it suitable formodeling many real-life impulsive processes. This paper develops a GCD theory-based approach that allows challenging problems to be formulated in a robust fashion. Notably, the proposed framework subsumes generalized Gaussian distribution (GGD) family-based developments, thereby guaranteeing performance improvements over traditional GCD-based problem formulation techniques. This robust framework can be adapted to a variety of applications in signal processing. As examples, we formulate four practical applications under this framework: (1) filtering for power line communications, (2) estimation in sensor networks with noisy channels, (3) reconstruction methods for compressed sensing, and (4) fuzzy clustering. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1155/2010/312989 | EURASIP J. Adv. Sig. Proc. |
Keywords | Field | DocType |
sample processing theory,gcd theory-based approach,proposed framework subsumes,generalized cauchy distribution framework,whole family,gaussian distribution,statistical modeling,robust fashion,robust behavior,robust framework,signal processing,generalized cauchy distribution | Signal processing,Fuzzy clustering,Computer science,Cauchy distribution,Artificial intelligence,Compressed sensing,Mathematical optimization,Algorithm,Filter (signal processing),Statistical model,Stable distribution,Machine learning,Generalized normal distribution | Journal |
Volume | Issue | ISSN |
2010, | 1 | 1687-6180 |
Citations | PageRank | References |
10 | 0.55 | 23 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Rafael E. Carrillo | 1 | 250 | 15.90 |
| Tuncer C. Aysal | 2 | 468 | 26.75 |
| Kenneth E. Barner | 3 | 812 | 70.19 |