Abstract/Details

## Distributed hypothesis testing with data compression

Shalaby, Hossam M. H.
University of Maryland, College Park ProQuest Dissertations Publishing,  1991. 9133160.

### Abstract (summary)

We evaluate the performance of several multiterminal detection systems, each of which comprises a central detector and a network of remote sensors. The function of the sensors is to collect data on a random signal source and process this information for transmission to the central detector. Transmission is via noiseless channels of limited capacity, hence data compression is necessary for each sensor. Upon receipt of the transmitted information, the central detector seeks to determine whether the true distribution governing the signal source belongs to a null class $\Pi$ or an alternative class $\Xi$. System optimization is effected under the classical criterion that stipulates minimization of the type II error rate subject to an upper bound $\epsilon$ on the type I error rate. We consider the asymptotic performance--measured by an appropriate error exponents--of five types of systems. The first type has a fixed number of sensors, and processes spatially dependent but temporally independent data of growing sample size in time. Data compression for this type is at rate that tends to zero, and distribution classes $\Pi$ and $\Xi$ each consist of a single element. The second type of system is identical to the first, except for the classes $\Pi$ and $\Xi$, which are composite. The third type of system is a variant of the first which employs fixed-rate data compression. The fourth type is altogether different, in that it employs a variable number of sensors handling independent data of fixed sample size, and inter-sensor communication is effected by two distinct feedback schemes. The fifth type of system is yet another variant of the first in which data exhibit Markovian dependence in time and are compressed by fixed-bit quantizers. In the majority of cases we obtain concise characterizations of the associated error exponents using information-theoretic tools.

### Indexing (details)

Subject
Electrical engineering
Classification
0544: Electrical engineering
Identifier / keyword
Applied sciences; hypothesis testing; multiterminal detection
Title
Distributed hypothesis testing with data compression
Author
Shalaby, Hossam M. H.
Number of pages
136
Degree date
1991
School code
0117
Source
DAI-B 52/06, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
979-8-208-14843-3
University/institution
University of Maryland, College Park
University location
United States -- Maryland
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9133160
ProQuest document ID
304016569