Simplified Direct Search Method for Constrained Nonlinear Mixed-Integer Programming of Two-Dwell Serial Acquisition Schemes

Author

Xiao, Zhenyu ; Jin, Depeng ; Su, Li ; Zeng, Lieguang

Author_Institution

State Key Lab. on Microwave & Digital Commun., Tsinghua Univ., Beijing, China

Volume

15

Issue

6

fYear

2011

fDate

6/1/2011 12:00:00 AM

Firstpage

674

Lastpage

676

Abstract

We study constrained optimization of two-dwell serial acquisition schemes in this letter. A noncoherent detector with full-period correlation (FPC) is investigated. The mathematical problem is to minimize a cost function (the mean acquisition time) depending on four parameters (two dwell durations and two thresholds) with two constraints (the false alarm probability and the miss detection probability), which is a nonlinear mixed-integer programming (NLMIP) problem. The contribution of this letter is to simplify the expressions of the cost function and constraints, and to narrow the search range, so as to make the direct search method applicable to solve this NLMIP problem.

Keywords

correlation theory; integer programming; nonlinear programming; signal detection; NLMIP; constrained optimization; cost function; direct search method; full-period correlation; mixed-integer programming; noncoherent detector; nonlinear programming; two-dwell serial acquisition schemes; Approximation methods; Complexity theory; Correlation; Detectors; Optimization; Programming; Search methods; Acquisition; NLMIP; NLP; code synchronization; constrained optimization; nonlinear programming;

fLanguage

English

Journal_Title

Communications Letters, IEEE

Publisher

ieee

ISSN

1089-7798

Type

jour

DOI

10.1109/LCOMM.2011.050311.102216

Filename

5764929