Use of single-cycle detectors for communication signal interception and feature detection has been shown to be, unlike conventional radiometeric techniques, tolerant to an uncertain noise and interference environment. Work in this dissertation extends the analysis of single-cycle detector (SCD) performance for SCD designs satisfying a certain technical assumption. SCD designs satisfying the technical assumption include carrier feature detectors, but not bit-rate detectors. In particular, methods other than simulation are proposed by which the receiver operating characteristic (ROC) may be evaluated for the case of a cyclostationary signal observed in zero-mean, stationary, white Gaussian noise plus tone interference. An exact, closed form expression is obtained for the single-cycle detector probability of false alarm, {dollar}psb{lcub}fa{rcub}{dollar}. In special cases this expression is easily evaluated. Additional results for {dollar}psb{lcub}fa{rcub}{dollar} are obtained via a generalization of the Gram-Charlier Series. Derivation of the generalized Gram-Charlier Series is included.; The probability of detection, {dollar}psb{lcub}d{rcub}{dollar}, is evaluated using asymptotic arguments. Justification of the use of asymptotic arguments comes directly from work performed in finding {dollar}psb{lcub}fa{rcub}{dollar}. Although the absolute accuracy of this approach is limited by the approximations made, demands on the absolute accuracy of {dollar}psb{lcub}d{rcub}{dollar} are typically minor. A secondary result obtained when finding {dollar}psb{lcub}d{rcub}{dollar} is the asymptotic Gaussianity of the output of narrowband discrete-time linear systems with cyclostationary input signals. The results obtained for {dollar}psb{lcub}d{rcub}{dollar} and {dollar}psb{lcub}fa{rcub}{dollar} are applied to various sample detection problems.
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机译:与传统的辐射计技术不同,单周期检测器用于通信信号拦截和特征检测已被证明可以承受不确定的噪声和干扰环境。本文的工作扩展了对满足特定技术假设的SCD设计的单周期检测器(SCD)性能的分析。满足技术假设的SCD设计包括载波特征检测器,但不包括比特率检测器。尤其是,提出了除仿真之外的方法,通过这些方法可以针对零均值,平稳,高斯白噪声和音调干扰下观测到的循环平稳信号评估接收机的工作特性(ROC)。对于单周期检测器错误警报的概率{dollar} psb {lcub} fa {rcub} {dollar},可以获得精确的闭式表达式。在特殊情况下,此表达式易于评估。 {dollar} psb {lcub} fa {rcub} {dollar}的其他结果是通过对Gram-Charlier级数进行泛化而获得的。包括广义革兰-夏利级数的推导。使用渐近参数评估检测概率{dollar} psb {lcub} d {rcub} {dollar}。使用渐近论证的正当性直接来自寻找{dollar} psb {lcub} fa {rcub} {dollar}的工作。尽管此方法的绝对精度受制于近似值,但对{dollar} psb {lcub} d {rcub} {dollar}的绝对精度的要求通常很小。找到{psb {lcb} d {rcub} {dollar}时获得的次要结果是具有循环平稳输入信号的窄带离散时间线性系统的输出的渐近高斯性。将{dollar} psb {lcub} d {rcub} {dollar}和{dollar} psb {lcub} fa {rcub} {dollar}获得的结果应用于各种样本检测问题。
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