摘 要：被動(dòng)探測(cè)的關(guān)鍵技術(shù)之一就是通過(guò)有效的信號(hào)處理方法提取出多接收器的時(shí)間差，而確定時(shí)差最基本的方法是進(jìn)行信號(hào)相關(guān)以獲得估計(jì)信息，相關(guān)算法雖然計(jì)算過(guò)程簡(jiǎn)單，但是算法對(duì)信號(hào)和噪聲頻譜特性要求比較高。基于希爾伯特變換的時(shí)延估計(jì)是廣義相關(guān)時(shí)延估計(jì)方法的拓展，把相關(guān)函數(shù)的對(duì)稱性由偶函數(shù)轉(zhuǎn)化成奇函數(shù)，將相關(guān)法中對(duì)峰值的檢測(cè)轉(zhuǎn)化為對(duì)過(guò)零點(diǎn)的檢測(cè)。通過(guò)對(duì)兩種算法的誤差比較分析，信號(hào)的截至頻率越高，希爾伯特變換法的均方誤差與基本相關(guān)法的均方誤差相差越明顯，估計(jì)誤差越理想，證明Hilbert算法的優(yōu)越性。
關(guān)鍵詞：Hilbert；時(shí)延估計(jì)；誤差分析；相關(guān)算法
文獻(xiàn)標(biāo)志碼：A 文章編號(hào)：1674-5124（2015）12-0014-03
Error analysis of TDE based on correlation Hilbert transform
WANG Feng， LIU Pengyuan， LI Bing
（Foth Department，Ordnance Engineering College，Shijiazhuang 050003，China）
Abstract: Passive detection has the advantages of anti-reconnaissance， strong anti-jamming and concealment. It has become an important direction to raise the capacity of electronic countermeasures. One of the key technologies for passive detection is to extract the time lag through effective signal processing. Relevant method is the most basic information to estimate the time difference. It is the basic theory of all correlative time-delay estimation (TDE) algorithms. Calculation correlation method is simple. But satisfactory results cannot be achieved if the spectrum characteristics of signal and noise are not ideal. Time delay estimation based on Hilbert transform is the expansion of the generalized correlation time-delay estimation method which changes the correlation function from accidental symmetry into odd symmetry. Detecting correlation peak is converted into zero crossing detection. After comparing the error of the two kinds of methods， the higher the cutoff frequency is the more obvious when the differences between the mean squared errors of the two methods are larger. In other words， the estimate is more precise.
Keywords: Hilbert； time-delay estimation； error analyzing； correlation algorithms
