Spectrum estimation of interleaved pulse trains

Abstract

Abstract-In this paper, we consider signals consisting of a finite though unknown number of periodic time-interleaved pulse trains. For such signals, we present a novel approach for determining both the number of pulse trains present and the frequency of each pulse train. Our approach requires only the time of arrival data of each pulse. It is robust to noisy time of arrival data and missing pulses and, above all, is very computationally efficient. If N is the number of pulses being processed, the computation required is of the order of N log N.Index Terms-Pulse train analysis.

A new approach to pulse deinterleaving based on adaptive thresholding

“…Nevertheless, the SDIF algorithm [7] and FFT-based method [8] are very common. Other methods have some disadvantages such as being time consuming [12], unreliable in the presence of noise [14], and not suitable for today's harsh circumstances.…”

“…Thus, the modified version was proposed as the sequential differentials (SDIF). In the research by Orsi et al [8], an FFT-based method was proposed to extract pulse repetition frequency (PRF = 1/PRI). Rather than trying to deinterleave a received interleaved pulse train directly, this method focuses solely on determining the number of pulse trains present and the frequency of each pulse train.…”

“…Deinterleaving algorithms are divided into two categories: single parametric [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] and multiple parametric [19][20][21][22][23]. In multiple-parameter algorithms, two or more parameters are used for deinterleaving, while in single-parameter ones, only one parameter is utilized.…”

A wavelet-based feature set for recognizing pulse repetition interval modulation patterns

“…In the literature, deinterleaving pulse trains have been in the focus of many studies in the past years [1][2][3][4][5][6][7][8][9][10]. Several studies were performed on estimation of PRI to construct better deinterleaving algorithms.…”

A new method for detecting jittered PRI in histogram-based methods

“…Moore and Krishnamurthy [5] have formulated the problem as a stochastic discrete-time dynamic linear model (DLM) with fixed look-ahead and probabilistic * Correspondence: sedaaghi@sut.ac.ir teacher Kalman filtering for the estimation task. In the research by Orsi et al [6], an FFT-based method has been proposed to extract pulse repetition frequency (PRF = 1/PRI). It focuses solely on determining the number of pulse trains present and the frequency of each pulse train without actually deinterleaving them.…”