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EURASIP Journal on Advances in Signal Processing

, 2017:42

First Online: 02 June 2017Received: 03 December 2016Accepted: 24 April 2017DOI: 10.1186-s13634-017-0469-9

Cite this article as: Ma, X., Liu, D. & Shan, Y. EURASIP J. Adv. Signal Process. 2017 2017: 42. doi:10.1186-s13634-017-0469-9


Intra-pulse modulation recognition under negative signal-to-noise ratio SNR environment is a research challenge. This article presents a robust algorithm for the recognition of 5 types of radar signals with large variation range in the signal parameters in low SNR using the combination of the Short-time Ramanujan Fourier transform ST-RFT and pseudo-Zernike moments invariant features. The ST-RFT provides the time-frequency distribution features for 5 modulations. The pseudo-Zernike moments provide invariance properties that are able to recognize different modulation schemes on different parameter variation conditions from the ST-RFT spectrograms. Simulation results demonstrate that the proposed algorithm achieves the probability of successful recognition PSR of over 90% when SNR is above -5 dB with large variation range in the signal parameters: carrier frequency CF for all considered signals, hop size HS for frequency shift keying FSK signals, and the time-bandwidth product for Linear Frequency Modulation LFM signals.

KeywordsIntra-pulse modulation recognition Pseudo-Zernike moments Short-Time Ramanujan Fourier Transform Probability of successful recognition Abbreviations2DTwo-dimensional

2FSKBinary frequency shift keying

4FSK4-ary frequency shift keying

ASKAmplitude shift keying

ARRAverage recognition rate

BPSKBinary phase shift keying

CFCarrier frequency

CRCode rate

DFTDiscrete Fourier Transform

FBFeature based

FSKFrequency shift keying

GCDGreatest common divisor

HSHop size

HTHough transform

KNNK-nearest neighbour

LFMLinear frequency modulation


M-PSKM-ary phase shift keying

OLROverlap rate


PSKPhase shift keying

PSRProbability of successful recognition

QPSKQuadrature phase shift keying

RSRamanujan sums

RFTRamanujan Fourier Transform

STFTShort-time Fourier transform

ST-RFTShort-Time Ramanujan Fourier Transform

SFSampling frequency

SNRSignal-to-noise ratio

WVDWigner–Ville distribution

Autor: Xiurong Ma - Dan Liu - Yunlong Shan


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