Cyclostationarity: Half a century of research

Gardner, William A.; Napolitano, Antonio; Paura, Luigi

doi:10.1016/j.sigpro.2005.06.016

Cited by 816 publications

(519 citation statements)

References 486 publications

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“…The concept of spectral noise correlations is quite general, and may be considered as the consequence of a cyclostationary noise process [26]. Perhaps it is not surprising then that shot noise is not the only noise source associated with the detection of ultrashort optical pulses that will display a phase/amplitude imbalance on a photonically generated microwave carrier.…”

Section: Discussionmentioning

confidence: 99%

“…[20][21][22][23], a frequency domain description of the shot noise of time-varying signals revealed that spectral correlations explained a reduction in the sensitivity of some gravitational wave detectors. Timevarying shot noise models for vacuum tubes and junction diodes have also been developed [24][25][26][27], where again there are deviations from the standard, stationary shot noise model.…”

Section: Introductionmentioning

confidence: 99%

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Exploiting shot noise correlations in the photodetection of ultrashort optical pulse trains

et al. 2013

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We present a frequency domain model of shot noise in the photodetection of ultrashort optical pulse trains using a time-varying analysis. Shot noise-limited photocurrent power spectral densities, signal-tonoise expressions, and shot noise spectral correlations are derived that explicitly include the finite response of the photodetector. It is shown that the strength of the spectral correlations in the shot noise depends on the optical pulse width, and that these correlations can create orders-of-magnitude imbalance between the shot noise-limited amplitude and phase noise of photonically generated microwave carriers. It is also shown that only by accounting for spectral correlations can shot noise be equated with the fundamental quantum limit in the detection of optical pulse-to-pulse timing jitter.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Exploiting shot noise correlations in the photodetection of ultrashort optical pulse trains

et al. 2013

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“…According to the work of Gardner (Gardner, 1994;Gardner et al, 2006 andGardner, 1987), the theoretic cyclic spectrum of GPS signal (Dandawate and Giannakis, 1994) can be given in Equation (8). Figure 4 illustrates the cyclic spectrum of the GPS signal.…”

Section: Y C Lo S Tat I O N a R I T Y C H A R Ac T E R I S T I C S mentioning

confidence: 99%

GPS Signal Detection under Multiplicative and Additive Noise

Huang

Progri³

2012

J. Navigation

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In some Global Positioning System (GPS) signal propagation environments, especially in the ionosphere and urban areas with heavy multipath, GPS signal encounters not only additive noise but also multiplicative noise. In this paper we compare and contrast the conventional GPS signal acquisition method which focuses on handling GPS signal acquisition with additive noise, with the enhanced GPS signal processing under multiplicative noise by proposing an extension of the GPS detection mechanism, to include the GPS detection model that explains detection of the GPS signal under additive and multiplicative noise. For this purpose, a novel GPS signal detection scheme based on high order cyclostationarity is proposed. The principle is introduced, the GPS signal detection structure is described, the ambiguity of initial PseudoRandom Noise (PRN) code phase and Doppler shift of GPS signal is analysed. From the simulation results, the received GPS signal at low power level, which is degraded by additive and multiplicative noise, can be detected under the condition that the received block of GPS data length is at least 1·6 ms and sampling frequency is at least 5 MHz. K E Y WO R D S 1. Weak GPS Signal Acquisition.2. Multiplicative Noise. 3. Doppler shift. 4. Cyclostationarity.

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“…Considering most man-made signals encountered in communication, telemetry, radar, and sonar systems are quasicyclostationary signals [20]. A random process s(t) can be wide-sense cyclostationary satisfying m s (t) = E{s(t)} and autocorrelation R ss (t, u) = E{s(t)s * (u)} is periodic with some delay, say 1/α:…”

Section: Cyclostationarity Based-whiteningmentioning

confidence: 99%

Improved Blind Source Extraction for Time Delay Estimate in Passive Coherent Location System

Zhang

Wang²,

Li³

et al. 2012

PIER B

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Abstract-Target localization is one challenge in passive coherent location (PCL) radar system, and the time delay is the most important parameter in the location. The difficulty of time delay estimate (TDE) in PCL system is that the target signal is completely buried in direct path signal, multipath and clutter (DMC). The conventional clutter cancellation algorithms in matched filter (MF) are time consuming. In this paper, we propose a time delay estimate method based on blind source extraction (BSE) which directly extract the target signal from the mixed signals, thus a new passive coherent location system is built. In this model, the reference antenna is not needed any more. For low signal to interference plus noise ratio (SINR) and frequency overlapped signals in passive coherent location, we introduce the cyclostationarity to enhance the target signal. The experiments on FM broadcast signals show that the computational burden of the proposed algorithm is extremely small and the improved SNR satisfies the location requirements of PCL system.

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Cyclostationarity: Half a century of research

Cited by 816 publications

References 486 publications

Exploiting shot noise correlations in the photodetection of ultrashort optical pulse trains

Exploiting shot noise correlations in the photodetection of ultrashort optical pulse trains

GPS Signal Detection under Multiplicative and Additive Noise

Improved Blind Source Extraction for Time Delay Estimate in Passive Coherent Location System

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