An Introduction to the Theory of Random Signals and Noise

Davenport, Wilbur B.; Root, William L.

doi:10.1109/9780470544143

Cited by 432 publications

(380 citation statements)

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“…For our detector array this width is dominated by fluctuations in the number of electrons produced at the photo-cathode of the VPD, which in turn is dominated by γ-ray counting statistics when the beam is on. During beam on measurements, the shot noise RMS width is then given by [58] …”

Section: B γ-Ray Counting Statisticsmentioning

confidence: 99%

Measurement of parity-violatingγ-ray asymmetry in the capture of polarized cold neutrons on protons

et al. 2011

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The NPDGamma collaboration reports results from the first phase of a measurement of the parity violating up-down asymmetry Aγ with respect to the neutron spin direction of γ-rays emitted in the reaction n + p → d + γ using the capture of polarized cold neutrons on the protons in a liquid parahydrogen target. One expects parity-odd effects in the hadronic weak interaction (HWI) between nucleons to be induced by the weak interaction between quarks. Aγ in n + p → d + γ is dominated by a ∆I = 1, 3 S1 − 3 P1 parity-odd transition amplitude in the n-p system. The first phase of the measurement was completed at the Los Alamos Neutron Science Center spallation source (LANSCE) with the result Aγ = (−1.2 ± 2.1 stat. ± 0.2 sys.) × 10 −7 . We also report the first measurement of an upper limit for the parity allowed left right asymmetry in this reaction, with the result Aγ,LR = (−1.8 ± 1.9 stat. ± 0.2 sys.) × 10 −7 . In this paper we give a detailed report on the theoretical background, experimental setup, measurements, extraction of the parity-odd and parity-allowed asymmetries, analysis of potential systematic effects, and the LANSCE results. The asymmetry has an estimated size of 5 × 10 −8 and the aim of the NPDGamma collaboration is to measure it to 1 × 10 −8 . The second phase of the measurement will be performed at the Spallation Neutron Source (SNS) at Oak Ridge National Laboratory.

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Section: B γ-Ray Counting Statisticsmentioning

confidence: 99%

Measurement of parity-violatingγ-ray asymmetry in the capture of polarized cold neutrons on protons

et al. 2011

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“…5 the dashed line shows the calculation of CMDS without a variable shift from our previous paper 6) , and the bold line shows the calculation of CMDS using the variable shift shown in Eq. (15). We found that the CMDS error calculated with a variable shift was reduced and became flat.…”

Section: Results Of Theoretical Error Analysismentioning

confidence: 69%

“…(18), and the measurement errors of CNDS, CHDS and CMDS using a fixed range of ambiguity velocity are obtained from Eqs. (9), (10) and (15). Figure 6 shows some comparative results of standard deviation of measurement errors among CNDS, CMDS using fixed ambiguity, CHDS, and CMDS using the adaptive algorithm.…”

Section: Results Of Theoretical Error Analysismentioning

confidence: 99%

Measurement Error Analysis of Combined Doppler Sonar Using Adaptive Algorithm

Liu

Kouguchi

2015

J. Marine Acoust. Soc. Jpn.

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Abstract:This paper presents a measurement method combining conventional and coherent Doppler sonar using an adaptive algorithm to reduce measurement error at a wide range of SNRs. In our previous paper, we proposed a combined method to provide accurate and precise velocity using a fixed range of ambiguity velocity. The combined method worked well at high SNRs, but at low SNRs it was not as accurate. In order to provide accurate velocity at a wide range of SNRs, an adaptive algorithm for the range of ambiguity velocity is proposed at navigators' request. The results of theoretical and numerical error analyses showed that the combined method using the adaptive algorithm provides accurate and precise velocities at a wide range of SNRs.

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“…It may therefore be desirable, as a preprocessing step, to be able to increase this SNR R. Yet, it is known that no linear filter is able to improve (increase) such an SNR R. This is because a linear filter multiplies both the spectral line and the noise background at ν s by the same factor, the squared modulus of its transfer function at ν s [9]. As a consequence, any linear filter, whatever its complexity or its high order, leaves the SNR R unchanged.…”

Section: Introductionmentioning

confidence: 99%

“…A narrowband filter at ν s used to extract the harmonic component will have an efficacy directly increasing with this SNR R [9]. It may therefore be desirable, as a preprocessing step, to be able to increase this SNR R. Yet, it is known that no linear filter is able to improve (increase) such an SNR R. This is because a linear filter multiplies both the spectral line and the noise background at ν s by the same factor, the squared modulus of its transfer function at ν s [9].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Devices Acting as SNR Amplifiers for a Harmonic Signal in Noise

Chapeau‐Blondeau

Rousseau

2006

Circuits Syst Signal Process

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Abstract. A harmonic signal corrupted by an additive white noise is processed by an arbitrary memoryless nonlinear device. The transformation of the signal-to-noise ratio (SNR) by the nonlinearity is explicitly computed and analyzed for Gaussian and non-Gaussian noise. Simple nonlinearities, easily implementable as electronic circuits, are shown capable of producing an amplification of the SNR. Such an amplification is not obtainable with linear filters, whatever their complexity or high order, but becomes easily accessible with simple nonlinear devices.

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An Introduction to the Theory of Random Signals and Noise

Cited by 432 publications

References 0 publications

Measurement of parity-violatingγ-ray asymmetry in the capture of polarized cold neutrons on protons

Measurement of parity-violatingγ-ray asymmetry in the capture of polarized cold neutrons on protons

Measurement Error Analysis of Combined Doppler Sonar Using Adaptive Algorithm

Nonlinear Devices Acting as SNR Amplifiers for a Harmonic Signal in Noise

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