On modeling biomedical ultrasound RF echoes using a power-law shot-noise model

2001 ◽  
Vol 48 (4) ◽  
pp. 953-968 ◽  
Author(s):  
M.A. Kutay ◽  
A.P. Petropulu ◽  
C.W. Piccoli
Keyword(s):  
Power Law ◽  
Shot Noise ◽  
Noise Model

Breast tissue characterization based on modeling of ultrasonic echoes using the power-law shot noise model

2003 ◽  
Vol 24 (4-5) ◽  
pp. 741-756 ◽  
Author(s):  
M.Alper Kutay ◽  
Athina P Petropulu ◽  
Catherine W Piccoli
Keyword(s):  
Power Law ◽  
Shot Noise ◽  
Breast Tissue ◽  
Tissue Characterization ◽  
Noise Model

scholarly journals Pricing Basket Default Swaps in a Tractable Shot-Noise Model

2011 ◽  
Author(s):  
Alexander Herbertsson ◽  
Jiwook Jang ◽  
Thorsten Schmidt
Keyword(s):  
Shot Noise ◽  
Noise Model

scholarly journals On Scaling Limits of Power Law Shot-Noise Fields

2015 ◽  
Vol 31 (2) ◽  
pp. 187-207 ◽  
Author(s):  
François Baccelli ◽  
Anup Biswas
Keyword(s):  
Power Law ◽  
Shot Noise ◽  
Scaling Limits

Power-law shot noise and its relationship to long-memory α-stable processes

2000 ◽  
Vol 48 (7) ◽  
pp. 1883-1892 ◽  
Author(s):  
A.P. Petropulu ◽  
J.-C. Pesquet ◽  
Xueshi Yang
Keyword(s):  
Power Law ◽  
Shot Noise ◽  
Long Memory ◽  
Stable Processes

Power-law shot noise

1990 ◽  
Vol 36 (6) ◽  
pp. 1302-1318 ◽  
Author(s):  
S.B. Lowen ◽  
M.C. Teich
Keyword(s):  
Power Law ◽  
Shot Noise

scholarly journals Correlated timing noise and high-precision pulsar timing: measuring frequency second derivatives as an example

2019 ◽  
Vol 488 (2) ◽  
pp. 2190-2201 ◽  
Author(s):  
X J Liu ◽  
M J Keith ◽  
C G Bassa ◽  
B W Stappers
Keyword(s):  
Measurement Uncertainty ◽  
High Precision ◽  
Power Law ◽  
Power Laws ◽  
Noise Model ◽  
Dispersion Measure ◽  
Pulsar Timing ◽  
Timing Noise ◽  
The Impact ◽  
Pulsar Timing Array

Abstract We investigate the impact of noise processes on high-precision pulsar timing. Our analysis focuses on the measurability of the second spin frequency derivative $\ddot{\nu }$. This $\ddot{\nu }$ can be induced by several factors including the radial velocity of a pulsar. We use Bayesian methods to model the pulsar times-of-arrival in the presence of red timing noise and dispersion measure variations, modelling the noise processes as power laws. Using simulated times-of-arrival that both include red noise, dispersion measure variations, and non-zero $\ddot{\nu }$ values, we find that we are able to recover the injected $\ddot{\nu }$, even when the noise model used to inject and recover the input parameters are different. Using simulations, we show that the measurement uncertainty on $\ddot{\nu }$ decreases with the timing baseline T as Tγ, where γ = −7/2 + α/2 for power-law noise models with shallow power-law indices α (0 < α < 4). For steep power-law indices (α > 8), the measurement uncertainty reduces with T−1/2. We applied this method to times-of-arrival from the European Pulsar Timing Array and the Parkes Pulsar Timing Array and determined $\ddot{\nu }$ probability density functions for 49  millisecond pulsars. We find a statistically significant $\ddot{\nu }$ value for PSR B1937+21 and consider possible options for its origin. Significant (95 per cent C.L.) values for $\ddot{\nu }$ are also measured for PSRs J0621+1002 and J1022+1001, thus future studies should consider including it in their ephemerides. For binary pulsars with small orbital eccentricities, such as PSR J1909−3744, extended ELL1 models should be used to overcome computational issues. The impacts of our results on the detection of gravitational waves are also discussed.

scholarly journals Validation of a power-law noise model for simulating small-scale breast tissue

2013 ◽  
Vol 58 (17) ◽  
pp. 6011-6027 ◽  
Author(s):  
I Reiser ◽  
A Edwards ◽  
R M Nishikawa
Keyword(s):  
Power Law ◽  
Breast Tissue ◽  
Noise Model ◽  
Small Scale ◽  
Power Law Noise
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