Probability, random variables and stochastic processes

By John G. Proakis. 1985

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Citations in the corpus

Quantitative comparison of algorithms for tracking single fluorescent particles. (2001, background): “Shot noise is a Poisson process (Papoulis, 1984) where the noise increases as ͌ N, N being the number of detected photons or photoelectrons (Ryan et al., 1990).”
A joint inter- and intrascale statistical model for Bayesian wavelet based image denoising (2002, methodology): “independent, the density of wl is given by convolution [ 23 ] fWl|Xl (wl|1) = fYl|Xl (yl|1) ∗ fN (n), and”
An entropic‐stochastic representation of rainfall intermittency: The origin of clustering and persistence (2006, methodology): “At the same time, Kolmogorov founded the concept on more mathematical grounds on the basis of the measure theory [see, e.g., Papoulis, 1991, p. 535; Müller, 2003; Keane, 2003; Tsallis, 2004].”
Ambient Backscatter Communication Systems: Detection and Performance Analysis (2016, unknown): “(13) Assuming that the slow-fading channels h, ζ and g remain unchanged during some consecutive intervals of transmitting B(k −1) and B(k), the central limit theorem (CLT) [26] yields that Lk,0 ∼ N (0, ς2 0 ) and Lk,1 ∼ N (0, ς2 1 ), with ς2 0 = 2 N |h|2 Ps Nwb, ς2 1 = 2 N |μ|2 Ps Nwb, (14) where Ps”
Supergiant pulses from extragalactic neutron stars (2015, background): “Giant pulses from the Crab pulsar comprise ∼ 1% of all pulses and have a differential amplitude distribution that shows no discernible cutoff amplitude in samples as large as 100 hr of on-pulsar live time (∼ 10(7) pulse periods) (Lundgren et al. 1995; Mickaliger et al. 2012).”
M-QAM-OFDM system performance in the presence of a nonlinear amplifier and phase noise (2002, background): “According to the well-known minimum mean square error (MMSE) criterion [25], the optimum choice for is the value which minimizes the distortion, i.”
Analysis of Incomplete Climate Data: Estimation of Mean Values and Covariance Matrices and Imputation of Missing Values. (2001, background): “…eigenvalues are the correlate of the spectral2lj density of what is called the signal in Wiener filtering, and the squared regularization parameter h2 is the correlate of the spectral density of what is called the noise in Wiener filtering (Papoulis 1991, chapter 14.1; Anderssen and Prenter 1981).”
Achievable Information Rate in Nonlinear WDM Fiber-Optic Systems With Arbitrary Modulation Formats and Dispersion Maps (2013, background): “…Gaussian approximation cannot be extended to the whole process, for which it would be required that any linear combination of samples be Gaussian [43], which is easily contradicted by the fact that GVD compensation (which is a linear combination of samples) reverts the signal to its original…”
Unsupervised Supervised Learning I: Estimating Classification and Regression Errors without Labels (2010, background): “Lemma 1 (e.g., (Papoulis, 1984) where A, B, C, D are constants that do not depend on x .”
Pitch-synchronous waveform processing techniques for text-to-speech synthesis using diphones (1989, background): “…down the signal since the inverse of the time-scaling factor 7//3 may then become tant. idealized but realistic model of a stationary voiced sound consisting in the superposition of a deterministic periodic signal d(m) and a zero-mean wide sense stationary (WSS) process n(m) (Papoulis, 1984 ).”
Vehicle–Vehicle Channel Models for the 5-GHz Band (2008, unknown): “For example, for the OHT case, the correlation is approximately 0.7 at a frequency separation of 1.3 MHz; thus, the coherence bandwidth for this case is approximately 2.6 MHz.”
Bridging the gaps between cameras (2004, unknown): “0-7695-2158-4/04 $20.00 (C) 2004 IEEE”
An advanced stochastic weather generator for simulating 2‐D high‐resolution climate variables (2017, unknown): “Three probability distributions are ﬁtted to the data on a monthly basis: a Generalized Pareto distribution [e.g., Embrechts et al ., 1997]; a Lognormal distribution [e.g., Papoulis and Unnikrishna , 2002]; and a Johnson distribution [ Johnson , 1949].”