We present a method to ascertain optimal parameter values in the presence of a known measurement error distribution. This method is known as simulation extrapolation (SIMEX). Say X is an input variable with no error and Y is the response variable. Consider instead of X our input variable is W where, W= X+ N(0, σ). The calibrated parameter with W as input is called the naïve parameter estimate. ...

We review the capacity-achieving coding scheme for the power-constrained wide-band Additive White Gaussian Noise (AWGN) channel (with noiseless feedback) that was proposed in [1]. The performance of this scheme for the cases of (i) non-Gaussian additive white noise on the forward path, and (ii) AWGN on both forward and feedback paths, is also discussed.

This paper examines the effectiveness of a generalized dynamic cepstrum in distant speech recognition. The generalized dynamic cepstrum (DyMFGC) is based upon the forward masking on the generalized logarithmic spectrum instead of the log-spectrum, which intends to make it robust to additive noise as well as convolutional noise. Digit recognition tests were carried out in a relatively quiet and ...

background outer hair cells' (ohcs') dysfunctions as the extent of temporary and permanent threshold shifts (tts and pts) and cochlear damage were assessed in rabbits exposed to continuous noise methods twelve new zealand white rabbits were studied in noise (n) (n=6; exposed to continuous noise; 95 db spl, 500-8000 hz for 8 h per day during 5 consecutive days) and control (c) (n=6; no...

We use a white noise approach to Malliavin calculus to prove the following white noise generalization of the Clark-Haussmann-Ocone formula F (ω) = E[F ] + T 0 E[D t F |F t ] W (t)dt Here E[F ] denotes the generalized expectation, D t F (ω) = dF dω is the (generalized) Malliavin derivative, is the Wick product and W (t) is 1-dimensional Gaussian white noise. The formula holds for all f ∈ G * ⊃ L...

We use a white noise approach to Malliavin calculus to prove the following white noise generalization of the Clark-Haussmann-Ocone formula F (ω) = E[F ] + T 0 E[D t F |F t ] ⋄ W (t)dt Here E[F ] denotes the generalized expectation, D t F (ω) = dF dω is the (generalized) Malliavin derivative,⋄ is the Wick product and W (t) is 1-dimensional Gaussian white noise. The formula holds for all f ∈ G * ...

Performance of the echo canceller can be conventionally measured by putting white Gaussian noise into the echo canceller system. However, white Gaussian noise is not adequate as the test signal, since the performance may depend on the characteristics of input test signal, and the characteristics of the white Gaussian noise differ from those of real spoken language. This paper describes characte...

Traditionally, stochastic differential equations used in the physical sciences have involved Gaussian white noise. ' In recent times, however, white noise has been replaced by colored noise in a variety of contexts. Laser noise problems and first passage time problems have been shown to necessitate the use of colored noise instead of white noise. Even the mathematical foundations for the theory...

Based on an adequate new Gel’fand triple, we construct the infinite dimensional free Gaussian white noise measure μ using the Bochner-Minlos theorem. Next, we give the chaos decomposition of an L2 space with respect to the measure μ .