The Phonetics of Tone and Voice Quality Interactions in Sylheti

This paper examines the phonetic interactions of tone and voice qualities in Sylheti. Data from six native speakers are examined to understand the voice qualities of the vowels carrying contrastive tones. The results identify three spectral measures (viz., H1*–H2*, H1*–A2*, and H1*–A3*) and one noise measure (viz., CPP) as reliable indicators of modal (or in the continuum of modal to tense) vs. breathy (or, in the continuum of breathy to lax) phonation contrasts in the vowels carrying high and low tone, respectively. Finally, a statistical model is proposed that predicts consistent phonation contrasts across the total duration of the contrastive tones.

Solving the 4NLS with white noise initial data

We construct global-in-time singular dynamics for the (renormalized) cubic fourth-order nonlinear Schrödinger equation on the circle, having the white noise measure as an invariant measure. For this purpose, we introduce the ‘random-resonant / nonlinear decomposition’, which allows us to single out the singular component of the solution. Unlike the classical McKean, Bourgain, Da Prato-Debussche type argument, this singular component is nonlinear, consisting of arbitrarily high powers of the random initial data. We also employ a random gauge transform, leading to random Fourier restriction norm spaces. For this problem, a contraction argument does not work, and we instead establish the convergence of smooth approximating solutions by studying the partially iterated Duhamel formulation under the random gauge transform. We reduce the crucial nonlinear estimates to boundedness properties of certain random multilinear functionals of the white noise.

The q-Gamma White Noise

For 0 < q < 1 and 0 < α < 1, we construct the infinite dimensional q-Gamma white noise measure γα,q by using the Bochner-Minlos theorem. Then we give the chaos decomposition of an L2 space with respect to the measure γα,q via an isomorphism with the 1-mode type interacting Fock space associated to the q-Gamma measure.

Generalized free Gaussian white noise

<p>Based on an adequate new Gel'fand triple, we construct the infinite dimensional free Gaussian white noise measure \(\mu\) using the Bochner-Minlos theorem. Next, we give the chaos decomposition of an \(L^{2}\) space with respect to the measure \(\mu\).</p>

Noise Performance of Heterojunction DDR MITATT Devices Based on at W-Band

Noise performance of different structures of anisotype heterojunction double-drift region (DDR) mixed tunneling and avalanche transit time (MITATT) devices has been studied. The devices are designed for operation at millimeter-wave W-band frequencies. A simulation model has been developed to study the noise spectral density and noise measure of the device. Two different mole fractions and of Ge and corresponding four types of device structure are considered for the simulation. The results show that the -Si heterojunction DDR structure of MITATT device excels all other structures as regards noise spectral density ( sec) and noise measure (33.09 dB) as well as millimeter-wave properties such as DC-to-RF conversion efficiency (20.15%) and CW power output (773.29 mW).