Inference of hot star density stream properties from data on rotationally recurrent DACs

The information content of data on rotationally periodic recurrent discrete absorption components (DACs) in hot star wind emission lines is discussed. The data comprise optical depths tau(w,phi) as a function of dimensionless Doppler velocity w=(Deltalambda/lambda(0))(c/v(infinity)) and of time expressed in terms of stellar rotation angle phi. This is used to study the spatial distributions of density, radial and rotational velocities, and ionisation structures of the corotating wind streams to which recurrent DACs are conventionally attributed. The simplifying assumptions made to reduce the degrees of freedom in such structure distribution functions to match those in the DAC data are discussed and the problem then posed in terms of a bivariate relationship between tau(w, phi) and the radial velocity v(r)(r), transverse rotation rate Omega(r) and density rho(r, phi) structures of the streams. The discussion applies to cases where: the streams are equatorial; the system is seen edge on; the ionisation structure is approximated as uniform; the radial and transverse velocities are taken to be functions only of radial distance but the stream density is allowed to vary with azimuth. The last kinematic assumption essentially ignores the dynamical feedback of density on velocity and the relationship of this to fully dynamical models is discussed. The case of narrow streams is first considered, noting the result of Hamann et al. (2001) that the apparent acceleration of a narrow stream DAC is higher than the acceleration of the matter itself, so that the apparent slow acceleration of DACs cannot be attributed to the slowness of stellar rotation. Thus DACs either involve matter which accelerates slower than the general wind flow, or they are formed by structures which are not advected with the matter flow but propagate upstream (such as Abbott waves). It is then shown how, in the kinematic model approximation, the radial speed of the absorbing matter can be found by inversion of the apparent acceleration of the narrow DAC, for a given rotation law. The case of broad streams is more complex but also more informative. The observed tau(w,phi) is governed not only by v(r)(r) and Omega(r) of the absorbing stream matter but also by the density profile across the stream, determined by the azimuthal (phi(0)) distribution function F-0(phi(0)) of mass loss rate around the stellar equator. When F-0(phi(0)) is fairly wide in phi(0), the acceleration of the DAC peak tau(w, phi) in w is generally slow compared with that of a narrow stream DAC and the information on v(r)(r), Omega(r) and F- 0(phi(0)) is convoluted in the data tau(w, phi). We show that it is possible, in this kinematic model, to recover by inversion, complete information on all three distribution functions v(r)(r), Omega(r) and F-0(phi(0)) from data on tau(w, phi) of sufficiently high precision and resolution since v(r)(r) and Omega(r) occur in combination rather than independently in the equations. This is demonstrated for simulated data, including noise effects, and is discussed in relation to real data and to fully hydrodynamic models

Smart and high-performance digital-to-analog converters with dynamic-mismatch mapping

The trends of advanced communication systems, such as the high data rate in multi-channel base-stations and digital IF conversion in software-defined radios, have caused a continuously increasing demand for high performance interface circuits between the analog and the digital domain. A Digital-to-Analog converter (DAC) is such an interface circuit in the transmitter path. High bandwidth, high linearity and low noise are the main design challenges in high performance DACs. Current-steering is the most suitable architecture to meet these performance requirements. The aim of this thesis is to develop design techniques for high-speed high-performance Nyquist current-steering DACs, especially for the design of DACs with high dynamic performance, e.g. high linearity and low noise. The thesis starts with an introduction to DACs in chapter 2. The function in time/frequency domain, performance specifications, architectures and physical implementations of DACs are brie y discussed. Benchmarks of state-of-the-art published Nyquist DACs are also given. Chapter 3 analyzes performance limitations by various error sources in Nyquist current-steering DACs. The outcome shows that in the frequency range of DC to hundreds of MHz, mismatch errors, i.e. amplitude and timing errors, dominate the DAC linearity. Moreover, as frequencies increase, the effect of timing errors becomes more and more dominant over that of amplitude errors. Two new parameters, i.e. dynamic-INL and dynamic-DNL, are proposed to evaluate the matching of current cells. Compared to the traditional static-INL/DNL, the dynamic-INL/DNL can describe the matching between current cells more accurately and completely. By reducing the dynamic-INL/DNL, the non-linearities caused by all mismatch errors can be reduced. Therefore, both the DAC static and dynamic performance can be improved. The dynamic-INL/DNL are frequency-dependent parameters based on the measurement modulation frequency fm. This fm determines the weight between amplitude and timing errors in the dynamic-INL/DNL. Actually, this gives a freedom to optimize the DAC performance for different applications, e.g. low fm for low frequency applications and high fm for high frequency applications. Chapter 4 summarizes the existing design techniques for intrinsic and smart DACs. Due to technology limitations, it is diffcult to reduce the mismatch errors just by intrinsic DAC design with reasonable chip area and power consumption. Therefore, calibration techniques are required. An intrinsic DAC with calibration is called a smart DAC. Existing analog calibration techniques mainly focus on current source calibration, so that the amplitude error can be reduced. Dynamic element matching is a kind of digital calibration technique. It can reduce the non-linearities caused by all mismatch errors, but at the cost of an increased noise oor. Mapping is another kind of digital calibration technique and will not increase the noise. Mapping, as a highly digitized calibration technique, has many advantages. Since it corrects the error effects in the digital domain, the DAC analog core can be made clean and compact, which reduces the parasitics and the interference generated in the analog part. Traditional mapping is static-mismatch mapping, i.e. mapping only for amplitude errors, which many publications have already addressed on. Several concepts have also been proposed on mapping for timing errors. However, just mapping for amplitude or timing error is not enough to guarantee a good performance. This work focuses on developing mapping techniques which can correct both amplitude and timing errors at the same time. Chapter 5 introduces a novel mapping technique, called dynamic-mismatch mapping (DMM). By modulating current cells as square-wave outputs and measuring the dynamic-mismatch errors as vectors, DMM optimizes the switching sequence of current cells based on dynamic-mismatch error cancelation such that the dynamic-INL can be reduced. After reducing the dynamic-INL, the non-linearities caused by both amplitude and timing errors can be significantly reduced in the whole Nyquist band, which is confirmed by Matlab behavioral-level Monte-Carlo simulations. Compared to traditional static-mismatch mapping (SMM), DMM can reduce the non-linearities caused by both amplitude and timing errors. Compared to dynamic element matching (DEM), DMM does not increase the noise floor. The dynamic-mismatch error has to be accurately measured in order to gain the maximal benefit from DMM. An on-chip dynamic-mismatch error sensor based on a zero-IF receiver is proposed in chapter 6. This sensor is especially designed for low 1/f noise since the signal is directly down-converted to DC. Its signal transfer function and noise analysis are also given and con??rmed by transistor-level simulations. Chapter 7 gives a design example of a 14-bit current-steering DAC in 0.14mum CMOS technology. The DAC can be configured in an intrinsic-DAC mode or a smart-DAC mode. In the intrinsic-DAC mode, the 14-bit 650MS/s intrinsic DAC core achieves a performance of SFDR>65dBc across the whole 325MHz Nyquist band. In the smart-DAC mode, compared to the intrinsic DAC performance, DMM improves the DAC performance in the whole Nyquist band, providing at least 5dB linearity improvement at 200MS/s and without increasing the noise oor. This 14-bit 200MS/s smart DAC with DMM achieves a performance of SFDR>78dBc, IM

Modeling Ultraviolet Wind Line Variability in Massive Hot Stars

We model the detailed time-evolution of Discrete Absorption Components (DACs) observed in P Cygni profiles of the Si IV lam1400 resonance doublet lines of the fast-rotating supergiant HD 64760 (B0.5 Ib). We adopt the common assumption that the DACs are caused by Co-rotating Interaction Regions (CIRs) in the stellar wind. We perform 3D radiative transfer calculations with hydrodynamic models of the stellar wind that incorporate these large-scale density- and velocity-structures. We develop the 3D transfer code Wind3D to investigate the physical properties of CIRs with detailed fits to the DAC shape and morphology. The CIRs are caused by irregularities on the stellar surface that change the radiative force in the stellar wind. In our hydrodynamic model we approximate these irregularities by circular symmetric spots on the stellar surface. We use the Zeus3D code to model the stellar wind and the CIRs, limited to the equatorial plane. We constrain the properties of large-scale wind structures with detailed fits to DACs observed in HD 64760. A model with two spots of unequal brightness and size on opposite sides of the equator, with opening angles of 20 +/- 5 degr and 30 +/- 5 degr diameter, and that are 20 +/- 5 % and 8 +/- 5 % brighter than the stellar surface, respectively, provides the best fit to the observed DACs. The recurrence time of the DACs compared to the estimated rotational period corresponds to spot velocities that are 5 times slower than the rotational velocity. The mass-loss rate of the structured wind model for HD 64760 does not exceed the rate of the spherically symmetric smooth wind model by more than 1 %. The fact that DACs are observed in a large number of hot stars constrains the clumping that can be present in their winds, as substantial amounts of clumping would tend to destroy the CIRs.Comment: 58 pages, 16 figures, 1 animation. Accepted for publication in The Astrophysical Journal, Main Journal. More information and animations are available at http://alobel.freeshell.org/hotstars.htm

The Many Qualities of a New Directly Accessible Compression Scheme

We present a new variable-length computation-friendly encoding scheme, named SFDC (Succinct Format with Direct aCcesibility), that supports direct and fast accessibility to any element of the compressed sequence and achieves compression ratios often higher than those offered by other solutions in the literature. The SFDC scheme provides a flexible and simple representation geared towards either practical efficiency or compression ratios, as required. For a text of length $n$ over an alphabet of size $\sigma$ and a fixed parameter $\lambda$, the access time of the proposed encoding is proportional to the length of the character's code-word, plus an expected $\mathcal{O}((F_{\sigma - \lambda + 3} - 3)/F_{\sigma+1})$ overhead, where $F_j$ is the $j$-th number of the Fibonacci sequence. In the overall it uses $N+\mathcal{O}\big(n \left(\lambda - (F_{\sigma+3}-3)/F_{\sigma+1}\big) \right) = N + \mathcal{O}(n)$ bits, where $N$ is the length of the encoded string. Experimental results show that the performance of our scheme is, in some respects, comparable with the performance of DACs and Wavelet Tees, which are among of the most efficient schemes. In addition our scheme is configured as a \emph{computation-friendly compression} scheme, as it counts several features that make it very effective in text processing tasks. In the string matching problem, that we take as a case study, we experimentally prove that the new scheme enables results that are up to 29 times faster than standard string-matching techniques on plain texts.Comment: 33 page

Digital-to-Analog Converter Interface for Computer Assisted Biologically Inspired Systems

In today\u27s integrated circuit technology, system interfaces play an important role of enabling fast, reliable data communications. A key feature of this work is the exploration and development of ultra-low power data converters. Data converters are present in some form in almost all mixed-signal systems; in particular, digital-to-analog converters present the opportunity for digitally controlled analog signal sources. Such signal sources are used in a variety of applications such as neuromorphic systems and analog signal processing. Multi-dimensional systems, such as biologically inspired neuromorphic systems, require vectors of analog signals. To use a microprocessor to control these analog systems, we must ultimately convert the digital control signal to an analog control signal and deliver it to the system. Integrating such capabilities of a converter on chip can yield significant power and chip area constraints. Special attention is paid to the power efficiency of the data converter, the data converter design discussed in this thesis yields the lowest power consumption to date. The need for a converter with these properties leads us to the concept of a scalable array of power-efficient digital-to-analog converters; the channels of which are time-domain multiplexed so that chip-area is minimized while preserving performance. To take further advantage of microprocessor capabilities, an analog-to- digital design is proposed to return the analog system\u27s outputs to the microprocessor in a digital form. A current-steering digital-to-analog converter was chosen as a candidate for the conversion process because of its natural speed and voltage-to-current translation properties. This choice is nevertheless unusual, because current-steering digital- to-analog converters have a reputation for high performance with high power consumption. A time domain multiplexing scheme is presented such that a digital data set of any size is synchronously multiplexed through a finite array of converters, minimizing the total area and power consumption. I demonstrate the suitability of current-steering digital-to-analog converters for ultra low-power operation with a proof-of-concept design in a widely available 130 nm CMOS technology. In statistical simulation, the proposed digital-to-analog converter was capable of 8-bit, 100 kSps operation while consuming 231 nW of power from a 1 V supply