Adjusted Degrees Of Freedom Research Articles

A Spectral Encoding Simulator for Broadband Active Illumination and Reconstruction-Based Spectral Measurement

Spectral reflectance or transmittance measurements provide intrinsic information on the material of an object and are widely used in remote sensing, agriculture, diagnostic medicine, etc. Most reconstruction-based spectral reflectance or transmittance measurement methods based on broadband active illumination use narrow-band LEDs or lamps combined with specific filters as spectral encoding light sources. These light sources cannot achieve the designed spectral encoding with a high resolution and accuracy due to their low degree of freedom for adjustment, leading to inaccurate spectral measurements. To address this issue, we designed a spectral encoding simulator for active illumination. The simulator is composed of a prismatic spectral imaging system and a digital micromirror device. The spectral wavelengths and intensity are adjusted by switching the micromirrors. We used it to simulate spectral encodings according to the spectral distribution on micromirrors and solved the DMD patterns corresponding to the spectral encodings with a convex optimization algorithm. To verify the applicability of the simulator for spectral measurements based on active illumination, we used it to numerically simulate existing spectral encodings. We also numerically simulated a high-resolution Gaussian random measurement encoding for compressed sensing and measured the spectral reflectance of one vegetation type and two minerals through numerical simulations. We reconstructed the spectral transmittance of a calibrated filter through an experiment. The results show that the simulator can measure the spectral reflectance or transmittance with a high resolution and accuracy.

Morphodynamics of an erodible channel under varying discharge

AbstractAlluvial channels arise through the interaction between morphology, hydraulics, and sediment transport, known as the ‘fluvial trinity’. Over relatively short timescales where climate and geology are fixed but discharge and sediment supply may vary, this process facilitates adjustments towards steady state, where the system oscillates around a mean condition. The relationship between changes in conditions and geomorphic response may be highly complex and nonlinear, especially in systems with multiple modes of adjustment. This study examines the adjustment of an erodible channel with fixed banks and a widely graded sediment mixture to successive increases in discharge. With each increase in discharge, components of the fluvial trinity adjusted towards a steady state. Particularly at relatively low discharges, adjustments were controlled by intrinsic thresholds and highlighted important morphodynamic processes. Notably, there was a strong interplay between channel morphology and sediment transport, and an effect whereby larger‐than‐average grains controlled channel deformation. These two processes occurred at the bar scale and were highly spatialised, which has two important implications: (1) reach‐averaged representations of process provide only partial insight into morphodynamics; and (2) models of rivers that suppress these process feedbacks and size‐dependent transport may not replicate morphodynamics that typically occur in field conditions. The experiments provide quantitative evidence for conceptual models describing exponential approaches towards steady state and the potential for transiency if disturbance frequency exceeds the recovery time. They also highlight how in natural rivers, particularly those with greater degrees of freedom for adjustment (notably, lateral adjustment and meandering), continuous changes in discharge may lead to nonlinear rather than steady‐state behaviour. In these settings, more holistic analytical frameworks that embrace different aspects of the system are critical in understanding the direction, magnitude and timing of channel adjustments.

Tuning of Pulse-Width Pulse-Frequency Modulator using PSO: An Engineering Approach to Spacecraft Attitude Controller Design

In this paper, a new technique for fine tuning of spacecraft autopilots based on pulse-width pulse-frequency (PWPF) modulators is presented. PWPF is one of the most commonly used approaches to control signal modulation. Its main application is found in spacecraft controllers to produce discontinuous on-off control signals for two situational actuators. The main reasons for the popularity of this method are the reduced energy consumption and the quasi linear operation with high degrees of freedom in adjustment. But, due to multiplicity and nonlinear relationship between parameters, fine tuning of PWPF is known to be an engineering problem. Similar complexity is observable in adjusting the incorporated controller parameters. These involvements regarding the industrial and academic background of PWPF are not properly explored. The paper shows how particle swarm optimization (PSO) can be invoked to set both controller and PWPF parameters. Several spacecraft autopilots have been designed to show effectiveness of the proposed method.

Retention pattern profiling of fungal metabolites on mixed-mode reversed-phase/weak anion exchange stationary phases in comparison to reversed-phase and weak anion exchange separation materials by liquid chromatography–electrospray ionisation-tandem mass spectrometry

Retention properties of 79 fungal metabolites (including neutral, acidic, basic, and amphoteric compounds) were evaluated on distinct mixed-mode reversed-phase/weak anion exchange (RP/WAX)-type stationary phases by liquid chromatography–electrospray ionisation-tandem mass spectrometry (LC–ESI-MS/MS) in gradient as well as in isocratic elution mode. The RP/WAX separation materials were prepared by functionalising thiol-modified silica with N-(10-undecenoyl)-3-aminoquinuclidine and N-(10-undecenoyl)-3-α-aminotropane, respectively. To evaluate complementarity in chromatographic selectivity the physico-chemically heterogeneous solute set was analysed also on a RP phase (C 18), an amino-type WAX phase, and a commercially available RP/WAX-like mixed-mode phase. Analytes may interact with the RP/WAX ligands via (attractive/repulsive) ionic, RP-like hydrophobic, as well as hydrophilic (HILIC) retention mechanisms. Individual interactive increments were found to be basically controlled by the nature and amount of organic modifier, pH value of eluent, and ionic strength of buffer additives. It could be demonstrated that RP/WAX columns offer the potential to separate compounds by exploiting a combination of various chromatographic interaction modes, which is not accessible with conventional RP and WAX columns. Such multi-modal properties increase both versatility and degrees of freedom for adjustment of chromatographic selectivity. For example, highly polar mycotoxins such as moniliformin were well retained on RP/WAX-type phases without compromising RP-selectivity for neutral (e.g. aflatoxins) and most basic solutes (e.g. epimer separation of ergot alkaloids) under fully MS-compatible conditions like a hydro-organic eluent with acetonitrile as organic modifier and an acetic acid/ammonium acetate buffer. Flexibility of the employed mixed-mode separation materials may be of value particularly for LC–ESI-MS/MS-based bioanalytics involving analytes with widely varying physico-chemical properties or applications prone to matrix effects.

Fine tuning of the higher-order dispersion of a prismatic pulse compressor

The wavelength-dependent thermal refractive index gives an extra degree of freedom for adjustment of higher-order dispersion of a prismatic pulse compressor. The effect allows of fine tuning of both intracavity and extracavity dispersion of ultra-fast oscillators. The calculations have been carried out using a new and rather handy formalism, which describes the operation of a prism pulse compressor as a linear function of the ratio of the total glass path in the prisms and the prism apex distance. The validity of theoretical calculations is supported by experimental evidence.