H optimal approximation for causal spline interpolation

In this paper, we give a causal solution to the problem of spline interpolation using H^∞ optimal approximation. Generally speaking, spline interpolation requires filtering the whole sampled data, the past and the future, to reconstruct the inter-sample values. This leads to non-causality of the filter, and this becomes a critical issue for real-time applications.Our objective here is to derive a causal system which approximates spline interpolation by H^∞ optimization for the filter. The advantage of H^∞ optimization is that it can address uncertainty in the input signals to be interpolated in design, and hence the optimized system has robustness property against signal uncertainty.We give a closed-form solution to the H^∞ optimization in the case of the cubic splines. For higher-order splines, the optimal filter can be effectively solved by a numerical computation. We also show that the optimal FIR (finite impulse response) filter can be designed by an LMI (linear matrix inequality), which can also be effectively solved numerically. A design example is presented to illustrate the result.     

ENHANCEMENT OF AMYLOLYTIC POTENTIAL OF SORGHUM MALTS BY ALKALINE STEEP TREATMENT

The effect of alkaline steep liquor on sorghum maltability was investigated using three improved Nigeria sorghum cultivara. Germination was for four days at 30°C after steeping under four different regimes. Grain germinability, root length and malting loss were significantly (P < 0.001) repressed by steeping in alkaline liquor for all the cultivars. However, the extent of this repression seemed in all cases significantly dependent on cultivar and steep regime plus their possible interactions. Similarly, the development of diastatic enzymes activities appeared to be highly significantly dependent on steep liquor, steep regime, cultivar, plus their possible pairwise and three way interactions. For ICSV400, highest diastatic power and α-amylase development were attained on steeping grains in alkaline liquor under a continuous steep regime incorporating final warm steep treatment. Conversely, exposure of KSV8 and SK5912 to a regime incorporating air-resting and final warm steep significantly enhanced diastatic power and α-amylase development. β-Amylase activity was in all cases enhanced by alkaline steeping. In fact, β-Amylolytic activity constituted over 70% of total diastatic activity in most alkaline steeped ICSV400 malts. However, SK5912 exhibited relatively low hot water extract in spite of the improved amylolytic activity.     

HOMOGENEITY OF THE FRIABLE FLOUR OF MALTING BARLEY

A detailed comparison was made of the properties of the friable flours and non-friable residues of two samples of malted barley of different nitrogen contents. The friable flours were sieved and fractionated to give a range of particle sizes, and the intact malt, whole friable flour, non-friable residues and fractionated friable flours were subjected to a range of analyses. Endosperm fractionation studies showed that the pattern of enzymic degradation of proteins in the modified friable flour of low nitrogen malt was more uniform than the corresponding pattern of protein breakdown in the friable flour of high nitrogen malt. Examination of the non friable residues showed that cell wall breakdown in the high nitrogen malt was less extensive than the low nitrogen malt. It is proposed that the high protein levels in the endosperm caused starch/protein compacting which limited endosperm hydration and enzymic modification during malting. The friability scores of high nitrogen malts may given an over estimate of endosperm modification.     

DETERMINATION OF HIGH MOLECULAR WEIGHT β-GLUCAN IN WORT AND BEER USING A POST-COLUMN CALCOFLUOR FLOW-INJECTION-ANALYSIS (FIA) METHOD

To eliminate the influence of maltose, ethanol, low molecular weight β-glucan and an inhibitor of the calcofluor fluorescence reaction in wort and beer on the measured values of a calcofluor-FIA, a post-column calcofluor-FIA method has been developed using a short-size gel permeation chromatography column (6.0 × 50 mm). A column packed with polyhydroxymethacrylate gel (molecular weight exclusion limit, 100,000) was found to be the most appropriate for this system. This short column allowed rapid and specific measurement of high molecular weight β-glucan in a few minutes without the influence of the fluorescence inhibitor, maltose and ethanol which have molecular weights of less than 1000 daltons. Because the low molecular weight β-glucan responsible for the scatter caused by a slight difference in measuring conditions such as temperature, calcofluor concentrations, sample volumes, etc., was separated through the use of the column, the measured values by the post-column calcofluor-FIA method hardly fluctuated under different conditions. Though it has been recognized that dilution of a sample could affect a calcofluor FIA, the new system was not influenced. This also made it possible to measure the β-glucan content in dark-coloured samples (even over 100 EBC colour units). The measured values by the post-column FIA showed a high correlation (r² = 0.993) with those obtained by the enzymatic method (the McCleary method).     

INCUBATION OF BARLEY KERNEL SECTIONS WITH PURIFIED CELL WALL DEGRADING ENZYMES

The effects of purified Trichoderma reesei endo-xylanase, XYN II and endoglucanases, EG I and EG II on the cell walls of embedded barley cross sections were studied. The cell walls were stained with Calcofluor which is specific for (1–3)(1–4)-β-D-glucans (mixed-linked β-glucans) in histochemical applications. Whereas endosperm cell walls remained highly fluorescent after incubation with buffer, the aleurone cell walls were only weakly fluorescent. Both EG I and EG II were effective in degrading the outer endosperm cell walls, but had little or no effect on the inner endosperm and aleurone cell walls. Corresponding sections incubated with XYN II showed highly intensive fluorescence of aleurone cell walls suggesting that the surface of alaurone cell walls contains a high level of xylan which is removed by xylanase treatment exposing a layer rich in mixed linked β-glucans. This indicates that arabinoxylans and β-glucans in the aleurone cell walls of barley exist as separate, macroscopic layers. Xylanase did not have any Influence on the microstructure of endosperm cell walls which are rich in mixed linked β-glucans. However, incubation with EG II after xylanase treatment caused the aleurone cell walls to become very thin.     

VACUUM PACKAGING OF NEW ZEALAND HOPS

Three cultivars of New Zealand hops were packaged in two ways, vacuum and non-vacuum, and stored at two temperatures, 0°C and ambient. Over the 38 week test period the degradation of Lead Conductance Value was linear for all treatments with no difference between cultivars and no evidence of a ‘safe’ or ‘delay’ period. The degradation coefficient [Lead Conductance Value (%)/week] was highest for non-vacuum packed, ambient (?0·151), followed by non-vacuum packed refrigerated (?0·077), vacuum packed ambient (?0·039) and vacuum packed refrigerated (?0·012).     

EVALUATION OF MALTING QUALITY IN A BARLEY BREEDING PROGRAMME USE OF α-AMYLASE AND β-GLUCAN LEVLES IN MALT AS PRESELECTION TOOLS

Analysis according to the EBC protocol, immunological determination of a α-amylase and estimation of malt β-glucan using the Calcofluor-FIA method, were used to screen 327 barley breeding lines for malting quality. The results obtained with the α-amylase and β-glucan methods are highly correlated to the important malt quality paramters: extract yield and β-glucan content in the wort. It is recommended that either of the two methods, which are simple to perform are used as prescreening tools in breeding programmes for malting barley.     

FIELD FUNGI AND β-GLUCAN SOLUBILASE IN BARLEY KERNELS*

Significant amounts of β-glucan solubilase activity have been found in barleys harvested from a number of test sites. Enzyme activity appeared to be related to the climatic conditions at crop maturity, indicating that β-glucan solubilase was generated, possibly, by microflora on the barley grain. Species of the most common field fungi genera, Alternaria, Cladosporium, Epicoccum and Helminthosporium and two bacterial cultures were isolated from barley kernels and incubated on autoclaved barley for solubilase examinations. All the fungal isolates studied showed abilities to reduce the viscosity of carboxymethyl cellulose and to solubilise barley β-glucan. The molecular size distribution of the solubilised β-glucan products resembled that obtained for products formed by a partially purified preparation of solubilase from barley. It has been concluded, therefore, that the common field fungi associated with the hull and seed cot of barley may be the source of β-glucan solubilase.     

STARCH DEGRADATION IN ENDOSPERMS OF DEVELOPING BARLEY KERNELS*

Shortly after anthesis, empty endosperm cells adjacent to the embryo were crushed between the developing embryo and endosperm tissues to form the crushed cell layer. Starch granules in cells adjacent to this layer were hydrolysed and the empty cells were added to the crushed layer. In this way, the crushed layer increased in thickness throughout kernel development. α-Amylase 2 was detected in the crushed cell layer region of barley endosperms during the period that starch granule hydrolysis was occurring.