Non-minimum phase wavelet estimation by non-linear optimization of all-pass operators

Convolution of a minimum‐phase wavelet with an all‐pass wavelet provides a means of varying the phase of the minimum‐phase wavelet without affecting its amplitude spectrum. This observation leads to a parametrization of a mixed‐phase wavelet being obtained in terms of a minimum‐phase wavelet and an all‐pass operator. The Wiener–Levinson algorithm allows the minimum‐phase wavelet to be estimated from the data. It is known that the fourth‐order cumulant preserves the phase information of the wavelet, provided that the underlying reflectivity sequence is a non‐Gaussian, independent and identically distributed process. This property is used to estimate the all‐pass operator from the data that have been whitened by the deconvolution of the estimated minimum‐phase wavelet. Wavelet estimation based on a cumulant‐matching technique is dependent on the bandwidth‐to‐central‐frequency ratio of the data. For the cumulants to be sensitive to the phase signatures, it is imperative that the ratio of bandwidth to central frequency is at least greater than one, and preferably close to two. Pre‐whitening of the data with the estimated minimum‐phase wavelet helps to increase the bandwidth, resulting in a more favourable bandwidth‐to‐central‐frequency ratio. The proposed technique makes use of this property to estimate the all‐pass wavelet from the prewhitened data. The paper also compares the results obtained from both prewhitened and non‐whitened data. The results show that the use of prewhitened data leads to a significant improvement in the estimation of the mixed‐phase wavelet when the data are severely band‐limited. The proposed algorithm was further tested on real data, followed by a test involving the introduction of a 90°‐phase‐rotated wavelet and then recovery of the wavelet. The test was successful.     

Geochronological Constraints on Evolution of Singhbhum Mobile Belt and Associated Basic Volcanics of Eastern Indian Shield

The Singhbhum Mobile Belt (SMB) of the eastern Indian shield represents a roughly east-west-trending arcuate belt of folded supracrustals overlying the granite-greenstone basement of the Singhbhum-Orissa Craton along its northern, eastern and western margins and is bounded by the Chotanagpur Gneissic Complex to further north. The radiometric ages of the basement Singhbhum and equivalent granites and the intrusive anorogenic Mayurbhanj granite pluton constrain the time of evolution of this mobile belt between 3.12 and 3.09 Ga. Hence, the SMB supracrustals also known as Singhbhum Group, is late Mesoarchaean in age and not Proterozoic as thought earlier. The evolution of the SMB was followed by emplacement of some major basic igneous rocks within or adjacent to the supracrustals. These include Simlipal volcanics at >3.09 Ga on the SMB, Mayurbhanj gabbro along with Mayurbhanj granite at 3.09 Ga along the marginal part of the craton near the SMB, and the Dalma volcanics on the SMB along with the Dhanjori volcanics adjacent to SMB at 2.80 Ga. The 2.80 Ga old basic volcanics is also associated with emplacement of some small granite plutons occurring along the marginal part of the craton, one of them, the Tamperkola granite intrudes the SMB. The >3.09 Ga onward igneous activities along the marginal part of Singhbhum-Orissa Craton took place essentially under anorogenic tectonic setting before being affected by a major metamorphism at 2.50 Ga, which is recorded on the Dalma volcanics and on some small granite pluton occurs along the marginal part of the craton. The Jagannathpur and stratigraphically equivalent Malangtoli volcanics, occurring within the Singhbhum-Orissa Craton at the west, were erupted at 2.25 Ga. The boundary between the SMB supracrustals and the Singhbhum-Orissa Craton is demarked by a prominent shear zone known as the Singhbhum Shear Zone, which shows multiple reactivation, the oldest being at 3.09 Ga, followed by subsequent reactivation during Palaeo- and Mesoproterozoic periods at 2.2, 1.8, 1.6-1.5, 1.4 and 1.0 Ga respectively. The Singhbhum Group and the adjacent Chotanagpur Gneissic Complex appear to have evolved from a near shore syn-rift and a distal post-rift stable shelf sedimentary assemblages respectively, which were deposited without any stratigraphic break in a marine basin existed in the present north of the Singhbhum-Orissa Craton. Both of these assemblages were deformed and metamorphosed together during Proterozoic at 2.5 to >2.3 Ga, 1.6 Ga and 1.0 Ga.     

An ensemble strategy for high-resolution regional model forecasts

Summary An ensemble methodology is proposed for very high-resolution regional model Quantitative Precipitation Forecasts. To facilitate a systematic study, the model and the boundary conditions are assumed to be perfect. The generation of perturbations is derived on the basis that the largest errors in precipitation forecasts at very high resolutions arise from miss-specified diabatic heat sources and sinks which feedback erroneously to the grid scale variables in the initial state. This methodology is tested in a Proxy Observed System Simulation Experiment (POSSE) involving an intense cyclone over eastern Canada. The perturbations of wind and temperature in this ensemble strategy are obtained as normalized coefficients of a Combined Empirical Orthogonal Function analysis of the difference fields between the control and the diabatically initialized model runs. These perturbations are added to and subtracted from the control initial state to obtain a set of two perturbed initial states. Several such perturbed initial states are obtained from initializing observed rain rates at different times close to the time of the analysis. The results from the POSSE reveal that the Quantitative Precipitation Forecast of the ensemble mean outperforms the control model run. Received August 8, 2000/Revised November 1, 2000     

Role of remote sensing in demarcation of alluvial fan deposits in Tarai-Bhabar belt of Nainital District (U.P.) and the environmental impact assessment

Remotely sensed data has unique advantage aver conventional data collection techniques in the study of geomorphology, as physiographical and geo-structural parameters are mostly discernible on the imagery. In the present study an attempt has been made to identify and evaluate the process of geomorphological evolution and hydrogeological conditions, temporal changes in pattern of geomorphic elements and overall impact on environment in alluvial fan region in Nainital District using multidate satellite data from Landsat (1975, 1986) and IRS (1993), through visual interpretation technique. The landuse changes are quite prominent in alluvial fan of upper and lower zone. As a consequence of deforestation, an area of 16 sq. km. of natural forest cover has been lost over a span of 18 years (1975–1993) leading to the increase in rate of erosion as well as environmental degradation in upstream areas. The study suggests that the ground water utilization in Tarai belt without replenishment of confined aquifers and installation of more tubewells in Bhabar belt may lead to total failure of flowing wells and subsequently disturb the balanced ecosystem.     

A variable K planetary boundary-layer model

The steady-state, homogeneous and barotropic equations of motion within the planetary boundary layer are solved with the assumption that the coefficient of eddy viscosity varies as K(Z) = K _O(1–Z/h) ^p , where h is the height of the bounday layer and p is a parameter which depends on atmospheric stability. The solutions compare favourably with observed velocity profiles based on the Wangara data.     

New record of coralline algae from the Holocene sediments of Agatti Island,Lakshadweep, India

The present paper examines the coralline algal assemblage recovered from the Holocene sediments of Agatti Island, Lakshadweep, India. The assemblage comprises nine species of coralline algae which include Amphiroa fragilisma, Lithophyllum nitorum, Lithophyllum incrustans, Lithoporella melobesioids, Spongites sp., Porolithon craspedium, Aethesolithon problematicum, Clathromorphum parcum, Melobesoideae gen. et spec. indet. Clathromorphum parcumis an endophytic coralline alga reported for the first time from the Indian subcontinent. Out of these, seven species belong to the family Corallinaceae and the two represent the family Hapalidiaceae of the class Rhodophyceae. Coralline algal association of this area is dominated by Lithophylloideae, Melobesioideae and Mastophoroideae which include encrusting to fragmented growth forms. The associated branching corals are well developed and adapted to shallow, warm water, low turbid, protected lagoonal environment.     

Petrology and sedimentation of the middle siwalik clays at dholkhand,saharanpur district,U.P., India

The Middle Siwalik clays at Dholkhand, Saharanpur district, U. P., in India were studied to investigate the nature of Siwalik (middle Miocene to lower Pleistocene) sedimentation in relation to the tectonism associated with the Himalayan orogenesis. The clays are reddish brown to buff in color containing montmorillonite, expandable mixed-layers, degraded chlorite, and illite. The clays were studied byX-ray diffractometry using standard techniques with copper radiation. The clay mineral distribution of the Middle Siwaliks indicates that the material was deposited under continental conditions in stream channels during periods of minimum current activity. The clays were deposited by slow sedimentation and are little affected by diagenesis. Further work in this area and elsewhere are now under progress to establish the relation of Siwalik sedimentation with the uplift of the Himalayas in the Tertiary period.     

Sphalerite-bearing detrital ‘sand’ bodies in Mississippi Valley-type zinc deposits Mascot-Jefferson City district,Tennessee

The Mississippi Valley-type sphalerite mineralization in the Mascot-Jefferson City zinc district of East Tennessee occurs as open-space fillings in breccia bodies within the upper part of the Knox Group (Lower Ordovician) which is truncated by a regional unconformity. A lower age limit of mineralization is constrained by the formation of solution-collapse breccia bodies, which are believed to be related to the post-Knox unconformity. The breccias contain irregularly distributed “sand” bodies that represent cavities filled with well-laminated and size-graded, sphalerite-bearing, detrital, internal sediments. The texture, composition, and fluid inclusion characteristics of the sphalerite, are consistent with its local derivation from the wallrocks as detrital grains. The conformability between the laminations in the sediments and the bedding planes of the host carbonate rocks suggests that the sand bodies formed prior to the regional deformation event (Alleghenian orogeny). The stylolitization of carbonate and sphalerite clasts in the internal sediments as well as the deformation of the sphalerite are also consistent with a pre-Alleghenian age for the emplacement of the main-stage sphalerite mineralization in the Mascot-Jefferson City district and, by analogy, in other Lower Ordovician-hosted Mississippi Valley-type districts of the southern Appalachians.