A Fast Eigen Solution for Homogeneous Quadratic Minimization with at most Three Constraints

We propose an eigenvalue based technique to solve the Homogeneous Quadratic Constrained Quadratic Programming problem (HQCQP) with at most 3 constraints which arise in many signal processing problems. Semi-Definite Relaxation (SDR) is the only known approach and is computationally intensive. We study the performance of the proposed fast eigen approach through simulations in the context of MIMO relays and show that the solution converges to the solution obtained using the SDR approach with significant reduction in complexity.Comment: 15 pages, The same content without appendices is accepted and is to be published in IEEE Signal Processing Letter

Social costs and benefits of micro irrigation system adoption in canal commands: a study from IGNP command area of Bikaner in Rajasthan

Irrigation systemsDrip irrigationSprinkler irrigationCrop productionWater productivityLivestockCost benefit analysis

Economic value of water in agriculture: comparative analysis of a water-scarce and water-rich region in India

Water productivityEconomic evaluationCrop productionIrrigated farmingWater costsWellsLivestockMilk production

Effect of Jitter on the Settling Time of Mesochronous Clock Retiming Circuits

It is well known that timing jitter can degrade the bit error rate (BER) of receivers that recover the clock from input data. However, timing jitter can also result in an indefinite increase in the settling time of clock recovery circuits, particularly in low swing mesochronous systems. Mesochronous clock retiming circuits are required in repeaterless low swing on-chip interconnects. We first discuss how timing jitter can result in a large increase in the settling time of the clock recovery circuit. Next, the circuit is modelled as a Markov chain with absorbing states. The mean time to absorption of the Markov chain, which represents the mean settling time of the circuit, is determined. The model is validated through behavioural simulations of the circuit, the results of which match well with the model predictions. We consider circuits with (i) data dependent jitter, (ii) random jitter, and (iii) combination of both of them. We show that a mismatch between the strengths of up and down corrections of the retiming can reduce the settling time. In particular, a 10% mismatch can reduce the mean settling time by up to 40%. We leverage this fact toward improving the settling time performance, and propose useful techniques based on biased training sequences and mismatched charge pumps. We also present a coarse+fine clock retiming circuit, which can operate in coarse first mode, to reduce the settling time substantially. These fast settling retiming circuits are verified with circuit simulations.Comment: 23 pages, 40 figure

Elliptic flow of thermal photons in relativistic nuclear collisions

We predict the transverse momentum (pT) dependence of elliptic flow of thermal photons for Au+Au collisions at the Relativistic Heavy Ion Collider. We model the system hydrodynamically, assuming formation of a thermalized quark-gluon plasma at some early time, followed by cooling through expansion, hadronization and decoupling. Photons are emitted throughout the expansion history. Contrary to hadron elliptic flow, which hydrodynamics predicts to increase monotonically with pT, the elliptic flow of thermal photons is predicted to first rise and then fall again as pT increases. Photon elliptic flow at high pT is shown to reflect the quark momentum anisotropy at early times when it is small, whereas at low pT it is controlled by the much larger pion momentum anisotropy during the late hadronic emission stage. An interesting structure is predicted at intermediate pT ~ 0.4 GeV/c where photon elliptic flow reflects the momenta and the (compared to pions) reduced v2 of heavy vector mesons in the late hadronic phase.Comment: 4 pages, 4 figures. Amended Fig. 3 and corresponding discussion, with complete explanation of the low-pT structure of photon elliptic flow around pT=400 MeV/

Mineralogy of soils of major geomorphic units of north-eastern Haryana, India

The study was carried to determine the mineralogy of soils of different geomorphic units for providing the more detailed information needed to improve agricultural production in north-eastern part of Haryana. The soils of the study area were slightly acidic to strongly alkaline in reaction (6-9.4). The cation exchange capacity and electrical conductivity varied from 3.10-26.80 cmol (+) kg-1 and 0.16-1.20 dSm-1, respectively. In general, the soils were siliceous in nature with SiO2 ranging from 68.60 to 87.90 percent. The soil samples from surface and subsurface diagnostic horizons were studied through X-ray diffraction. In fine sand, quartz was the dominant mineral followed by feldspars, muscovite, hornblende, tourmaline, zircon, biotite, iron ores and sphene. In silt fraction, quartz was the dominant mineral followed by mica, feldspars, chlorite, kaolinite, interstratified and traces of smectite and vermiculite. Semi-quantitative estimation of clay fraction indicated that illite was the single dominant mineral in the clay fraction of these pedons, however, its quantity was less in alluvial plains (28-30 %) compared to Shiwalik hills (36-49 %). Next to illite, a high amount of smectite (14-20 %) and vermiculite (11-17 %) were observed in clays of alluvial plains of Ghaggar (recent and old) whereas in Shiwalik hills (top and valley) these minerals were detected in small amount (6-11 %). Fairly good amount of kaolinite (10-17 %) and small amount of chlorite (4-11 %) were uniformly distributed in soil clays irrespective of geomorphic units showing their detrital origin. Medium intensity broad peaks in higher range diffractograms (14-24 AËš) indicated the presence of regular and irregular interstratified minerals in old alluvial plains of Ghaggar

Correlation of trunk cross sectional area with fruit yield, quality and leaf nutrient status in plum under North West Himalayan region of India

An experiment was conducted to study the correlation of trunk cross sectional area (TCSA) with fruit yield, quality and leaf nutrient status in plum at ICAR-Central Institute for Temperate Horticulture, Srinagar, Jammu and Kashmir during 2013-14. The TCSA (110.45, 118.23, 123.45, 131.67, 139.25, 146.82, 152.37 and 161.26 cm2) was based on their trunk girth at 15 cm above the ground. Maximum canopy volume (23.14m3 and fruit number 128/ tree) were recorded when TCSA was highest (161.26cm2). Maximum fruit weight (58.85g) was recorded with 123.45cm2 TCSA. Fruit yield and productivity efficiency (59.47kg/ tree and 0.29kg/ cm2) were recorded with 152.37cm2 TCSA. Fruit size (47.45 x 44.12mm), pulp weight (57.54g) and pulp/stone ratio (43.92) were recorded with 123.45cm2 TCSA. Maximum TSS (19.450B), total sugar (13.98%) and reducing sugar (11.46%) were recorded with 161.26 cm2 TCSA. Non-reducing sugar (2.53%) was recorded with 118.23cm2 TCSA. Higher leaf nitrogen, phosphorus and potassium content (2.38, 0.19 and 1.95%) was observed with 161.26 cm2 TCSA. A positive and significant correlation was noticed between TCSA and canopy volume (0.995), fruit number (0.992), yield (0.968), pulp/stone ratio (0.903), TSS (0.977), total sugar (0.937), reducing sugar (0.920), non-reducing sugar (0.048), leaf N (0.971), leaf P (0.977) and leaf K (0.997) value in plum variety Santa Rosa under North West Himalayan region of India

A New Subclass of Meromorphic Starlike Functions Associated with Q-Hypergeometric Functions

The fractional calculus operator has used in various field of sciences, GFT and in the engineering, if we extend the ordinary fractional calculus in the q-theory we get fractional q-calculus operator. In this paper by making use of fractional q-calculus operator we have introduced a new subclass of Meromorphic starlike functions N_q (? ,? ,?) defined in the open disk and determined coefficient estimate, neighbourhood result, subordination results, extreme points and partial sums for the functions belonging to this class