From IIR to FIR digital MIMO models a constructive Hankel norm approximation method /

This paper presents a constructive method to (sub)optimal finite impulse response (FIR) approximation of a given infinite impulse response (IIR) MIMO model. The method minimizes the Hankel norm of approximation error by using the explicit solution of norm-preserve dilation problem. It has the advantage over the existing methods that it provides an explicitly constructive solution and allows the trade-off between the Chebyshev and least square criteria. The lower and upper bounds on the H2 and H∞ norms of approximation error are given. The algorithm for approximating non-causal IIR filters by causal FIR filters is also formulated and solved. The effectiveness and properties of the proposed algorithm are demonstrated through two examples

Spatio-temporal characteristics of regional sustainable economic growth drivers of China

Intellectual capital (IC) has become a universal performance indicator for the socioeconomic development of countries and regions. Based on a review of national intellectual capital (NIC) and regional intellectual capital (RIC) evaluation literature, we used the regional intellectual capital indicator (RICI) as a model for China’s RIC evaluation to indirectly understand China’s potential economic growth drivers. Specifically, we collected statistical data of 31 provinces (including municipalities and autonomous regions) in China from 2004 to 2016 to measure RICI and analyze its dynamic characteristics from temporal and spatial perspectives. In this paper, Delphi analysis was used to construct RICI model, and cluster analysis and exploratory spatial data analysis were used to analyze the temporal and spatial characteristics of RICI in China. The results showed that RICI, which represents China’s overall economic growth drivers, increases annually and is consistent with economic development level during the study period. Regarding the geo-spatial space, RICI follows the trend of “high in the east and low in the west”, gradually decreasing from eastern to western China. For RIC structure, the shape of the radar chart of IC structure located in the eastern coastal areas is usually biased towards strong external relational capital, while that in western China is generally biased towards structural capital. For spatial correlation, China’s RICI has dependence on geographical adjacent space and economic space. Our research can provide policy suggestions for the sustainable development of regional economy from an IC perspective

Joint Application of Fractal Analysis and Weights-of-Evidence Method for Revealing the Geological Controls on Regional-Scale Tungsten Mineralization in Southern Jiangxi Province, China

The Southern Jiangxi Province (SJP) hosts one of the best known districts of tungsten deposits in the world. Delineating spatial complexities of geological features and their controls on regional-scale tungsten mineralization by using an integrated fractal and weights-of-evidence (WofE) method can provide insights into the understanding of ore genesis and facilitate further prospecting in this area. The box-counting fractal analysis shows that most of the tungsten occurrences are distributed in regions with high fractal dimensions of faults and fault intersections, suggesting ore-forming favorability of areas with highly complex structural patterns. The WofE-derived indices are employed to quantitatively measure the controls of analyzed features on mineralization, which illustrate that tungsten anomalies, faults, Yanshanian granites, and manganese anomalies have high contrast values, implying a spatially strong correlation of these features with tungsten occurrences. In particular, high manganese anomalies in host rock may provide a novel indication for mineral prospecting in this area. A predictive map is extracted based on the combination of fractal and WofE results, providing intuitive guides for future prospectivity in this area. Regions identified by high posterior probability in conjunction with high fractal dimensions of both faults and fault intersections are evaluated as the most favorable targets