continuous wavelets
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2021 ◽  
Vol 14 (12) ◽  
pp. 613
Author(s):  
Aviral Kumar Tiwari ◽  
Emmanuel Joel Aikins Abakah ◽  
Luis A. Gil-Alana ◽  
Moses Kenneth Abakah

The economic literature provides evidence that inflation rates can co-move across nations because of a host of reasons, ranging from low frequency changes in monetary policy to similar high frequency shocks. Hence, this paper investigates inflation rate co-movements between nine (9) African countries and their bilateral linkages with five (5) developed economies using continuous wavelets at different time scales or frequencies. Specifically, we examine the coherency and the phase relationship in time-frequency space in inflation rates of the selected countries. Several findings are documented. First, inflation rates co-movements in the nine African countries are time varying, multi-scale, and characterized by structural breaks. In addition, we find that inflation co-movements across countries in the Africa sub-region is weak at low frequencies. Furthermore, we find evidence of inflation co-movement between Africa and developed economies, suggesting that central banks and policy-makers in Africa need to monitor international price developments, and analyze their implications for their domestic economies. Second, we find that inflation rates in the selected African countries explain, on average, almost 80% of their own inflation variance over the whole sample period. Spillover analysis reveals that China and Canada account for a greater percentage of inflation variation in Africa.


2021 ◽  
Vol 2 (4) ◽  
pp. 1
Author(s):  
Syed Myhammad Imran Majeed

Human cognition and intellect have always strived for improvement of the human condition. Improvements are primarily based upon development of new knowledge and its application. This remains the prime purpose of all research and its value.There is often a spatiotemporal disconnect between the occurrence of research and realization of its value. Translation of new knowledge into socio economically valuable application takes time. An apt example is as follow:Alfred Haar, a Hungarian mathematician-scientist, introduced the idea of HAAR orthogonal system through his doctoral thesis at University of Gottingen, Germany in 1909. Ingrid Daubechics, a Belgian mathematicianphysicist, working at Courount Institute of Mathematical Sciences at New York University, USA, in 1980s developed compactly supported continuous wavelets finding useful application of wavelet theory in digital signal processing especially image compression. Stephen Hallet, originally from France, also helped develop wavelet theory applications in signal and image processing. It took at least seven decades before valuable applications were developed based on Haar's theoretical concepts. New knowledge thus created through research, in one part of the world, may lead to production of valuable applications in a different part of theworld, at a different time.The puritan idea of research as enumerated above, has been corrupted with time. A lot of Ivory tower's research today is taking place to fulfil criteria of job placement and promotions. The concept of impact factor supports this purpose by providing a mechanism, howsoever flawed, of providing a quantitative mechanism to judge research capabilities of individuals and institutions. This lends greater impetus to self-serving researchthan to society serving. This impact factor approach appears to have helped increase the quantity of research, but certainly not its quality in terms of socio economic value.Much greater interaction between the elements of quadruple helix (of academia, industry, society and government) is required to improve our understanding to develop means for enhancing the ratio of socioeconomically valuable research to self serving one.By directing our endeavors to yield better fruits for the society as a whole, serves a far higher purpose and generates much greater value.


2021 ◽  
Vol 6 (10) ◽  
pp. 144
Author(s):  
Haoyu Xie ◽  
Riki Honda

For dynamic analysis in seismic design, selection of input ground motions is of huge importance. In the presented scheme, complex Continuous Wavelet Transform (CWT) is utilized to simulate stochastic ground motions from historical records of earthquakes with phase disturbance arbitrarily localized in time-frequency domain. The complex arguments of wavelet coefficients are determined as phase spectrum and an innovative formulation is constructed to improve computational efficiency of inverse wavelet transform with a pair of random complex arguments introduced and make more candidate wavelets available in the article. The proposed methodology is evaluated by numerical simulations on a two-degree-of-freedom system including spectral analysis and dynamic analysis with Shannon wavelet basis and Gabor wavelet basis. The result shows that the presented scheme enables time-frequency range of disturbance in time-frequency domain arbitrarily oriented and complex Shannon wavelet basis is verified as the optimal candidate mother wavelet for the procedure in case of frequency information maintenance with phase perturbation.


Author(s):  
Mohammed Rayeezuddin ◽  
B. Krishna Reddy ◽  
D. Sudheer Reddy

In this paper, we determine the factors necessary for the reconstruction of the signal from its continuous wavelet transform performed using the new complex continuous wavelet family by making use of admissible conditions and studied some of its properties. We also make a comparative assessment of its performance with the existing complex continuous wavelets, such as Morlet, Paul and DOG, in terms of reconstruction capability. The reconstruction was performed on three data sets, namely, a signal with a mixture of low and high frequencies, a non-stationary signal (synthetic) and an ECG signal. The results show that the proposed family of wavelets reconstruction capability is comparable with Morlet, Paul and DOG wavelets. Further, we investigate an alternate reconstruction formula without making use of admissibility condition and compare its efficiency of reconstruction with the standard (restricted) Morlet wavelet.


2020 ◽  
Vol 143 (3) ◽  
Author(s):  
Roberta Fátima Neumeister ◽  
Adriane Prisco Petry ◽  
Sergio Viçosa Möller

Abstract Flow-induced vibration of a single cylinder and two cylinders in tandem and side-by-side configurations is experimentally investigated in this paper in the subcritical regime. The natural frequency of the system varied from 8.8 Hz to 46.2 Hz. The mass ratio, m*, ranged between 158 and 643 while the damping ratio, ζ, between 0.0005 and 0.009. The pairs of cylinders present a spacing ratio of 1.26 (P/D and L/D). In all cases, one and both cylinders (BV) were free to vibrate. Experiments were performed in an aerodynamic channel with a constant height and a variable width, for the evaluation of the influence of the blockage ratio (BR), using accelerometers and hot wire anemometry. The reference velocity, measured at the entrance of the test section was used to calculate the reduced velocity, Vr = U/fnD, with values from 4 to 132 and the Reynolds number between 3 × 103 and 8 × 104. The root-mean-square-values of the displacement amplitudes, Y/D, were obtained through the integration of the acceleration signals. Fourier and continuous wavelets were employed in the analysis. For a single cylinder free to vibrate, the higher amplitudes occur at two distinct reduced velocities, associated with the vibration modes of the cylinder. The vibration amplitude of a single cylinder increased as the blockage ratio increased, decreasing for the highest blockage ratio investigated. For the case of cylinders in tandem, the presence of the fixed cylinder in the wake of the cylinder free to vibrate amplifies the vibration response at high reduced velocities. When the blockage ratio is increased, a sudden increase in the vibration amplitude is observed. When both cylinders are free to vibrate, the relation between the natural frequencies of both cylinders influences the response amplitudes. In the case with two cylinders side-by-side, the vibration amplitude remains similar to a single cylinder, but when both cylinders are free to vibrate, the presence and the influence of flow bistability is observed.


Water ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 1754 ◽  
Author(s):  
Zeineddine Nouaceur ◽  
Ovidiu Murarescu

This study concerns the West African Sahel. The Sahelian climate is characterized by a long dry season and a rainy season which starts in June and ends in September–October. This latter season is associated with the process of oceanic moisture transfer to the mainland (the West African Monsoon). This movement is governed by an overall moving of the meteorological equator and its low-pressure corridor (Intertropical Convergence Zone, ITCZ) towards the north, under the effect of the attraction of the Saharan thermal depressions and a greater vigor of the anticyclonic nuclei. This study was conducted on 27 Sahelian climatic stations in three countries (Burkina Faso, Mauritania, and Senegal). The method used to determine the modes of this variability and the trends of rainfall is the chronological graphic method of information processing (MGCTI) of the “Bertin Matrix” and continuous wavelets transform (CWT). Results show a rain resumption observed in the recent years over the Sahelian region and a convincing link with the surface temperature of the Atlantic Ocean.


2020 ◽  
Vol 8 (3) ◽  
pp. 893-897
Author(s):  
Gaddam Narsimulu ◽  
B Krishna Reddy ◽  
Rayeezuddin M.D.

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