Uncategorized (UC)http://repository.unhas.ac.id:80/handle/123456789/62017-07-22T16:10:14Z2017-07-22T16:10:14ZLogarithmic uncertainty principle, convolution theorem related to continuous fractional wavelet transform and its properties on a generalized sobolev spaceBahri, Mawardihttp://repository.unhas.ac.id:80/handle/123456789/248342017-07-22T08:39:39Z2017-07-22T00:00:00ZLogarithmic uncertainty principle, convolution theorem related to continuous fractional wavelet transform and its properties on a generalized sobolev space
Bahri, Mawardi
The continuous fractional wavelet transform (CFrWT) is a nontrivial generalization of the classical wavelet transform (WT) in the fractional Fourier transform (FrFT) domain. Firstly, the Riemannâ€“Lebesgue lemma for the FrFT is derived, and secondly, the CFrWT in terms of the FrFT is introduced. Based on the CFrWT, a different proof of the inner product relation and the inversion formula of the CFrWT are provided. Thereafter, a logarithmic uncertainty relation for the CFrWT is investigated and the convolution theorem related to the CFrWT is established using the convolution of the FrFT. The CFrWT on a generalized Sobolev space is introduced and its important properties are presented.
2017-07-22T00:00:00ZSome Useful Properties of Ambiguity Function Associated with Linear Canonical TransformBahri, Mawardihttp://repository.unhas.ac.id:80/handle/123456789/248332017-07-22T08:28:00Z2017-07-22T00:00:00ZSome Useful Properties of Ambiguity Function Associated with Linear Canonical Transform
Bahri, Mawardi
The ambiguity function associated with the linear canonical transform (LCT) is a generalization of the one-dimensional ambiguity function using the linear canonical transform, called the linear canonical ambiguity function (LCAF). We first investigate its basic properties such as the complex conjugation, translation and modulation. These properties are extensions of the corresponding versions of the classical ambiguity function. Using the basic relationship between the LCT and LCAF, we derive the inversion and Moyal formulas for the LCAF. Based on a convolution theorem for the LCT, we propose the convolution theorem related to LCAF. Finally, through simulation example, we demonstrate how the proposed convolution generalizes the formulation of the classical ambiguity function convolution.
2017-07-22T00:00:00ZA Variation on Uncertainty Principle and Logarithmic Uncertainty Principle for Continuous Quaternion Wavelet TransformsBahri, Mawardihttp://repository.unhas.ac.id:80/handle/123456789/248322017-07-22T08:19:25Z2017-07-22T00:00:00ZA Variation on Uncertainty Principle and Logarithmic Uncertainty Principle for Continuous Quaternion Wavelet Transforms
Bahri, Mawardi
The continuous quaternion wavelet transform (CQWT) is a generalization of the classical continuous wavelet transform within the context of quaternion algebra. First of all, we show that the directional quaternion Fourier transform (QFT) uncertainty principle can be obtained using the component-wise QFT uncertainty principle. Based on this method, the directional QFT uncertainty principle using representation of polar coordinate form is easily derived. We derive a variation on uncertainty principle related to the QFT. We state that the CQWT of a quaternion function can be written in terms of the QFT and obtain a variation on uncertainty principle related to the CQWT. Finally, we apply the extended uncertainty principles and properties of the CQWT to establish logarithmic uncertainty principles related to generalized transform.
2017-07-22T00:00:00ZSENSITIVITY ANALYSIS OF SUPPLY-DEMAND MODEL OF JENEBERANG RIVER CONSTRUCTION MATERIALS, SOUTH SULAWESIAnas, Aryanti VirtantiSuriamihardja, Dadang AhmadPallu, Muhammad SalehIrfan, Ulva RiaIrfan, Ulvahttp://repository.unhas.ac.id:80/handle/123456789/248312017-07-21T22:50:47Z2017-03-01T00:00:00ZSENSITIVITY ANALYSIS OF SUPPLY-DEMAND MODEL OF JENEBERANG RIVER CONSTRUCTION MATERIALS, SOUTH SULAWESI
Anas, Aryanti Virtanti; Suriamihardja, Dadang Ahmad; Pallu, Muhammad Saleh; Irfan, Ulva Ria; Irfan, Ulva
Jeneberang River is mined in order to fulfil construction materials demand of Gowa Regency and Makassar City. The aim of this study were to develop the dynamical system for supply-demand model suitable for prospecting the future of construction materials and using the model to explore effects of parameter uncertainty by using sensitivity analysis, and to know how changing in parameters cause change in dynamic behaviour of supply and demand. Primary data were collected through field survey and secondary data were obtained from Central Bureau Statistics of Gowa Regency and Makassar City, and Department of Mines and Energy of Gowa Regency. The supply-demand model was built based on multiple regression analysis, validated against field data, and proved well-performed. This study presented a new prediction model of construction materials supply and demand in dynamical system through simulation by using sensitivity analysis. The model is beneficial to learn the behaviour of supply-demand interaction and very useful to provide information about future supply and demand sensitivity based on uncertain parameters.
2017-03-01T00:00:00Z