Some New Fractional Difference Inequalities

Deekshitulu, G. V. S. R.; Mohan, J. Jagan

doi:10.1007/978-3-642-28926-2_44

Cited by 9 publications

(7 citation statements)

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“…The complete physical significance of (Δf t ) 1 2 can be observed in [19] as it involves complex nature during transformation. In this way entire aperiodic path of x (τ) is traced with peak of guassian window until β +1 ≅ β .…”

Section: Physical Methods For Proposed Algorithmmentioning

confidence: 99%

Time Frequency analysis of Non-Stationary signals by Differential frequency window S –Transform

Krishna¹,

Srinivas²,

Gopal³

et al. 2018

IJET

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The S transform is an extension of Short Time Fourier Transform and Wavelet transform, has a time frequency resolution which is far from ideal. A differential frequency window is proposed in this paper to enhance the time frequency energy localization. When a non stationary signal consists of abrupt amplitude variation equal to peak of Gaussian function at initial intervals of chosen guassian window, then some part of the signal amplitude will be nullified during transform projection. The major function of differential frequency window is to track all abrupt amplitude-frequency variations which exploits in non -stationary signals. A mathematical method namely Newton Raphson method is adopted for this trace. The proposed scheme is tested for ECG data in presence of noise environment and results shows that proposed algorithm produces better enhanced energy localization in comparison to the standard S -Transform, STFT, and CWT. Furthermore the above algorithm is implemented on FPGA for real time applications.

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Section: Physical Methods For Proposed Algorithmmentioning

confidence: 99%

Time Frequency analysis of Non-Stationary signals by Differential frequency window S –Transform

Krishna¹,

Srinivas²,

Gopal³

et al. 2018

IJET

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“…G.V.S.R.Deekshitulu and J.Jagan Mohan [2] rearranged the terms in Atsushi Nagai's [11] definition for 0 < α < 1 in such a way that the expression for ∇ α does not involve any difference operator and the term (−1) j inside the summation index as follows.…”

Section: Preliminariesmentioning

confidence: 99%

“…G.V.S.R. Deekshitulu and J. Jagan Mohan [2] modified the definition of fractional difference given by Atsushi Nagai [11] and discussed some basic inequalities, comparison theorems and qualitative properties of the solutions of fractional difference equations [2,3,4,5,6].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Monotone Iterative Technique for Finite System of Fractional Difference Equations

Purnima¹,

Deekshitulu²

2017

Int. J. of Pure and Appl. Math.

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“…A. Nagai [10] adopted another definition for fractional difference by modifying Hirota's definition. Recently, G. V. S. R. Deekshitulu and J. Jagan Mohan [2] slightly modified the definition of A. Nagai [10] and discussed some basic inequalities, comparison theorems and qualitative properties of the solutions of fractional difference equations [2,3,4,5,6].…”

Section: Introductionmentioning

confidence: 99%