Harmonic analysis of periodic discontinuous functions (new method). Part I—Exponential functions

1979 ◽  
Vol 67 (6) ◽  
pp. 952-953 ◽  
Author(s):  
M.A. Slonim
Keyword(s):  
Harmonic Analysis ◽  
New Method ◽  
Exponential Functions ◽  
Discontinuous Functions

scholarly journals A New Method for Power Signal Harmonic Analysis

2005 ◽  
Vol 20 (2) ◽  
pp. 1235-1239 ◽  
Author(s):  
J.-Z. Yang ◽  
C.-S. Yu ◽  
C.-W. Liu
Keyword(s):  
Harmonic Analysis ◽  
New Method

Harmonic Analysis Based on Modified Hyperbolic S-Transform

2015 ◽  
Vol 733 ◽  
pp. 906-909
Author(s):  
Lin Lin ◽  
Jia Jin Qi ◽  
Xiao Huan Wu ◽  
Hong Xin Ci ◽  
Shang Qun Yang
Keyword(s):  
Harmonic Analysis ◽  
Harmonic Component ◽  
New Method ◽  
New Approach ◽  
High Noise ◽  
Noise Environment ◽  
Harmonic Control ◽  
S Transform ◽  
Simulation Results

Harmonic analysis is the foundation of harmonic control and compensation. The voltage signals with harmonic component is difficult to analysis under noise environment. This paper proposed a new approach for harmonic analysis based on Hyperbolic S-transform. Firstly, the affection for harmonic analysis by different characters of the hyperbolic window including forward-taper parameter and backward-taper parameter is compared. Secondly, the modified Hyperbolic S-transform with optimal characters is used for harmonic analysis. Finally, the analysis result of the new approach is compared with other methods. Simulation results show the effectiveness and advantages of the new method. It is very satisfied for harmonic analysis under high noise environments.

An Eighth Order Exponentially Fitted Method for the Numerical Solution of the Schrödinger Equation

1998 ◽  
Vol 09 (02) ◽  
pp. 271-288 ◽  
Author(s):  
T. E. Simos
Keyword(s):  
Schrödinger Equation ◽  
Numerical Solution ◽  
Numerical Integration ◽  
Schrodinger Equation ◽  
New Method ◽  
Exponential Functions ◽  
Eighth Order ◽  
Exponentially Fitted ◽  
Exponentially Fitted Method ◽  
Free Parameters

An eighth order exponentially fitted method is developed for the numerical integration of the Schrödinger equation. The formula considered contains certain free parameters which allow it to be fitted automatically to exponential functions. This is the first eighth order exponentially fitted method in the literature. Numerical results also indicate that the new method is much more accurate than other classical and exponentially fitted methods.

scholarly journals A harmonic analysis of exponential decay

2020 ◽  
Author(s):  
David Lawunmi ◽  
Soodamani Ramalingam
Keyword(s):  
Harmonic Analysis ◽  
Exponential Function ◽  
Exponential Decay ◽  
Harmonic Functions ◽  
Exponential Functions ◽  
Single Exponential Function ◽  
Single Exponential

We analyse the decay of a single exponential function and develop an algorithm to determine the exponent and the constant, C, (C exp(-kt)) associated with this function . In essence this approach involves `transforming' exponential functions into harmonic functions. This manoeuvre allows techniques that are used to analyse harmonic functions to be used to characterise decaying exponential functions.

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