Haar Function Interval Points

2007 ◽  
Keyword(s):  
Haar Function

scholarly journals General discrepancy estimates II: the Haar function system

1994 ◽  
Vol 67 (4) ◽  
pp. 313-322 ◽  
Author(s):  
Peter Hellekalek
Keyword(s):  
Function System ◽  
Haar Function

A Musical Use for the Haar Function Wavelet

2005 ◽  
Author(s):  
Daryl Caswell
Keyword(s):  
Frequency Domain ◽  
Time Domain ◽  
Near Field ◽  
French Horn ◽  
Sound Analysis ◽  
Concert Hall ◽  
Analysis Techniques ◽  
Haar Function ◽  
Musical Tone ◽  
The Time Domain

The utility of the Haar function wavelet has long been dismissed due to its inability to transpose between the time domain and the frequency domain. However, the Haar function possesses attributes that make it an ideal wavelet for certain applications. In this paper, we explore the use of the Haar function as a means to expose aspects of musical tone that are not available through other sound analysis techniques. Specifically, the method presented here was used to identify the differences in the tone of the French Horn created by different acoustically reflective surfaces placed in the near field of the horn bell. The fundamentals of the Haar function wavelet are described and its use as a signal analyzer is explained. Results are shown that demonstrate the effect of two different kinds of sound reflectors constructed for a major North American concert hall.

Numerical solution for singular differential equations using Haar wavelet

2020 ◽  
Vol 11 (05) ◽  
pp. 2050038
Author(s):  
Shitesh Shukla ◽  
Manoj Kumar
Keyword(s):  
Differential Equations ◽  
Error Analysis ◽  
Numerical Solution ◽  
Ordinary Differential Equations ◽  
System Analysis ◽  
Operational Matrix ◽  
Haar Wavelet ◽  
Basic Tool ◽  
Singular Differential Equations ◽  
Haar Function

The aim of this paper is to obtain the numerical solution of singular ordinary differential equations using the Haar-wavelet approach. The proposed method is mathematically simple and provides highly accurate solutions. In this method, we derive the Haar operational matrix using Haar function. Haar operational matrix is a basic tool and applied in system analysis to evaluate the numerical solution of differential equations. The convergence of the proposed method is discussed through its error analysis. To illustrate the efficiency of this method, solutions of four singular differential equations are obtained.

scholarly journals Using Sharpness Image with Haar Function for Urban Atmospheric Visibility Measurement

2010 ◽  
Vol 10 (4) ◽  
pp. 323-330 ◽  
Author(s):  
Jiun-Jian Liaw ◽  
Ssu-Bin Lian ◽  
Yung-Fa Huang ◽  
Rung-Ching Chen
Keyword(s):  
Haar Function ◽  
Atmospheric Visibility
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