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An Improved Frequency Modeling Corresponding to the Location of the Anjok of the Gayageum
Author(s) -
Sangjin Cho
Publication year - 2014
Publication title -
the journal of the acoustical society of korea
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.162
H-Index - 2
eISSN - 2287-3775
pISSN - 1225-4428
DOI - 10.7776/ask.2014.33.2.146
Subject(s) - mean squared error , mathematics , root mean square , square root , exponential function , statistics , function (biology) , exponential growth , integrator , linear regression , approximation error , square (algebra) , mathematical analysis , physics , computer science , geometry , telecommunications , bandwidth (computing) , quantum mechanics , evolutionary biology , biology
This paper analyzes the previous Anjok model of the Gayageum and describes a method to improve the frequency modeling based on previous model. In the previous work, relation between the fundamental frequency and Anjok`s location on the body is assumed as an exponential function and these frequencies are integrated by a first-order leaky integrator. Finally, a parameter of the formula to calculate the fundamental frequency is obtained by applying integrated frequencies to the linear regression. This model shows 2.5 Hz absolute deviation on average and has maximum error 7.75 Hz for the low fundamental frequencies. In order to overcome this problem, this paper proposes that the Anjok`s locations are grouped according to the rate of error increase and linear regression is applied to each group. To find the optimal parameter, the RMSE(Root Mean Square Error) between measured and calculated fundamental frequencies is used. The proposed model shows substantial reduction in errors, especially maximum three times.

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