Efficient calculation of line spectral frequencies based on new method for solution of transcendental equations

In this paper we consider methods for computing the necessary parameters when constructing the optimal scalar quantizers for Laplacian source. We investigate two approaches to the problem of finding the sets of optimal parameters. The first approach requires solving the transcendental equations, but provides nearly optimal values of the scalar quantizers’ parameters on successive manner. The proposed approach is an approximation method that linearizes transcendental equations providing simple and fast computing of scalar quantizers’ parameters. We demonstrate that the proposed technique provides parameters values that are very close to the optimal ones.

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New method of approximate solution of nonlinear algebraic and transcendental equations

Proceedings of the Kuban State Agrarian University ◽

10.21515/1999-1703-64-203-214 ◽

2017 ◽

Vol 1 (64) ◽

pp. 203-214

Author(s):

Nikolay Babaev ◽

◽

Georgiy Molotkov ◽

Margarita Shvec ◽

◽

...

Keyword(s):

Approximate Solution ◽

New Method ◽

Transcendental Equations

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A new method for least squares identification of parameters of the transcendental equations

International Journal of the Physical Sciences ◽

10.5897/ijps12.506 ◽

2012 ◽

Vol 7 (31) ◽

Cited By ~ 1

Author(s):

Kloppers P.H

Keyword(s):

Least Squares ◽

New Method ◽

Identification Of Parameters ◽

Transcendental Equations

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Selective Sampling and Orientation of Non-Homogeneous Tissues

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100100238 ◽

1968 ◽

Vol 26 ◽

pp. 98-99

Author(s):

C. C. Clawson ◽

L. W. Anderson ◽

R. A. Good

Keyword(s):

Electron Microscopy ◽

Electron Microscope ◽

Light Microscopy ◽

Random Sampling ◽

New Method ◽

Microscope Examination ◽

Small Areas ◽

Selective Sampling ◽

Large Numbers ◽

Specific Orientation

Investigations which require electron microscope examination of a few specific areas of non-homogeneous tissues make random sampling of small blocks an inefficient and unrewarding procedure. Therefore, several investigators have devised methods which allow obtaining sample blocks for electron microscopy from region of tissue previously identified by light microscopy of present here techniques which make possible: 1) sampling tissue for electron microscopy from selected areas previously identified by light microscopy of relatively large pieces of tissue; 2) dehydration and embedding large numbers of individually identified blocks while keeping each one separate; 3) a new method of maintaining specific orientation of blocks during embedding; 4) special light microscopic staining or fluorescent procedures and electron microscopy on immediately adjacent small areas of tissue.

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