Bilinear Transformation Method. By Y. MATSTJNO. Academic Press, 1984. 248 pp. £35.00.

1986 ◽  
Vol 163 ◽  
pp. 500-501
Author(s):  
R. S. Johnson
2021 ◽  
pp. 797-823
Author(s):  
Stevan Berber

Chapter 16 present the theoretical basis for digital filters, including issues related to their design. The basic characteristics and structures of finite impulse response and infinite impulse response filters are presented and discussed. In addition, the ideal and practical transfer characteristics of the digital filters are defined. The basic advantage of finite impulse response filters is that they can be designed to have an exact linear phase. However, infinite impulse response filters are generally more efficient computationally. The methods for filters design and related algorithms, which are based on the bilinear transformation method, windowed Fourier series, and algorithms based on iterative optimization, are also presented.


2016 ◽  
Vol 46 (3) ◽  
pp. 65-74 ◽  
Author(s):  
Ognyan Y. Kamenov

Abstract In the present paper, solitary solutions of the Kuramoto- Velarde (K-V) dispersive equation have been found, using the deformation and mapping approach. These exact solutions show the dynamics and the evolution of dispersive solitary waves. In the case α2 = α3, three families of exact periodic solutions have been obtained by employing the bilinear transformation method.


Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 533
Author(s):  
V. N. Stavrou ◽  
I. G. Tsoulos ◽  
Nikos E. Mastorakis

In this paper, the transfer functions related to one-dimensional (1-D) and two-dimensional (2-D) filters have been theoretically and numerically investigated. The finite impulse response (FIR), as well as the infinite impulse response (IIR) are the main 2-D filters which have been investigated. More specifically, methods like the Windows method, the bilinear transformation method, the design of 2-D filters from appropriate 1-D functions and the design of 2-D filters using optimization techniques have been presented.


Energies ◽  
2021 ◽  
Vol 14 (18) ◽  
pp. 5874
Author(s):  
Feng Cai ◽  
Ke Li ◽  
Xiaodong Sun ◽  
Minkai Wu

Electrically excited synchronous motor (EESM) has the characteristics of high order, nonlinear and strong coupling, so it is difficult to be controlled. However, it has the advantages of adjustable power factor, high efficiency, and high precision torque control, so it is widely used in high-power applications. The accuracy of a flux observer influences the speed control system of EESM. Based on state observer in modern control theory and electrical excitation synchronous machine state equation, a reduced-order flux observer is designed. Using the first-order difference method and forward bilinear transformation method, the reduced-order flux observer is discrete, and the stability of the motor system is analyzed. The analysis shows that the stability of the system using the bilinear transformation method is better than that using the first order forward difference method. In motor operation, motor parameters will be affected by the factors of temperature, magnetic saturation, and motor frequency. In this paper, the influence of parameter variation on the motor system is studied by using the variation of the pole distribution. Finally, the speed regulation system using the reduced-order observer is simulated, which verifies the accuracy of the reduced-order flux observer observation.


SIAM Review ◽  
1986 ◽  
Vol 28 (1) ◽  
pp. 91-92 ◽  
Author(s):  
Mark J. Ablowitz

2012 ◽  
Vol 610-613 ◽  
pp. 3680-3684
Author(s):  
De Li Liu ◽  
Nan Lin ◽  
Ya Shuang Zhang

Scanning digital aerial images as data source, using PhotoShop software and MapGis software measurement pixel coordinates of the 8frame point on photo , according to the camera parameters file provided fiducial mark on the image plane coordinate system coordinates the theory, using affine transformation method and bilinear transformation method, calculated the interior orientation parameters. Basing on this parameter calculates residual error of frame point coordinate, analyse and compare residual error which obtained by two kinds of measurement frame point pixel coordinates .Research shows that, the directional accuracy by using the MapGis measurement frame point pixel coordinates is higher than that by using PhotoShop measurement;


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