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Polynomial Matrix Decomposition for Use in LBR Two-Pair Realizations
임일택,이병기,Maeng, Seung Joo 대한전자공학회 1994 ISPACS:Intelligent Signal Processing and Communica Vol.1 No.1
In this paper we present a polynomial matrix decomposition procedure such that, given a polynomial matrix V(z) which is paraconjugate hermitian matrix of normal rank r and positive semidefinite on the unit circle of z-plane, we can determine a polynomial matrix M(z) which satisfies the relation V(z) - M(z)M(z). Also, we discuss how to apply this polynomial matrix decomposition in realizations of MIMO LBR two-pairs.
WDF를 기반으로한 무손실 유계실수 제어 조건들의 유도
임일택,이병기 대한전자공학회 1994 전자공학회논문지-B Vol.b31 No.1
Among the various methods of realizing low sensitivity digital filters. LBR two-pair cascading is one which enables us to realize low sensitivity filter without referring to any analog prototype filters. In this paper we analyze the LBR cascade structures through the fundamental approach to them based on the WDF theory, and interpret their features described solely in the digital domain in relation to the corresponding analog circuit Besides, we derive in a unified manner various LBR constraints needed for the LBR cascade realization, point out the insufficiency lurking in the existing description of the Type 3 LBR constraints, complement it, and make the LBR two-pair cascading procedure complete.
임일택,이병기 대한전자공학회 1994 전자공학회논문지-B Vol.b31 No.8
The lossless bounded real(LBR) two-pair cascade structure is one of the exiting low-sensitivity digital filter structures such as wave digital filters(WDFs) orthogonal filters. They are known to have the same structures which are composed of canonic building blocks interconnected to each other. The LBR two-pair cascade filters amount to describing in a unified manner the existing canonic low-sensitivity filters in terms of transfer matrices and chain matrices. However the existing structures have somewhat degraded low-sensitivity performance because they include dependent parameters within their structures. In this paper we propose a filter structure called “two-type-interlaced(TTI) structure.” eliminating such problem completely. This structures can be viewed as the WDFs of analog ladder circuits. As ladder circuits are obtained by cascading Brune sections and merging neighboring inductors or capacitors. so TTI structures at e obtained by cascading Type 3 LBR two-pairs and merging neighboring Type 1 LBR two-pairs. Next, a test procedure called “LBR test” is also presented in this paper. which determines whether of not the quantized TTI structure is stable . If it is unstable we can fine-tune the quantized parameters to make the overall structure stable. Therefore we can solve the dependent parameter problem completely with TTI structure along with LBR test. test.
임일택,김인택 明知大學校 産業技術硏究所 1995 産業技術硏究所論文集 Vol.14 No.-
This paper presents the application of genetic algorithms to design of digital of digital filter with signed digit (SD) coefficients. We have demonstrated that the performance of the proposed method is superior to that of the conventional method in a given condition.
디지탈 영역에서의 다항식 행렬의 분해와 MIMO LBR 구현에의 응용
맹승주,임일택,이병기 대한전자공학회 1997 電子工學會論文誌, S Vol.s34 No.1
In this paper we present a polynomial matrix decomposition algorithm that determines a polynomial matix M(z) which satisfies the relation V(z)=M(z) for a given polynomial matrix V(z) which is paraconjugate hermitian matrix with normal rank r and is positive semidenfinite on the unit circle of z-plane. All the decomposition procedures in this proposed method are performed in the digitral domain. We also discuss how to apply the polynomial matirx decomposition in realizing MIMO LBR two-pairs.