摘要:

AbstractThe theory of real wave digital filters (WDFs) is extended to complex WDFs. A fundamental requirement turns out to be that of one‐realness, a complex impedance in the reference filter being called one‐real if it is real for Ψ = 1, where Ψ is the equivalent complex frequency. The only new components then required are complex multipliers with unimodular coefficients, but the adaptors are just as in the real case. The stability properties known for real WDFs can, in this way, also be ext

ISSN:0098-9886    

DOI:10.1002/cta.4490090202

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1981

数据来源: WILEY

摘要:

AbstractIn this paper we give a systematic treatment of the exact and approximate realization of a positive real matrix‐valued function on the open unit disc by means of a lossless circuit connected to a passive load. We discuss the mathematical properties of the chain scattering matrix which describes the lossless circuit and rederive a form of the classical Darlington synthesis theorem generalized to roomy matrix‐valued transmission functions. We then develop a matrix version of an algorithm due to Schur for the construction of approximate realizations which produces (minimal degree) Nevanlinna–Pick approximants to the original positive real matrix. We further identify the normalized inverse of one of the outer factors of the approximant to the positive real matrix as the orthogonal projection of the identity onto a suitably defined subspace, give its interpretation as a reproducing kernel, and establish strong convergence under mild conditions on the growth of the order of the approximation. Finally we interpret and apply the mathematical theory developed in the body of the paper to the theory of prediction for vector‐valued second order stationary stochastic sequences and briefly discuss connections with the theory of maximum entropy extensions and of inverse sca

ISSN:0098-9886    

DOI:10.1002/cta.4490090203

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1981

数据来源: WILEY

摘要:

AbstractThe paper is concerned with applications of the standard Nevanlinna–Pick problem in various technical domains, namely the following: interpolation by reflectance functions, polynomial stability checking, cascade synthesis of passive one‐ports, and model reduction with a Hankel norm criterion. Some fundamental results on the Nevanlinna–Pick problem are shown to be of a definite interest in each of these sub

ISSN:0098-9886    

DOI:10.1002/cta.4490090204

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1981

数据来源: WILEY

摘要:

AbstractIn this paper the non‐minimal real state‐space realization forn‐dimensional transfer functions with polylinear numerators and denominators is stated and proved. It is also shown that the every existing realization of ann‐dimensional transfer function can be achieved from the companion matrix of some (n+ 1)‐variable polynomial linear with respect to one of its

ISSN:0098-9886    

DOI:10.1002/cta.4490090205

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1981

数据来源: WILEY

摘要:

AbstractA linear graph representation of the passive section in a multiple‐amplifier active filter is used to characterize the general transfer‐function matrix. This enables unification of a wide range of single and double‐amplifier circuits. In the case of a single internal node, some familiar active‐RCand new active‐Rconfigurations emerge. As examples, a second‐order lowpass ‘partial active‐R’ structure of low sensitivity is developed as well as a two‐amplifier active‐Rfilter which exploits the internal node to provide higher selectivity and incr

ISSN:0098-9886    

DOI:10.1002/cta.4490090206

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1981

数据来源: WILEY

摘要:

AbstractA procedure is described in which the output characteristics of an integrated circuit are optimized with respect to a set of variable fabrication parameters. A simpleRCcoupled audio amplifier is used as an example. The gain–bandwidth product is obtained as a function of oxidation and diffusion times and temperatures, and the optimization is performed by way of a line search using these variables as the parameters of the optimization. The values established for the process parameters are consistent with those employed for conventional fabrication, and desired changes in performance can be obtained, in general, by a straightforward readjustment of the values of the process variables. Although limited by certain assumptions and a relatively primitive circuit, the results demonstrate the validity of the procedur

ISSN:0098-9886    

DOI:10.1002/cta.4490090207

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1981

数据来源: WILEY

摘要:

AbstractA general investigation of the nature of an iterative,LClattice structure, shown to function as a transmission channel capable of carrying two distinct wave modes, is carried out. Both a uniform system and an inhomogeneous case where the capacitor values vary slowly down the lattice structure are considered. Emphasis is placed on a formal and numerical investigation of basic wave properties and their significance with regard to signal transmission, crosstalk suppression, plus the particularly interesting phenomenon of one mode converting to the other which is found to occur in the inhomogeneous case. Potential uses of the lattice such as simulated wave studies, among others, are suggested. Relations for termination impedances are derived, and special cases involving different combinations of excitation and termination conditions are considered.

ISSN:0098-9886    

DOI:10.1002/cta.4490090208

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1981

数据来源: WILEY

ISSN:0098-9886    

DOI:10.1002/cta.4490090209

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1981

数据来源: WILEY

ISSN:0098-9886    

DOI:10.1002/cta.4490090210

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1981

数据来源: WILEY

ISSN:0098-9886    

DOI:10.1002/cta.4490090211

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1981

数据来源: WILEY