Search results

This paper deals with the problem of input/output-to-state stability (IOSS) of direct-form digital filters, which simultaneously contain external disturbances and two's complement nonlinearity. The nonlinearity under consideration is confined to the sector [–1, 1], which contains saturation, zeroing, two's complement and triangular.

The proposed condition is based on IOSS approach, which is capable of providing a framework for checking and analysing the stability of nonlinear system based on input as well as output information.

A linear matrix inequality (LMI)-based new sufficient criterion for the IOSS of the suggested system is obtained. The obtained criterion is capable of detecting the output-to-state stability (OSS) and asymptotic stability of direct-form digital filters with zero external disturbances. In addition, state-norm estimator for the filter under consideration is constructed by adopting an exponential-decay IOSS criterion. Several examples are provided to illustrate the usefulness of the proposed criteria.

The result of the paper is introduced for the first time, and it is suitable for stability analysis of interfered direct-form digital filter with two's complement overflow using IOSS approach.

This paper is a survey and classification of a number of factors that relate directly to cost in the computer engineering design of arithmetic units. The general factors considered are inputs, gates, thresholds, algebras, inputs versus gates, values, reliability, implementability, and complexity. The paper contains some recent logic calculations by the author on gate versus input counts and reduction of complexity in the case of ternary logic.

The purpose of this paper is to establish a criterion for the global asymptotic stability of fixed-point state–space digital filters using saturation overflow arithmetic.

The method of stability analysis used in this paper is the second method of Lyapunov. The approach in this paper makes use of a precise upper bound of the state vector of the system and a novel passivity property associated with the saturation nonlinearities.

The presented criterion leads to an enhanced stability region in the parameter-space as compared to several existing criteria.

When dealing with the design of fixed-point state–space digital filters, it is desirable to have a criterion for selecting the filter coefficients so that the designed filter becomes free of overflow oscillations. The criterion presented in this paper provides enhanced saturation overflow stability region and therefore facilitates the designer greater flexibility in selecting filter parameters for overflow oscillation-free realization of digital filters.

The approach uses the structural properties of the saturation nonlinearities in a greater detail. The exploitation of upper bound of the system state vector together with a new passivity property of saturation nonlinearities is a unique feature of the present approach. The presented approach may lead to results not covered by several existing approaches.

The purpose of this paper is to present a criterion for global asymptotic stability of state-space direct-form digital filters employing saturation arithmetic.

An elegant use of induced l _∞ approach (also known as a peak-to-peak approach) is made to develop a criterion for the overflow stability of state-space direct-form digital filters.

The criterion not only guarantees asymptotic stability but also reduces the effect of external interference. The presented method yields better interference attenuation level as compared to a recently reported method. Numerical examples are given to illustrate the effectiveness of the proposed method.

Digital filters are important dynamical systems in signal processing which are used for the processing of discrete signals. During the implementation of higher-order digital filter in hardware or software, introduction of external interference is unavoidable. Therefore, stability analysis of digital filters in the presence of external interference is of much practical importance.

The main result of the paper is reported for the first time and it is useful to establish the asymptotic stability of digital filters in the presence of external disturbances.

The purpose of this paper is to develop a new criterion for the exponential stability and

_∞ performance of state-space digital filters under the influence of any combination of quantization/overflow nonlinearities.

The proposed criterion uses the

_∞ approach that is suitable for the design of discrete system in the presence of external disturbance. Analysis and synthesis in an

_∞ setting is advantageous as it proposes effective disturbance attenuation, less sensitivity to uncertainties and many practical applications.

The criterion not only guarantees exponential stability but also reduces the effect of external interference. A numerical example demonstrating the effectiveness of the proposed method is given.

The main result of the paper is reported for the first time and it is useful to ensure the stability of digital filters in the presence of external disturbance and any combination of quantization/overflow nonlinearities.

The purpose of this paper is to state new formulation of the programme‐styled framework of pansystems research and related expansions.

Pansystems‐generalized extremum principle (0**: (dy/dx=0)**) is presented with recognitions to various logoi of philosophy, mathematics, technology, systems, cybernetics, informatics, relativity, biology, society, resource, communications and related topics: logic, history, humanities, aesthetics, journalism, IT, AI, TGBZ* <truth*goodness*beauty*Zen*>, etc. including recent rediscoveries of 50 or so pansystems logoi.

A keynote of the paper is to develop the deep logoi of the analytic mathematics, analytic mechanics, variational principles, Hilbert's sixth/23rd problems, pan‐axiomatization to encyclopedic principles and various applications. The 0**‐universal connections embody the transfield internet‐styled academic tendency of pansystems exploration.

The paper includes topics: history megawave, pansystems sublation‐modes, pan‐metaphysics, pansystems dialogs with logoi of 100 thinkers or so, and pansystems‐sublation for a series of logoi concerning the substructure of encyclopedic dialogs such as systems, derivative, extremum, quantification, variational principle, equation, symmetry, OR, optimization, approximation, yinyang, combination, normality‐abnormality, framework, modeling, simulation, relativity, recognition, practice, methodology, mathematics, operations and transformations, quotientization, product, clustering, Banach completeness theorem, Weierstrass approximation theorem, Jackson approximation theorem, Taylor theorem, approximation transformation theorems due to Walsh‐Sewell mathematical school, Hilbert problems, Cauchy theorem, theorems of equation stability, function theory, logic, paradox, axiomatization, cybernetics, dialectics, multistep decision, computer, synergy, vitality and the basic logoi for history, ethics, economics, society OR, aesthetics, journalism, institution, resource and traffics, AI, IT, etc.

In 1966, Clive Bingley described a blurb: A good blurb has a beginning, a middle and an end, a light style and a definite point to make about the content or purpose of the book, as well as an expression of the publisher's own confidence in its merits. This definition specifies that a good blurb contains at least the elements of book praise and book subject matter. Based upon Bingley's definition wide‐ranging and indepth analysis were carried out both within the blurbs of one book and between several books. The sample of books selected for the study were drawn from the fields of sociology, education and psychology and were analysed by the four elements of an analytical framework. Element one of the framework concerned the presence or absence of praise or subject matter in a blurb. Element two dealt with the substantive categories of these two variables. Element three related to a set of other blurb descriptors. Element four consisted of an additional set of variables describing the books of the sample. Combination of simple marginal and cross‐tabulational analysis with appropriate parametric and non‐parametric statistical methods were applied for analysing each element and the relationship of all four elements. The most salient finding was that the Bingley definition proved to serve as a valuable heuristic tool for blurbology, i.e. the scientific study of the blurb. Operationally this meant that no blurbs were found that lacked information concerning praise and subject matter. Further, it was found that praise was a ubiquitous phenomenon. It appeared in over 95% of the blurbs and was consistently high both within and between books. On the other hand, the appearance of other blurb content and descriptor variables was less frequent and more diffuse. There was no evidence of any systematic relationship between book descriptor variables and blurb content. Suggestions for objective and independent research testing blurb selling power were submitted.

TURBO‐UNION LIMITED, a joint company set up by Rolls‐Royce in the UK, Motoren‐ und Turbinen Union in West Germany, and Fiat in Italy, is reponsible for design, development and manufacture of the RB 199 engine powering the European multi‐role combat aircraft.

.Counter Competition. SUPERMARKETS and private shopkeepers battle for business in every High Street. In all shopping centres the private trader competes for the customer's cash with chain and departmental stores. He finds life increasingly difficult in face of rising overheads and shrinking profit margins.

PERHAPS the most remarkable example in the history of science of classification employed as an engine of discovery, is that afforded by Mendeléeff's classification of the chemical elements, according to their atomic weights, resulting in the formulation of what is known as the Periodic Law.