Роль фахових кафедр в організації науково-дослідної діяльності студентів вищих навчальних закладів мистецького спрямування

У статті порушуються питання організації та надання консультативної допомоги щодо виконання кваліфікаційних робіт студентами і магістрантами вищих навчальних закладів мистецького спрямування. Пріоритет надається індивідуальній роботі наукового керівника зі студентом щодо змісту кваліфікаційної роботи, вибору методів і методик, запровадженню організаційно-педагогічних умов спрямованих на підвищення ефективності наукового дослідження

On Frequency-Domain Implementation of Digital FIR Filters Using Overlap-Add and Overlap-Save Techniques

In this paper, new insights in frequency-domain implementations of digital finite-length impulse response filtering (linear convolution) using overlap-add and overlap-save techniques are provided. It is shown that, in practical finite-wordlength implementations, the overall system corresponds to a time-varying system that can be represented in essentially two different ways. One way is to represent the system with a distortion function and aliasing functions, which in this paper is derived from multirate filter bank representations. The other way is to use a periodically time-varying impulse-response representation or, equivalently, a set of time-invariant impulse responses and the corresponding frequency responses. The paper provides systematic derivations and analyses of these representations along with filter impulse response properties and design examples. The representations are particularly useful when analyzing the effect of coefficient quantizations as well as the use of shorter DFT lengths than theoretically required. A comprehensive computational-complexity analysis is also provided, and accurate formulas for estimating the optimal DFT lengths for given filter lengths are derived. Using optimal DFT lengths, it is shown that the frequency-domain implementations have lower computational complexities (multiplication rates) than the corresponding time-domain implementations for filter lengths that are shorter than those reported earlier in the literature. In particular, for general (unsymmetric) filters, the frequency-domain implementations are shown to be more efficient for all filter lengths. This opens up for new considerations when comparing complexities of different filter implementations.Comment: 13 pages, 26 figure

Integer Linear Programming Modeling of Addition Sequences With Additional Constraints for Evaluation of Power Terms

In this work, an integer linear programming (ILP) based model is proposed for the computation of a minimal cost addition sequence for a given set of integers. Since exponents are additive under multiplication, the minimal length addition sequence will provide an economical solution for the evaluation of a requested set of power terms. This is turn, finds application in, e.g., window-based exponentiation for cryptography and polynomial evaluation. Not only is an optimal model proposed, the model is extended to consider different costs for multipliers and squarers as well as controlling the depth of the resulting addition sequence.Comment: This manuscript was written in 2012, and, hence, lacks more recent reference

Stochastic Analysis of LMS Algorithm with Delayed Block Coefficient Adaptation

In high sample-rate applications of the least-mean-square (LMS) adaptive filtering algorithm, pipelining or/and block processing is required. In this paper, a stochastic analysis of the delayed block LMS algorithm is presented. As opposed to earlier work, pipelining and block processing are jointly considered and extensively examined. Different analyses for the steady and transient states to estimate the step-size bound, adaptation accuracy and adaptation speed based on the recursive relation of delayed block excess mean square error (MSE) are presented. The effect of different amounts of pipelining delays and block sizes on the adaptation accuracy and speed of the adaptive filter with different filter taps and speed-ups are studied. It is concluded that for a constant speed-up, a large delay and small block size lead to a slower convergence rate compared to a small delay and large block size with almost the same steady-state MSE. Monte Carlo simulations indicate a fairly good agreement with the proposed estimates for Gaussian inputs.Comment: 13 pages, 8 figure

Особливості вживання часових форм у текстах художнього стилю (на матеріалі німецької мови)

(UA) У статті розглядається вживання часових форм дієслова як стилістичних засобів; розкриваються особливості реалізації та функціонування категорії часу з точки зору лінгвістики тексту.(EN) The article views the usage of the tense forms of the verb as stylistic devices in belles-lettres texts; it highlights the peculiarities of realization and functioning of the category “Time” from the point of view of linguistics of the text

Теоретичні основи інтеграції знань у системі вокально-хорової підготовки майбутнього вчителя музичного мистецтва

У статті визначено теоретичні основи інтеграції знань у системі вокально-хорової підготовки майбутнього вчителя музичного мистецтва, обґрунтовано суть інтегративного підходу до професійного навчання студентів педагогічного університету