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EN
Beating sinusoids are an interesting case of a simultaneous change of intensity and frequency achieved without the need of a modulator. Studies of the perception of beats provide numerous data concerning also the sound pitch perception. Hitherto, the following conclusions have been made from those studies: i) if the amplitude of one tone is much larger than the amplitude of the other one, of the two-tone complex, the pitch shifts towards the frequency of the larger amplitude tone; ii) if the amplitudes of the two tones are the same, the pitch is localized precisely at the arithmetic average of the two tone frequencies. These statements imply therefore, that a symmetry with respect to the arithmetic average frequency of the two-tone beatings is present in the pitch localization on the frequency scale. Most recent studies show, however, that this symmetry is not always maintained. In the current study, divided into Part 1 and Part 2, an attempt is made, basing on the discussion and numerical analysis of the functions which describe the beatings, to determine the cause of this asymmetry. One of the arguments may come from the fact that the narrow-band condition for beating waveforms is only partially satisfied. This implies that the consequences of the relative rate of changes of the amplitude envelope to the resultant frequency envelope should be considered in the analysis of the beatings signal. The lack of symmetry is evidenced by the functions which reflect the influence of the magnitude of the ratio of the amplitudes of two signal components on the values of the normalised parameters EWAIF (Envelope Weighted Average of Instantaneous Frequency) and IWAIF (Intensity Weighted Average of Instantaneous Frequency) correlated with the sound pitch. In Part 2, two psychoacoustic experiments are described that aimed at the examination of the pitch of beatings in view of the symmetry arguments mentioned above. Main conclusions obtained in this part of the study are used throughout together with the literature available on this subject.
PL
W artykule zostaną przedstawione nowe metody inteligencji komputerowej. Najpierw opisano tzw. probabilistyczne sieci neuronowe, które pozwalają na rozwiązanie szerokiej klasy problemów identyfikacji i klasyfikacji w przypadku stacjonarnym i niestacjonarnym. Następnie przedstawiono struktury neuronowo-rozmyte z wykorzystaniem podejścia Mamdaniego oraz logicznego. Ponadto pokazano nowe metody modelowania niepewności w systemach rozmytych z wykorzystaniem zbiorów rozmytych typu 2.
EN
Basic concepts of fault diagnosis in analog circuits and devices by means of the simulation-before test approach, the so called dictionary approach, have been presented. Special attention has been paid to application of artificial intelligence tools, such as: artificial neural networks, fuzzy sets and evolutionary computing
7
Content available Inwazja roślin obcego pochodzenia w naszych lasach
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2014
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tom 08
PL
W pracy przedstawiono zbiory rozmyte typu 2. Omówiono operację przecięcia zbiorów rozmytych typu 2 oraz operację redukcji typu. Sformułowano i rozwiązano zadanie podejmowania decyzji z wykorzystaniem zbiorów rozmytych typu 2.
EN
In the paper type 2 fuzzy sets are presented. The intersection operation and type reduction operation are explained. An application of type 2 fuzzy sets to decision making systems is given.
12
Content available remote A new method for system modelling and pattern classification
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EN
In this paper we present a new class of neuro-fuzzy systems designed for system modelling and pattern classification. Our approach is characterized by automatic determination of fuzzy inference in the process of learning. Moreover, we introduce several flexibility concepts in the design of neuro-fuzzy systems. The method presented in the paper is characterized by high accuracy which outperforms previous techniques applied for system modelling and pattern classification.
19
Content available remote A flexible approach to fuzzy modelling
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EN
In this paper we present a new method to fuzzy modelling. The Mamdani type reasoning is combined with the logical approach. The results will be illustrated on typical benchmarks.
PL
W pracy zaprezentowano nową metodę rozmytego modelowania. Polega ona na odpowiednim połączeniu wnioskowania Mamdaniego i wnioskowania logicznego. Zaproponowane rozwiązanie zilustrowano wynikami symulacji.
EN
Two experiments were designed and performed in that the pitch of complementary pairs of beats signals, referred to as SL and SH, was evaluated. In experiment 1, the changeable signal consists of a pair of signals of equal sound pressure level and of the same separation of frequencies as this between SL and SH. Experiment 2 was made in the AM mode with a changeable signal whose amplitude envelope is identical with that of the SL/SH pair; the carrier frequency could be varied during the experiment. The results of the experiment 1 do not confirm the asymmetry in the evaluation of the pitch of the pairs of SL/SH signals with respect to the average frequency of the beats, a feature that has been reported earlier in the literature. On the order hand, the outcome of the experiment 2 point to certain asymmetry, moreover, the data reveal a large pitch difference of the SL/SH pairs; this difference (for which no explanation has been offered yet) is often much larger than that measured in experiment 1. The observed asymmetry, which is due to frequency variations determined with the frequency envelope (Part I) resulting from the broadband character of the beatings, does not quite justify the range of asymmetries reported in literature.
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