Topic
Transfer function
About: Transfer function is a research topic. Over the lifetime, 14362 publications have been published within this topic receiving 214983 citations. The topic is also known as: system function & network function.
Papers published on a yearly basis
Papers
More filters
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TL;DR: In this paper, the Ornstein-Uhlenbeck neuronal model is investigated under the assumption that the amplitude of the noise is signal dependent, and a linear approximation of the input-output transfer function is developed.
70 citations
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TL;DR: The general aspects of automatic equalization are reviewed, an implementation of a general purpose automatic equalizer is described, the theoretical performance of such an equalizer as determined from computer simulations is discussed, and results for the equalization of real channels are presented.
Abstract: The restriction imposed by linear distortion on the flow of information in a communication channel is well known. In the past, the effects of this distortion have been alleviated through the use of manually adjusted equalizing or compensating networks. The adjustment of these networks is too cumbersome a process for the user of a switched communication service to perform each time a new connection is established. Therefore, in present switched networks, control of linear distortion is imposed only on the individual links. Variation between links and variation of the number of links in tandem result in channels with distributed performance. Lower distortion can be achieved by equalizing the overall connection. Recent developments have made automatic linear distortion removal (equalization) practical for synchronous data communication systems. Here an implementation is described wherein these techniques have been generalized so that automatic equalization can be provided for a communication channel independent of the signal format used in that channel. For a number of applications the speed of automatic equalization makes efficient end-to-end equalization practical in a switched network. The implementation described affords automatic minimization of the discrepancy between a specified response and the actual response of a linear transmission medium. Thus, on the one hand, it permits the automatic reduction of transmission defects such as signal dispersion and echoes, and, on the other hand, it permits the mechanized synthesis of filters with specified transfer functions. This paper reviews the general aspects of automatic equalization, describes an implementation of a general purpose automatic equalizer, discusses the theoretical performance of such an equalizer as determined from computer simulations, and lastly presents results for the equalization of real channels using the implementation described.
70 citations
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TL;DR: Simple expressions that are asymptotic in the model order are developed for model structures of finite impulse response (FIR) character, andSimulations verify that these simple expressions are quite reliable and insightful even for moderate model orders.
Abstract: The problem of tracking time-varying linear systems is discussed. The focus is on the model quality in terms of the mean square error (MSE) between the true (momentary) transfer function and the estimated one. This MSE is thus a function of frequency. The exact expression for the MSE is complicated, but simple expressions that are asymptotic in the model order are developed for model structures of finite impulse response (FIR) character. Simulations verify that these simple expressions are quite reliable and insightful even for moderate model orders. Expressions are developed for three basic adaptation algorithms (recursive identification algorithms), viz. the least-mean-squares algorithm, the recursive least-squares algorithm with exponential forgetting, and a tracking algorithm based on the Kalman filter. The results apply both to slowly time-varying systems and to the model recovery after an abrupt change in the system dynamics. >
70 citations
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TL;DR: An algorithm for the tuning of two input shaping methods designed to prevent the excitation of oscillatory modes in resonant systems is presented and an algorithm is developed for the automatic adjustment of the controller parameters.
70 citations
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TL;DR: The responses of single units in the cochlear nucleus of the rat can be described using linear system theory when the modulation depth is kept low, and the advantages of using random noise signals in studies of the dynamic properties compared with sinusoidal modulation signals are discussed.
70 citations