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Digital Filtering

2014
Digital filtering is the process of transforming a discretely sampled input signal into an output signal, such that certain spectral characteristics of the input signal are lost, while others are retained. In neuroscience, it is performed on time series that represent electrophysiological or hemodynamic signals measured over time.
Meij, R. van der, Schoffelen, J.M.
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The Synthesis of Recursive Digital Filters

Journal of the ACM, 1966
The circumstances and methods of the synthesis of linear digital recursive filters which are both stable and physically realizable are described. It is shown that any amplitude requency transfer function expressible as an even trigonometric rational polynomial can be synthesized by a real stable linear digital recursive filter.
Howard Holtz, Cornelius T. Leondes
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Digital Filtering of Random Digits

SIAM Journal on Numerical Analysis, 1970
Digital simulation of linear filter, investigating noise and rounding errors effects on decoding signals from lunar and interplanetary ...
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On Exponential Digital Filters

Journal of the ACM, 1959
This paper derives the weighting sequence of a linear digital filter whose output is an estimate of the predicted values of the derivatives of the input. The input functions considered are arbitrary linear combinations of n + 1 known functions, plus a random stationary signal and a random stationary noise component.
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Digital filtering in VLSI

1986
In this paper we take a first step in the study of VLSI realizations of digital filtering. For increasing input rate. processing is feasible only by resorting to massive parallelism, i.e., to an nq-th extension of the original order-n filter. We show that the operation is reducible to convolutions with fixed n-vectors and propose to realize the ...
Gianfranco Bilardi, Franco P. Preparata
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Multirate Digital Filtering

IFAC Proceedings Volumes, 1982
Abstract Multirate filtering arises naturally in digital signal processing as an adaptation of the sampling rate to the banwidth of the signal at each step of the processing. It results in a significant reduction of machine complexity in many cases of practical importance.
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Design of Digital Notch Filters

IEEE Transactions on Communications, 1974
It is shown that a second-order digital notch filter is uniquely characterized by two distinct parameters, the notch frequency and the 3-dB rejection bandwidth. As a result, such a filter can be realized using only two multipliers. Methods are outlined to design a notch filter for a prescribed notch frequency and a prescribed 3-dB rejection bandwidth ...
Kotaro Hirano   +2 more
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On digital filtering

IEEE Transactions on Audio and Electroacoustics, 1968
Digital filtering is the process of spectrum shaping of signal waveforms, using digital components as the basic dements for implementation. This process is extensively used in the computer simulation of analog filters. The unmistakable trends toward increased speed and decreased cost and size of digital components make digital filtering especially ...
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FFT Length in Digital Filtering

IEEE Transactions on Computers, 1979
When the FFT is employed for nonrecursive digital filtering, the time required to process one block of input data, N samples long, is often approximately of the form N(logr (N) + Q), where Q ≥ 0. Earlier results on determining optimum N have assued Q ≥0, becauese it has long been informally observed that typically little is to be gained by taking the ...
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Digital filters

Journal of the Franklin Institute, 1974
Martin H. Ackroyd, Pierre Lafrance
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