Results 141 to 150 of about 7,065 (184)

Roundoff Errors in Signal Averaging Systems

IEEE Transactions on Biomedical Engineering, 1986
In biomedical signal averaging applications where a small repetitive signal is to be extracted form a very noisy waveform (noise variance ?2n), the A/D converter range is set at ±A?n where A typically has a value of 3 or 4. In this case, A/D roundoff noise using a (b + 1)-bit A/D converter degrades the SNR of the resulting signal estimate by an amount ...
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Numerical chaos, roundoff errors, and homoclinic manifolds

Physical Review Letters, 1993
The focusing nonlinear Schr\"odinger equation is numerically integrated over moderate to long time intervals. In certain parameter regimes small errors on the order of roundoff grow rapidly and saturate at values comparable to the main wave. Although the constants of motion are nearly preserved, a serious phase instability (chaos) develops in the ...
, Ablowitz, , Schober, , Herbst
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Roundoff errors for polynomial evaluation by a family of formulae

Computing, 2008
The classical Lagrange interpolation formula is rewritten in the barycentric form. The authors show that these kind of formulas can be analyzed by making a distinction between the first steps corresponding to computations to high relative accuracy and the final sum, where high relative accuracy cannot be ensured.
Jesús M. Carnicer, Tim N. T. Goodman, Juan Manuel Peña 0001   +2 more
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A roundoff error analysis of the Oja's subspace rule

1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2002
This paper deals with the effects of finite precision data representation and arithmetic in principal component analysis (PCA) networks. PCA or Karhunen Loeve transform (KLT) is a statistical method that determines an optimal linear transformation of input vectors of a stationary stochastic process.
Tamás Szabó, Gábor Horváth 0001
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Avoiding Roundoff Error in Backpropagating Derivatives

1998
One significant source of roundoff error in backpropagation networks is the calculation of derivatives of unit outputs with respect to their total inputs. The roundoff error can lead result in high relative error in derivatives, and in particular, derivatives being calculated to be zero when in fact they are small but non-zero.
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A new iterative refinement with roundoff error analysis

Numerical Linear Algebra with Applications, 2011
AbstractIn this paper we present a novel improvement of Wilkinson's iterative refinement for the solution of linear system by using stability results of numerical solution for a dynamic system associated with the linear system. The convergence analysis is shown and roundoff error analysis is considered for this new refinement. Numerical experiments are
Xinyuan Wu, Zhengyu Wang
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Roundoff error analysis of the pipelined ADPCM coder

1993 IEEE International Symposium on Circuits and Systems, 2002
Roundoff error analysis of a pipelined adaptive differential pulse code modulation (ADPCM) coder is presented. The pipelined coder has been developed by employing the relaxed look-ahead technique. It is shown that the precision of the quantized prediction error and those of the predictor coefficients are critical.
Naresh R. Shanbhag, Keshab K. Parhi
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Limit distribution of a roundoff error

Statistics & Probability Letters, 2012
Denote by \([x]:=\sup\{m\in\mathbb{Z}:\,m\leq x\}\) the integral part of \(x\in\mathbb{R}\) and by \(\{x\}:=x-[x]\in[0,1)\) its fractional part. Let \(X\) be a random variable. The conditional distribution function \(F_n(x):=P(\{X\}\leq x \mid [X]=n)\) for an integer \(n\in\mathbb{N}\) is investigated. Characterizations of the limit of \(F_n\) when \(n\
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Roundoff error analysis of the PCA networks

IEEE Instrumentation and Measurement Technology Conference Sensing, Processing, Networking. IMTC Proceedings, 2002
This paper deals with some of the effects of finite precision data representation and arithmetics in principal component analysis (PCA) neural networks. The PCA networks are single layer linear neural networks that use some versions of Oja's learning rule.
T. Szabo, G. Horvath
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Comments on "Roundoff Errors in Signal Averaging Systems"

IEEE Transactions on Biomedical Engineering, 1987
In this paper1 the author finds the degradation in signal-to-noise ratio (SNR) of a signal averaging system output as a function of A/D bits. The results stated are based on certain assumptions which do not hold for low values of A/D bits. Under these conditions the results seriously overestimate the SNR degradation.
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