Results 141 to 150 of about 2,905,950 (213)

Symplectic Integrators: Rotations and Roundoff Errors

Celestial Mechanics and Dynamical Astronomy, 1998
We investigate the numerical implementation of a symplectic integrator combined with a rotation (as in the case of an elongated rotating primary). We show that a straightforward implementation of the rotation as a matrix multiplication destroys the conservative property of the global integrator, due to roundoff errors.
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Roundoff errors in fixed-point FFT

2009 IEEE International Symposium on Intelligent Signal Processing, 2009
The general assumptions made about roundoff noise are that its samples form a white sequence. and they are uniformly distributed between ±q/2, where q is the size of the LSB. While this is often true, strange cases may appear, e.g. misleading peaks can occur in the spectrum. This paper investigates the roundoff error of fixed-point FFT.
Pálfi, Vilmos, Kollár, István
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On Local Roundoff Errors in Floating-Point Arithmetic

Journal of the ACM, 1973
A bound on the relative error in floating-point addition using a single-precision accumulator with guard digits is derived. It is shown that even with a single guard digit, the accuracy can be almost as good as that using a double-precision accumulator.
Kaneko, Toyohisa, Liu, Bede
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Guaranteed state estimation accuracies with roundoff error

29th IEEE Conference on Decision and Control, 1990
Kalman filter theory is modified to accommodate roundoff errors in state computation. Two problems are solved: (i) choosing the wordlength required for each state computation to guarantee specified estimation accuracies of multiple output variables of interest; and (ii) finding the minimal variance estimator subject to inequality constraints on ...
R.E. Skelton, D. Williamson
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Roundoff errors in floating-point summation

BIT, 1975
All possible schemes for the calculation of the sum ofn addends by means ofn−1 floating-point additions is considered and in case of positive addends it is shown how to use the Huffman algorithm to choose a scheme to obtain the least upper bound on the accumulated roundoff error in the result.
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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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Impact of roundoff errors in LDPC decoding

2008 3rd International Symposium on Wireless Pervasive Computing, 2008
In this paper the impact of roundoff mechanisms on the performance of message-passing LDPC decoding is studied. It is shown that finite word length introduces error by means of two mechanisms, each of which is analyzed. The impact and behavior of the two mechanisms are clarified by experimental results.
N. Kanistras, V. Paliouras
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Modular Optimization-Based Roundoff Error Analysis of Floating-Point Programs

Sensors Applications Symposium, 2023
Rosa Abbasi, Eva Darulova
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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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On fixed-point roundoff error analysis

IEEE Transactions on Acoustics, Speech, and Signal Processing, 1989
The author points out the existence of work published by the author (US Dept. of Commerce, Tech. Rep. AD-A086826, 57 pp., Apr. 1980) prior to the appearance of the paper by Barnes et al. (ibid., vol.ASSP-33, p.595-606, June 1985) covering the same subject. >
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