Results 141 to 150 of about 852,005 (184)

Quantization and Roundoff Errors

1989
A one-dimensional (1-D) digital filter, as noted in Section 1.3, is generally defined by $${y_n} = \sum\limits_{i = 0}^M {{a_i}{u_{n - i}}} - \sum\limits_{i = 1}^N {{b_i}{y_{n - i}}} $$ (5.1) where {u n } is the input sequence, {y n } is the output sequence, and a i , and b i are some constants.
Robert King, Majid Ahmadi, Raouf Gorgui-Naguib, Alan Kwabwe, Mahmood Azimi-Sadjadi   +4 more
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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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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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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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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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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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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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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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