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R. B. Randall, Frequency Analysis. Br uel & Kjaer, 1987.

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ECG Recorder Sampling at the Variable Rate - Augustyniak, Wrzeniowski (2001)   (Correct)

....changes, but fortunately, thanks to the integrated switching capacity filters (e.g. MAX 295 [#2] all the operation is sending another control word to the filter chip. However, the oscillatory response of the filter caused by changing the cut off frequency can hardly, if even, be reduced [#3]. For this reason, controlling the sampling frequency by the hardware is not appropriate for the systems, where the sampling frequency is updated relatively frequently. The software control of the sampling frequency consists in the sampling at the maximum constant rate followed by the resampling. ....

RANDALL R. B., Tech B. A. "Frequency analysis", Bruel & Kjaer, #987


Synchronized Multi-Sine Measurements via DSP Methods - Várkonyi-Kóczy (1996)   (Correct)

.... transformation (FFT) 2] The novelty of this approach is the decomposition of a larger size single input multiple output (SIMO) DFT filter bank into a proper parallel combination of smaller ones similarly to the nondestructive zoom technique in the case of larger scale input data blocks (see e.g. [7]) The block diagram of this polyphase DFT analyzer for N = 8 is given on Fig. 2. This is a radix 2 case where the overall system can be decomposed into 2 point DFT blocks related by complex phase compensators between the stages. This phase compensation is unavoidable due to the delayed reference ....

R.B. Randall, Frequency Analysis, Bruel&Kjaer, 1987.


Recognition Of Bearing Failures Using Wavelets And.. - Ypma, Ligteringen.. (1997)   (1 citation)  (Correct)

.... many bearing frequency harmonics present in the spectrum are a much better indication of bearing damage than defect frequency amplitudes [Ber91] The optimum bandwidth for observing harmonics of the defect frequencies sould be limited to the fourth through tenth orders [BB96] According to [Ran87], presence of sidebands can give additional information, as the fault signal tends to be unmodulated for outer race faults, modulated by the speed shaft for inner race faults, and by the cage speed for rolling element faults. Unfortunately, many ambiguities are present in the vibration spectrum, ....

.... ( t Gammab a ) is a set of functions, called wavelets, obtained from a basic wavelet 2 L 2 (R) by dilation (i.e. scaling) and translation. Here, the width of the frequency window decreases for increasing scale parameter a, and vice versa, implying a constant percentage bandwidth analysis [Ran87]. 3.3. Principal components analysis Alternatively, the eigenvectors u j ; j = 0; p Gamma 1 of the covariance matrix G of a n dimensional dataset x; n p can be used as basisvectors for a transformation matrix R, yielding an analysis x0 = Rx into principal components x0 j = u T j x; ....

R. B. Randall. Frequency analysis. Br¨uel & Kjaer, Denmark, 1987.


Using the Wavenet for function approximation - Ypma, Duin (1997)   (Correct)

....for increasing scale parameter a, and vice versa. Note that since the ratio of center frequency to frequency bandwidth is constant, the wavelet decomposition gives rise to a constant percentage bandwidth analysis, which is a much practiced technique in the field of machinery vibration analysis [10]. 3 Wavelet theory A wavelet transformed function can be recovered from its wavelet components by the inversion formula [11] f(x) 1 C 1 Z 1 1 Z 1 (W f) b; a) a;b (x) dadb a 2 (4) In practice, f has to be recovered from a finite number of wavelet components, so f has to be ....

R. B. Randall, Frequency analysis, Br¨uel & Kjaer, DE, 1987


Second-order ICA in machine vibration analysis - Ypma, Pajunen   (Correct)

....geometry related fault frequencies onto machine eigenfrequencies) Varying degrees of prior knowledge about the data can be used in the choice of the preprocessing technique. Typical techniques include constant percentage bandwidth analysis, order tracking, envelope detection and cepstrum analysis [37]. Some of these techniques may be susceptible to false alarms, since there will always be a certain degree of harmonic and modulatory activity present, regardless of the machine condition. In the most basic approach one just uses the acceleration spectrum, from which human experts are often able ....

R. B. Randall. Frequency analysis. Bruel & Kjaer, Denmark, 1987.


A Fast Filter-Bank for Adaptive Fourier Analysis - Annam Aria Arkonyi-K (1998)   (Correct)

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R. B. Randall, Frequency Analysis. Br uel & Kjaer, 1987.


STATISTICAL DEGREES OF FREEDOM By Tom Irvine Email.. - Om Ju Ne   (Correct)

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R. Randall, Frequency Analysis, Bruel & Kjaer, Denmark, 1987.


Implementation of a One-Third-Octave Filter Bank in Matlab - Couvreur   (Correct)

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R.B. Randall, Frequency Analysis, Bruel & Kjaer, 1987.

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