G-4, Glossary
959294
eZ-Analyst
Integration/Differentiation
Integration/Differentiation is for display purpose only and does not modify the data. It is only
active when frequency domain data is displayed. Select single or double integration, single or
double differentiation or none. Make your selection on the popup menu. Differentiation and
Integration are calculated by dividing each element of the function by (jw)^n, where j is the
square root of -1; w is the product of 2 pi times the frequency of the block element; and n is
an integer from +2 to -2.
n = 2 is double integration
n = 1 is single integration
n = 0 has not effect
n = -1 is single differentiation
n = -2 is double differentiation.
If the signal is acceleration
, then single integration (Int1) results in velocity, and
double integration (Int2) results in displacement.
If the signal is displacement
, then single differentiation (Diff1) results in velocity, and
double differentiation (Diff2) results in acceleration.
Isolation
The arrangement or operation of a circuit so that signals from another circuit or device do not
affect the
isolated
circuit.
Isolation
usually refers to a separation of the direct link between
the signal source and the analog-to-digital converter (ADC). Isolation is necessary when
measuring high common-mode voltage.
Leakage
Leakage refers to an error in the FFT process due to the use of finite time blocks that do not
match at the blocks’ ends. At lower amplitudes, leakage results in a smearing of frequency
lines. FFT window functions, such as Hanning, can be used to minimize the error that is
introduced by leakage.
Linearization
Some transducers produce a voltage in linear proportion to the condition measured. Other
transducers (e.g., thermocouples) have a nonlinear response. To convert nonlinear signals
into accurate readings requires software to calibrate several points in the range used and then
interpolate values between these points.
Mobility
Velocity/Force. The
transfer type
function is calculated by dividing the
cross spectrum
of the
channel pair by the
auto spectrum
of the reference (force) channel.
Nyquist Plot
A Nyquist plot is one method used to simultaneously display real and imaginary data. The
real numbered data is plotted on the X-axis and the imaginary numbered data is plotted on
the Y-axis. Line segments are used to join consecutive points. From the perspective of
basic vibration theory, a Nyquist plot of a mobility function should trace out a circle
(counter-clockwise) as frequency is increased through an isolated structural resonance.
Octave
The interval between two frequencies, where one frequency is twice the value of the other.
For example, frequencies of 500 Hz and 1 kHz are one octave apart; and 1 kHz and 2kHz are
one octave apart. Many sounds are broad band, having components that are continuously
distributed over a range of frequencies. The spectrum of such a sound can be approximated
in terms of a series of octave band or one-third octave band pressure levels. A band is
designated by its center frequency,
f
0, which is the geometric mean of the upper and lower
frequencies of the band. (See ANSI/ASC S1.6-1984.)
PSD Function
Power Spectral Function. A single-channel display function. It is the Fourier Transform of the
Auto-correlation function. This normalization should be used with continuous random signals.
Receptance,
also referred to as
Compliance
Displacement/Force. The
transfer type
function is calculated by dividing the
cross spectrum
of
the channel pair by the
auto spectrum
of the reference (force) channel.
