EN 15433-4:2007

Foreword
Introduction
1 Scope
2 Normative references
3 Measured signals
  3.1 Instantaneous values
  3.2 Average values
      3.2.1 General
      3.2.2 Instruments and software
      3.2.3 Types of averaging
      3.2.4 Averaging time and sampling errors
  3.3 Synchronous averaging
      3.3.1 General
      3.3.2 Instruments and software
      3.3.3 Triggering procedures
      3.3.4 Signal-to-noise enhancement
  3.4 Filtered signals
      3.4.1 General
      3.4.2 Analogue filtering
      3.4.3 Digital filtering
4 Data classification
  4.1 General
  4.2 Time dependence
      4.2.1 General
      4.2.2 Stationary or steady-state data
      4.2.3 Non-stationary data
      4.2.4 Transient data
      4.2.5 Physical considerations
  4.3 Randomness
      4.3.1 General
      4.3.2 Identification of periodic components
      4.3.3 Separation of random and periodic components
  4.4 Normality
      4.4.1 General
      4.4.2 Test for normality
      4.4.3 Spurious deviations from normality
5 Single channel spectral analysis/periodic and
  random data
  5.1 FFT algorithms
      5.1.1 General
      5.1.2 Number of data values
      5.1.3 Redundant components
      5.1.4 Leakage and tapering
      5.1.5 Spectral bandwidth
  5.2 Periodic data
      5.2.1 General
      5.2.2 Instruments and software
      5.2.3 Anti-aliasing filters
      5.2.4 Leakage and tapering
      5.2.5 Frequency resolution
      5.2.6 Resolution error corrections
      5.2.7 Statistical sampling errors
      5.2.8 Plotting
  5.3 Stationary random data
      5.3.1 General
      5.3.2 Instruments and software
      5.3.3 Anti-aliasing filters
      5.3.4 Leakage and tapering
      5.3.5 Frequency resolution
      5.3.6 Resolution error corrections
      5.3.7 Statistical sampling errors
      5.3.8 Overlapped processing
      5.3.9 Zoom transforms
      5.3.10 Plotting
  5.4 Non-stationary data
      5.4.1 General
      5.4.2 Random signals
      5.4.3 Time codes
  5.5 Proportional bandwidth spectra
      5.5.1 General
      5.5.2 1/3-octave band spectra
      5.5.3 Other proportional bandwidth spectra
6 Single channel spectral analysis/transient data
  6.1 General
  6.2 Fourier spectra
      6.2.1 General
      6.2.2 Instruments and software
      6.2.3 Anti-aliasing filters
      6.2.4 Leakage and tapering
      6.2.5 Frequency resolution
      6.2.6 Resolution error corrections
      6.2.7 Statistical sampling errors
      6.2.8 Plotting
  6.3 Energy spectra
      6.3.1 General
      6.3.2 Instruments and software
      6.3.3 Anti-aliasing filters
      6.3.4 Leakage and tapering
      6.3.5 Frequency resolution
      6.3.6 Resolution error corrections
      6.3.7 Statistical sampling errors
      6.3.8 Plotting
  6.4 Shock response spectra (SRS)
      6.4.1 General
      6.4.2 Interpretation of SRS results
      6.4.3 Presentation of SRS results
      6.4.4 Instruments and software
      6.4.5 Anti-aliasing filters
      6.4.6 Sampling rate
      6.4.7 Truncation error
      6.4.8 Initial conditions
      6.4.9 Frequency resolution
      6.4.10 Resolution error corrections
      6.4.11 Statistical sampling errors
      6.4.12 Plotting
      6.4.13 Other SRS computations
7 Dual channel analysis
  7.1 General
  7.2 Cross-spectra
      7.2.1 General
      7.2.2 Instruments and software
      7.2.3 Anti-aliasing filters
      7.2.4 Leakage and tapering
      7.2.5 Frequency resolution
      7.2.6 Resolution error corrections
      7.2.7 Time delay bias error
      7.2.8 Multiple path (reverberation) bias error
      7.2.9 Statistical sampling errors
      7.2.10 Overlapped processing
      7.2.11 Zoom transforms
      7.2.12 Plotting
  7.3 Coherence
      7.3.1 General
      7.3.2 Instruments and software
      7.3.3 Anti-aliasing filters
      7.3.4 Leakage and tapering
      7.3.5 Frequency resolution
      7.3.6 Time delay bias errors
      7.3.7 Multiple path (reverberation) errors
      7.3.8 Statistical sampling errors
      7.3.9 Overlapped processing
      7.3.10 Zoom transforms
      7.3.11 Plotting
  7.4 Frequency response
      7.4.1 General
      7.4.2 Instruments and software
      7.4.3 Anti-aliasing filters
      7.4.4 Leakage and tapering
      7.4.5 Frequency resolution
      7.4.6 Statistical sampling errors
      7.4.7 Overlapped processing
      7.4.8 Zoom transforms
      7.4.9 Plotting
  7.5 Cross-correlation
      7.5.1 General
      7.5.2 Instruments and software
      7.5.3 Anti-aliasing filters
      7.5.4 Leakage and tapering
      7.5.5 Time resolution
      7.5.6 Time delay bias error
      7.5.7 Statistical sampling errors
      7.5.8 Overlapped processing
      7.5.9 Plotting
  7.6 Correlation coefficient
  7.7 Unit impulse
8 Other analysis
  8.1 General
  8.2 Probability density
      8.2.1 General
      8.2.2 Instantaneous probability density
      8.2.3 Peak probability density
Bibliography

This standard presents guidelines for the instruments, procedures and parameters, used to analyse dynamic data. It is assumed that the person performing the analyses has the use of appropriate digital FFT signal processors or FFT computers. These guidelines are also applicable for other types of signal processing procedures, as long as the analysing parameters are equivalent. Such other procedures contain correlation algorithms e.g. Blackman-Tuckey), digital band pass filter algorithms or heterodyne techniques.An outline of the data analysis procedures covered in this section is presented in Figure 1.