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On the selection of excitation signals for the fast spectroscopy of electrical bioimpedance

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Fig.1

Simplified structure of the EBI spectroscopy system.
Simplified structure of the EBI spectroscopy system.

Fig.2

Waveform (a) and magnitude spectrum (b) of the pulse with relative duration t = (64/1000).
Waveform (a) and magnitude spectrum (b) of the pulse with relative duration t = (64/1000).

Fig.3

Waveform (a) and magnitude spectrum (b) of the exponentially modulated short chirp with relative duration t = 0.5.
Waveform (a) and magnitude spectrum (b) of the exponentially modulated short chirp with relative duration t = 0.5.

Fig.4

Rectangular waveform (a) and its magnitude spectrum (b).
Rectangular waveform (a) and its magnitude spectrum (b).

Fig.5

Waveforms (a) and magnitude spectrum (b) of the step waveform with a rise time of 1/500 of the signal period. Note that the first part of the time scale is magnified by 20. Diagonal hatch illustrates the energy content of the signal starting from zero and cross-hatches the energy content of the signal starting from -1.
Waveforms (a) and magnitude spectrum (b) of the step waveform with a rise time of 1/500 of the signal period. Note that the first part of the time scale is magnified by 20. Diagonal hatch illustrates the energy content of the signal starting from zero and cross-hatches the energy content of the signal starting from -1.

Fig.6

Waveforms of the sinusoidal (a) and signum-chirp (b).
Waveforms of the sinusoidal (a) and signum-chirp (b).

Fig.7

Relative deviation of RMS magnitudes of the frequency components from their mean values of the linear sinusoidal chirp with normalized frequencies in the range from 10 to 50.
Relative deviation of RMS magnitudes of the frequency components from their mean values of the linear sinusoidal chirp with normalized frequencies in the range from 10 to 50.

Fig.8

Relative deviation of RMS magnitudes of frequency components from their mean values of the signum chirp with normalized frequencies in the range from 10 to 50.
Relative deviation of RMS magnitudes of frequency components from their mean values of the signum chirp with normalized frequencies in the range from 10 to 50.

Fig.9

Waveform of the 3-rd order MLBS (a) and its magnitude spectrum (b).
Waveform of the 3-rd order MLBS (a) and its magnitude spectrum (b).

Fig.10

BMS waveform (a) and its magnitude spectrum (b) with four equally emphasized components (frequency bins 1, 3, 5, 7).
BMS waveform (a) and its magnitude spectrum (b) with four equally emphasized components (frequency bins 1, 3, 5, 7).

Fig.11

BMS (a) and its magnitude spectrum (b) with rising levels of components (frequency bins 1, 3, 5, 7).
BMS (a) and its magnitude spectrum (b) with rising levels of components (frequency bins 1, 3, 5, 7).

Fig.12

CF of the optimized multisine signal with a consequent frequency distribution (i = 1,2,3,4 …. k), for a k in the range from 4 to 40. A green line level corresponds to the CF of a single sine wave.
CF of the optimized multisine signal with a consequent frequency distribution (i = 1,2,3,4 …. k), for a k in the range from 4 to 40. A green line level corresponds to the CF of a single sine wave.

Fig.13

Normalized RMS magnitudes of consecutively and logarithmically distributed frequency components of optimized multisines (MS, dashed lines) and BMS (solid lines) vs. a number of frequency decades a signal covers.
Normalized RMS magnitudes of consecutively and logarithmically distributed frequency components of optimized multisines (MS, dashed lines) and BMS (solid lines) vs. a number of frequency decades a signal covers.