| Abbreviations |
| AWGN |
Additive white Gaussian noise |
| TFD |
Time-frequency distribution |
| DFT |
Discrete Fourier transform |
| TF |
Time-frequency |
| LRE |
Local Rényi entropy |
| SNR |
Signal-to-noise ratio |
| Nomenclature |
|
instantaneous amplitude of the l-th component |
|
set of observations derived from a TFD |
|
set of observations derived from one TFD building block |
|
subset of TFD’s observations derived from useful information |
|
k-th set of partitioned TFD’s observations |
|
k-th set of partitioned observations from one TFD building block |
|
closeness value between LRE estimates and
|
|
closeness value between block-wise LRE estimates and
|
| f |
continuous frequency |
|
instantaneous frequency of the l-th component |
|
sampling frequency |
| G |
time-lag kernel |
|
Rényi entropy of the k-th TFD class |
|
Rényi entropy of the k-th class, and t-th building block |
| i |
smallest index of useful classes
|
|
smallest index of building-block useful classes
|
| L |
number of signal components |
| K |
number of TFD classes |
| l |
discrete lag |
| m |
discrete frequency |
| M |
number of frequency bins |
| n |
discrete time |
|
parameter defining the amplitude modulation time-shift |
| N |
number of time samples |
| p |
specific time instant |
| t |
continuous time |
| T |
parameter defining the signal component amplitude modulation variance |
|
extracted TFD useful information |
|
|
useful information extracted per one TFD building-block |
| w |
non-constant positive noise amplitude modulation |
|
l-th signal component |
| x |
noise-free signal |
| y |
noisy signal |
|
Rényi entropy order |
|
parameter defining the amplitude noise modulation variance |
|
frequency resolution |
|
duration of LRE estimation interval |
|
duration of one TFD building block |
|
additive white noise |
|
quadratic TFD |
|
TFD of extracted useful information |
|
k-th TFD class |
|
k-th class of TFD building block |
|
TFD building block |
|
TFD of a noisy signal |
|
continuous lag |
|
instantaneous phase of the l-th component |