TY - JOUR
T1 - A time-frequency-shift invariant parameter estimator for oscillating transient functions using the matched window reassignment
AU - Brynolfsson, Johan
AU - Reinhold, Isabella
AU - Sandsten, Maria
PY - 2021
Y1 - 2021
N2 - In this paper we present the matched window reassignment method, generalizing the results to complex valued signals in multiple dimensions. For an oscillating transient signal with an envelope shape described by an arbitrary twice differentiable function, the reassigned spectrogram, with a matched window, concentrates all energy into one single time-frequency point. An estimator for the parameters of the envelope, in multiple dimensions, is constructed using the above property where the concentration is measured using the Rényi entropy. Furthermore, we present a classification scheme, where an observation is classified based on the concentration when reassigning with a set of model functions. Finally, two examples of parameter estimation from real-world measurements are shown, a one-dimensional time series of a single dolphin click and a two-dimensional time-series of seismic data.
AB - In this paper we present the matched window reassignment method, generalizing the results to complex valued signals in multiple dimensions. For an oscillating transient signal with an envelope shape described by an arbitrary twice differentiable function, the reassigned spectrogram, with a matched window, concentrates all energy into one single time-frequency point. An estimator for the parameters of the envelope, in multiple dimensions, is constructed using the above property where the concentration is measured using the Rényi entropy. Furthermore, we present a classification scheme, where an observation is classified based on the concentration when reassigning with a set of model functions. Finally, two examples of parameter estimation from real-world measurements are shown, a one-dimensional time series of a single dolphin click and a two-dimensional time-series of seismic data.
KW - Gaussian functions
KW - Oscillating
KW - Parameter estimation
KW - Reassigned spectrogram
KW - Transients
U2 - 10.1016/j.sigpro.2020.107913
DO - 10.1016/j.sigpro.2020.107913
M3 - Article
AN - SCOPUS:85099687199
SN - 0165-1684
VL - 183
JO - Signal Processing
JF - Signal Processing
M1 - 107913
ER -