A Novel Approach for Blind Estimation of Reverberation Time using Gamma Distribution Model

  • Hamza, Amad (Dept. of Electrical Engineering, University of Engineering & Technology) ;
  • Jan, Tariqullah (Dept. of Electrical Engineering, University of Engineering & Technology) ;
  • Jehangir, Asiya (Dept. of Electrical Engineering, University of Engineering & Technology) ;
  • Shah, Waqar (Dept. of Electrical Engineering, University of Engineering & Technology) ;
  • Zafar, Haseeb (Dept. of Electrical Engineering, University of Engineering & Technology) ;
  • Asif, M. (Dept. of Electronics, University of Peshawar)
  • Received : 2014.04.09
  • Accepted : 2015.11.03
  • Published : 2016.03.01


In this paper we proposed an unsupervised algorithm to estimate the reverberation time (RT) directly from the reverberant speech signal. For estimation process we use maximum likelihood estimation (MLE) which is a very well-known and state of the art method for estimation in the field of signal processing. All existing RT estimation methods are based on the decay rate distribution. The decay rate can be obtained either from the energy envelop decay curve analysis of noise source when it is switch off or from decay curve of impulse response of an enclosure. The analysis of a pre-existing method of reverberation time estimation is the foundation of the proposed method. In one of the state of the art method, the reverberation decay is modeled as a Laplacian distribution. In this paper, the proposed method models the reverberation decay as a Gamma distribution along with the unification of an effective technique for spotting free decay in reverberant speech. Maximum likelihood estimation technique is then used to estimate the RT from the free decays. The method was motivated by our observation that the RT of a reverberant signal when falls in specific range, then the decay rate of the signal follows Gamma distribution. Experiments are carried out on different reverberant speech signal to measure the accuracy of the suggested method. The experimental results reveal that the proposed method performs better and the accuracy is high in comparison to the state of the art method.


Gamma distribution;Maximum likelihood estimation;Reverberant signal analysis;Reverberation time


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