Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: A Statistical and Spectral Model for Representing Noisy Sounds with Short-Time Sinusoids | EURASIP Journal on Applied Signal Processing 2005 12 1794-1806 2005 P. Hanna and M. Desainte-Catherine A Statistical and Spectral Model for Representing Noisy Sounds with Short-Time Sinusoids Pierre Hanna SCRIME Laboratoire Bordelais de Recherche en Informatique LaBRI Universite Bordeaux 1 33405 Talence Cedex France Email hanna@ Myriam Desainte-Catherine SCRIME Laboratoire Bordelais de Recherche en Informatique LaBRI Universite Bordeaux 1 33405 Talence Cedex France Email myriam@ Received 12 March 2004 Revised 10 March 2005 Recommended for Publication by Mark Kahrs We propose an original model for noise analysis transformation and synthesis the CNSS model. Noisy sounds are represented with short-time sinusoids whose frequencies and phases are random variables. This spectral and statistical model represents information about the spectral density of frequencies. This perceptually relevant property is modeled by three mathematical parameters that define the distribution of the frequencies. This model also represents the spectral envelope. The mathematical parameters are defined and the analysis algorithms to extract these parameters from sounds are introduced. Then algorithms for generating sounds from the parameters of the model are presented. Applications of this model include tools for composers psychoacoustic experiments and pedagogy. Keywords and phrases stochastic part of sounds analysis and real-time synthesis of noisy sounds spectral models spectral density musical transformations of sounds. 1. INTRODUCTION Computers offer new possibilities for sound processing. Applications are numerous in the musical field. Digital sound models are developed to represent signals with mathematical parameters in order to allow composers to transform the original sound in a musical way. Noises are used more and more frequently in contemporary music especially in electroacoustic music. A new vocabulary describing noisy sound properties has been proposed during the
