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Page 43 ï~~the intimacy of sound Daniel ARFIB CNRS-LMA, and Facult6 de sciences de Luminy 31 Chemin Joseph Aiguier 13402 Marseille Cedex 9 France The Gabor transform time-frequency rej transform, an arbitrary image must satisfy the inv a reconstruction of a sound from an arbitrary imag by this reproducing kernel. It is possible to choc V ~ does not give too many artefacts at the reconstruc from these considerations slow down a sou transformations are explored, such as choral effect The Gabor transform. A nt ta n1 Afl d 0 i
Page 44 ï~~c. the rerucin kernel. (A1 Lfl so (4 h*I m,?ac. It is possible to reconstruct a sound from an arbitrary resynthesized sound will be the filtered version of the c reproducing kernel is the Gabor transform of an analysi the image is..a Gabor transform, will mv reproducing kernel. - if the image is not a Gabor transform, it will be, alter be a Gabor transform. This is a key to understand the m - This is also a key to understand how we can rebuilc
Page 45 ï~~So the algorithm for an ratio of 4 in term of FFR 4 - take successive FFTs, for example every 32 points polar representation (513 rays). - recenter and multiply the phases by 4, keeping the i - recenter the phases, and make an inverse FF, folio' - add these results at each 128 sampling periods on a c. unwratDin the phase. leo 414 As can be easily understood, for an integer ratio, I because the original phases are known modulo 2nr This gives a short and effective algorithm If the tim an accelaration gives non integer ratios) then it is j lines. One can calculate an evaluation of the target v2 0-"-"" 7" _/ a - -a0 -