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Musical Intelligence Analysis

  • Rui Che
  • Xingda Li
  • Dongfang Li
  • Yujing Guan
Chapter
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 128)

Abstract

Based on the temperament and physical properties of melody, we exploit splines, Gaussian function and trigonometric functions to construct two sets of stable bases and give the proof of stability. For both constructed function and real music signal,we can obtain the approximation using these bases. Meanwhile, frequency information can be detected exactly by FFT and the approximation is the sum of amplitudes of all frequencies. So, we can get the exact time-frequency music analysis theoretically and our numerical results also prove that well for both kinds of signals.

Keywords

Short Time Fourier Transform Stable Basis Fundamental Tone Pitch Estimation Amplitude Graph 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag GmbH Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of MusicNortheast Normal UniversityChangchunP.R. China
  2. 2.Department of MathematicsJilin UniversityChangchunP.R. China

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