Download e-book for iPad: Analysis, Synthesis, and Perception of Musical Sounds: The by James Beauchamp

By James Beauchamp

ISBN-10: 0387324968

ISBN-13: 9780387324968

This booklet incorporates a entire and exact mathematical remedy of the sounds of song with an emphasis on musical timbre. The publication spans the diversity from instructional advent to complicated examine and alertness to speculative evaluation of its a number of suggestions. the entire members use a generalized additive sine wave version for describing musical timbre which supplies a conceptual cohesion, yet is of adequate software to be tailored to many alternative tasks.

Show description

Read or Download Analysis, Synthesis, and Perception of Musical Sounds: The Sound of Music PDF

Similar acoustics & sound books

Download e-book for kindle: Measured tones: the interplay of physics and music by Ian Johnston

There has consistently been a detailed connection among physics and song. From the good days of historical Greek technology, principles and speculations have handed from side to side among ordinary philosophers (physicists) and musical theorists. Measured Tones: The interaction of Physics and track, moment version explores the tale of that dating in an unique and ordinary means.

Get Nanocomposite thin films and coatings: processing, PDF

Fabrics improvement has reached some extent the place it truly is tough for a unmarried fabric to fulfill the wishes of subtle purposes within the glossy global. Nanocomposite motion pictures and coatings in achieving even more than the straightforward addition of the constitutents the legislations of summation fails to paintings within the nano-world.

Download e-book for kindle: Vibro-Acoustics, Volume 1 by Anders Nilsson, Bilong Liu

This three-volume publication offers a radical and complete presentation of vibration and acoustic theories. diverse from conventional textbooks which generally take care of a few facets of both acoustic or vibration difficulties, it's detailed of this ebook to mix these correlated topics jointly.

Additional info for Analysis, Synthesis, and Perception of Musical Sounds: The Sound of Music

Example text

The method programmed by Maher (1989) for use in the SNDAN analysis/synthesis package (Beauchamp, 1993) convolves a Hamming-windowed sinc function with the input signal, and the upsampled result is linearly interpolated. For the DFT requirement, the substitution m ← m + n − N /2 is made in Eq. 17c), resulting in fs = c˜k (n) = e jπ k P(1−2n/N ) P N N −1 w (N /2 − m)s(m + n − N /2)e− j2π k Pm/N . 19a) m=0 With P = 1, the summation of Eq. 19a) is in the correct form for the DFT. However, with P > 1, Eq.

Another distinct method uses the cepstrum, which seeks to determine the periodicity of the DFT magnitude by taking its log and then applying a second FFT. This has been used extensively in speech applications (Noll, 1967) but seldom for music [for an exception, see Chen (2001)]. All of these methods rely on the selection of a minimum or maximum of a function. Determining which of several maxima or minima correspond to the correct fundamental frequency turns out to be the biggest problem in making these methods reliable.

27) becomes 8 θk (0). 29b) H where i is the frame number, running from i = 0 to i = I − 1 (there are I frames). This results in I equations with I + 2 unknowns. 29d) H and a similar equation obtains for i = I − 1. Therefore, there are now I equations with I unknowns, and these can be readily solved by a process of elimination. 8 f k1 = Analysis and Synthesis of Musical Instrument Sounds 23 The same process can be applied to interpolation of the amplitude values. The quadratic interpolation method works very well.

Download PDF sample

Analysis, Synthesis, and Perception of Musical Sounds: The Sound of Music by James Beauchamp


by Mark
4.0

Rated 4.37 of 5 – based on 21 votes