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

Acoustics Sound

By James Beauchamp

ISBN-10: 0387324968

ISBN-13: 9780387324968

The issues of reading and synthesizing musical timbres were regular for over part a century, and a booklet size exploration of this massive and complicated topic has been lengthy past due. research, Synthesis, and belief of Musical Sounds: Sound of song contains 8 chapters that span the variety from educational creation to complicated study and alertness to speculative overview of its a number of options. the entire individuals use a generalized additive sine wave version for describing musical timbre which supplies a conceptual team spirit yet is of adequate software to be tailored to many alternative projects. The authors characterize a world group of researchers and academics within the box of analysis/synthesis/perception, and this ebook displays the $64000 traits and pursuits present within the topic. as a result of its breadth, scholars will locate the publication an intensive creation to present pondering and implementation of additive sine wave timbral types. Researchers new to the sector will discover a canvas of purposes with citations to the proper literature, with a view to additionally profit the trainer looking for an efficient syllabus. as a result of its scope, research, Synthesis, and notion of Musical Sounds turns into the normal reference within the box and should be obvious because the catalyst for stimulating examine within the years ahead.

This booklet includes a whole and exact mathematical remedy of the sounds of song with an emphasis on musical timbre. The ebook spans the diversity from educational creation to complex study and alertness to speculative overview of its a variety of options. the entire individuals use a generalized additive sine wave version for describing musical timbre which supplies a conceptual cohesion, yet is of adequate application to be tailored to many alternative tasks.

Despite being a natural maths graduate, I nonetheless stumbled on that i must learn each one bankruptcy once or twice prior to i will be able to are aware of it. in spite of the fact that, i feel that is received extra to do with the subject material than the rest, its evidently relatively technical.
That being acknowledged, its precisely the details i'm trying to find, awarded concisely, economically and with a logical constitution. happy with my buy.

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Extra resources for Analysis, Synthesis, and Perception of Musical Sounds: The Sound of Music

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6. Block diagram of the fixed filter bank phase-vocoder analysis/resynthesis method, where n = sample number, k = harmonic number, and i = frame number: (a) analysis method; (b) additive resynthesis method based on harmonic analysis data. perceptually smaller result because, unlike the other methods that still retain the pitch of the original, at least in this case, it produces a pitchless broadband residual. In summary, Fig. 6 gives a block diagram of an analysis/synthesis system based on the fixed filter-bank (phase vocoder) approach.

1993; Maher and Beauchamp, 1994). This method was further developed by Cano (1998). The algorithm compares the frequencies of the peaks with the frequencies of the harmonics of a series of hypothetical fundamental frequencies. The name of the algorithm comes from its method of comparing the “measured” peak frequencies { f k , k = 1, . . , K } with the nearest “predicted” harmonic frequencies {nfo , n = 1, . . , N } [(where N = ceil(max( f k / f o ))] and, in reverse, comparing the harmonic frequencies with the nearest peak frequencies.

Computation of amplitude (magnitude), phase, and frequency follows from Eqs. 15h). First, the real and imaginary parts of c˜k (H i), which naturally result from an FFT or DFT, are taken to be ak (i) and bk (i), respectively. Then, for k ≥ 1, c˜k (H i) = e jπ k(P−i) Ak (H i) = 2 ak2 (i) + bk2 (i), θk (H i) = atan 2(bk (i), ak (i)), θk0 = θk (0). 20c) Calculating the frequency deviation from one frame to the next requires some care. It is essentially a matter of computing the difference between the phase of each frame and that of the preceding frame and multiplying the result by a suitable scale factor.

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


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