PT Unknown
AU Luo, L
TI Implementation and optimization of the synthesis of musical instrument tones using frequency  modulation
PD 06
PY 2017
LA en
DE Synthesis; Frequency Modulation
AB Frequency modulation (FM) as an efficient method to synthesize musical sounds is
of great importance in the area of computer music. In this thesis, the estimation
of fundamental frequency, the FM synthesis procedure of musical instrument tones
and the optimization on FM synthesis were analysed, evaluated, improved and implemented.
A FM analysis and synthesis environment was developed, in which the
presented work in this thesis were implemented.
For the estimation of fundamental frequency of music signals, an algorithm based on
harmonic pattern match (HPM) was designed to achieve more reliable estimation
accuracy. After defining the spectrum subset, the autocorrelation was applied on the
spectrum subset to exploiting candidates of fundamental frequency, and an efficient
mechanism to evaluate the match between each candidate and the harmonic pattern
of the musical signal was designed. Evaluation of the proposed algorithm and several
other estimation algorithms was performed.
For the implementation of FM synthesis, the matching procedure of spectra using
genetic algorithm (GA) was described, including the definition of the task in GA
and the searching procedure of optimized FM parameters through GA. For the optimization
on FM synthesis, the requirements of carrier and modulator were analysed
and the parameter space was examined, based on which a method for the predetermination
of parameter space was designed to achieve accurate synthesis results. For
data reduction in FM synthesis, the piecewise linear approximation of the carrier
amplitude envelope was designed.
Further step on the FM synthesis optimization was implemented by the combination
of formants in the spectra matching procedure, in which the formant harmonics
were emphasized by the weighting coefficients to achieve more accurate timbre of
the synthesized sounds. The spectral envelope estimation and the formant extraction
were analysed and implemented. For the analysis and implementation of FM
synthesis, a testing environment program was developed, offering the functionality
of parameter estimation and performance evaluation in FM synthesis.
ER