Sound synthesis of musical instruments by filtering the frequency spectra of a complex signal

Zadatak ovog rada je istraživanje područja sinteze zvuka glazbenih instrumenata. Ukratko su navedene tipične metode računalne sinteze zvuka s osvrtima na prednosti i nedostatke izvedbe te je odabrana metoda aditivne resinteze pomoću spektralnog i vremenskog uparivanja za praktičnu implementaciju. Navedene su tipične značajke tona glazbenih instrumenata te su odabrani tipični predstavnici žičanih i puhačkih instrumenata za sintezu. Kao rezultat istraživanja implementiran je sintetizator zvuka 12 glazbenih instrumenata u programskom paketu MATLAB. Programskim kodom omogućena je sinteza monofonog tona te su prikazani rezultati sinteze u smislu frekvencijskog spektra, vremenske ovojnice i spektrograma. U MATLAB-u je napravljana GUI anketa u svrhu slušnog ispitivanja uspješnosti sinteze. Prikazani su rezultati ispitivanja te je procijenjena uspješnost sinteze u smislu vrijednosti sintetiziranih tonova pomoću navedene metode. U dodatku na kraju rada priloženi su dijelovi izvornog koda korišteni u implementaciji sintetizatora.The task of this thesis is to explore the field of sound synthesis of musical instruments. Typical methods of computer sound synthesis are listed with emphasis on the advantages and disadvantages of execution. Chosen method for practical implementation is additive resynthesis using spectral and temporal pairing. In thesis are listed typical features of musical instruments tons and selected typical representatives of string and wind of instruments for synthesis. As a result of the survey is implemented synthesizer sound for 12 musical instruments in MATLAB. Program code enables monaural tons synthesis and presents the results of synthesis in terms of the frequency spectrum, time envelope and spectrogram. GUI in MATLAB developed for the purpose of hearing tests for the performance of synthesis. The results of tests are listed and assessed by the success of the synthesis in terms of value of synthesized tones using the above method. In addition at the end of the thesis are included parts of the source code used in the implementation of the synthesizer