MURAL - Maynooth University Research Archive Library

    Considerations for a Computational Estimation of the Complex FM Spectrum

    Timoney, Joseph and Lazzarini, Victor and Lysaght, Thomas and Kleimola, Jari and MacManus, Lorcan (2011) Considerations for a Computational Estimation of the Complex FM Spectrum. In: Irish Sound Scienc Technology Conference 2011, August 10-11 2011, University of Limerick, Limerick, Ireland.

    [img] Download (136kB)

    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...

    Add this article to your Mendeley library


    Complex frequency modulation (FM) is a useful method for sound synthesis as it allows the creation of rich timbres using only a small number of waveforms. However, the mathematical expression for the frequency domain representation of a frequency modulated (FM) wave with a non-sinusoidal modulator is a complex equation with multiple summation terms. Its implementation in software requires nested loops, with the number of loops depending on the number of sinusoidal components required to describe the complex modulator wave. Although the spectral representation can be easily computed from the FFT of the time domain waveform, this is at the expense of the insight that can be gained by direct evaluation of the analytic expression for the frequency domain representation. This paper looks at creating a software implementation of the analytic expression that overcomes the need for many nested loops and can be generalized. It will also suggest how it could be applied in a distributed processing environment.

    Item Type: Conference or Workshop Item (Paper)
    Keywords: Computational Estimation; Complex FM Spectrum;
    Academic Unit: Faculty of Arts,Celtic Studies and Philosophy > Music
    Faculty of Science and Engineering > Computer Science
    Item ID: 4108
    Depositing User: Joseph Timoney
    Date Deposited: 28 Jan 2013 15:08
    Refereed: Yes
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

    Repository Staff Only(login required)

    View Item Item control page


    Downloads per month over past year

    Origin of downloads