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- Sossio Vergara
- Digital Signal Processing
- 2007

The famous Fourier theorem states that, under some restrictions, any periodic function (or real world signal) can be obtained as a sum of sinusoids, and hence, a technique exists for decomposing a signal into its sinusoidal components. From this theory an entire branch of research has flourished: from the Short-Time or Windowed Fourier Transform to the… (More)

- Sossio Vergara
- Digital Signal Processing
- 2012

The generation of synthetic signals has been one of the first applications of computers. As a matter of fact the earliest electronic computers were analog and their output was, in effect, a signal. With the advent of digital electronic the initial method employed has been the application of the Fourier Theorem, generating signals as series of sinusoids, a… (More)

- Sossio Vergara
- Digital Signal Processing
- 2014

In a previous paper (Vergara, S., On Generic Frequency Decomposition. Part 1: Vectorial Decomposition. Dig. Sig. Proc. Vol. 17 N. 2 2007) it was discussed the viability of functional analysis using as a basis a couple of generic functions, and hence vectorial decomposition. Here we complete the paradigm exploiting one of the analysis methodologies developed… (More)

- Sossio Vergara
- ArXiv
- 2008

- Sossio Vergara
- ArXiv
- 2005

One of the most widely employed technique for the sound synthesis is based on the Fourier theorem that states that any signal can be obtained as a sum of sinusoids. Unfortunately this algorithm, when applied to synthesizers, requires some peculiar operations, as the addressing of a Look Up Table, that are not easily built-in in standard processors, thus… (More)

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