Keywords
trains of square waves
functions of time
representation of functions
Análisis de señales
trenes de ondas cuadradas
funciones del tiempo
representación de funciones
How to Cite
Abstract
The “Square-Wave Method” (SWM) presented here is a new method for the systematic analysis of signals – either locally or globally – depending on only one variable (time). The SWM is based on a technique (previously described elsewhere) for the representation of this type of signals using a sum of trains of square waves.
The SWM is applied here to several analytically characterized signals and to an audio signal.
References
Note: To the authors’ best knowledge, the technique of representing signals by sums of trains of square waves and the method of signal analysis described here are both original and no scientific literature is available on these topics. For this reason, only two references have been included below.
Boas, M. L. (2005) Mathematical Methods in the Physical Sciences (3rd ed.). John Wiley and Sons, Hoboken, NJ.
Skliar, O.; Medina, V.; Láscaris, T. (2000) “Análisis digital. Una nueva técnica para la representación de funciones acotadas que, en un intervalo finito, satisfacen las condiciones de Dirichlet”, Revista de Matemática: Teoría y Aplicaciones 7(1-2): 175–184.