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Vol. 33 Núm. 68 (2024)
Abril-Junio 2024 (Publicación Continua)

Articulos

B-Splines positivas usadas como mapeos en el cuantificador probabilístico

https://doi.org/10.19053/uptc.01211129.v33.n68.2024.17387

Publicado 2024-06-05

  • Juan-Pablo Hoyos-Sánchez
    • ,
  • Pablo-Emilio Jojoa

Juan-Pablo Hoyos-Sánchez
Universidad Nacional de Colombia image/svg+xml

Pablo-Emilio Jojoa
Universidad del Cauca image/svg+xml

Resumen

Un Cuantificador Dither consiste en una señal externa denominada Dither que se añade a la señal de entrada antes de la cuantización para controlar las propiedades estadísticas del error de cuantización. En el marco conocido como Procesamiento Cuántico de Señales (QSP por sus siglas en inglés), se desarrolló un cuantificador equivalente denominado cuantificador probabilístico, el cual es capaz de generar una señal Dither con una distribución de probabilidad conjunta arbitraria. Este trabajo demuestra cómo las funciones B-spline positivas pueden utilizarse como mapeo en el cuantificador probabilístico y las ventajas matemáticas para realizar su análisis. Además, establecemos una relación entre el orden de la B-spline y la representación de los momentos condicionales del error. Los resultados experimentales muestran que el enfoque propuesto ofrece un rendimiento a la par que el cuantificador Dither y su implementación es más fácil.

Palabras clave

B-spline, cuantificador Dither, cuantificador probabilístico, momentos condicionales, procesamiento cuántico de señales

PDF (English)

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