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A necessary and sufficient condition for quantization errors to be uniform and white

1977/10/01 by A. Sripad, Anekal B. Sripad, D. Snyder +1 · 456 citations
Computer Science · Mathematics · #Additive white Gaussian noise #Advanced Data Compression Techniques #Algorithm #Applied mathematics #Artificial intelligence #Computer science #Control theory (sociology) #Digital Filter Design and Implementation #Gaussian #Gaussian noise #Image and Signal Denoising Methods #Mathematics #Physics #Quantization (signal processing) #Statistics #White noise

paper · doi:10.1109/tassp.1977.1162977

published in IEEE Transactions on Acoustics Speech and Signal Processing 25(5), 442-448 (Institute of Electrical and Electronics Engineers)

openalex publication_date 1977/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/26

Abstract

In this paper, a necessary and sufficient condition is given to model the output of a quantizer as an infinite-precision input and an additive, uniform, white noise. The statistical properties of the quantization error are studied, and a detailed analysis for Gaussian distributed inputs is given.

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