Title :
Statistical theory of quantization
Author :
Widrow, Bernard ; Kollár, István ; Liu, Ming-Chang
Author_Institution :
Dept. of Electr. Eng., Stanford Univ., CA, USA
fDate :
4/1/1996 12:00:00 AM
Abstract :
The effect of uniform quantization can often be modeled by an additive noise that is uniformly distributed, uncorrelated with the input signal, and has a white spectrum. This paper surveys the theory behind this model, and discusses the conditions of its validity. The application of the model to floating-point quantization is demonstrated
Keywords :
correlation theory; floating point arithmetic; higher order statistics; probability; quantisation (signal); signal sampling; stochastic processes; white noise; PDF; additive noise; area sampling; cross-correlation; floating-point quantization; high-order statistics; model; pseudoquantization noise; quantization noise; sampling theorem; statistical theory; uniform quantization; white spectrum; Additive noise; Fourier transforms; Frequency; Linear systems; Probability density function; Quantization; Sampling methods; Signal analysis; Signal mapping; Signal restoration;
Journal_Title :
Instrumentation and Measurement, IEEE Transactions on