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Effects of quantization and sampling in digital correlators and in power spectral estimation

D.W. Tufts, +2 more
- Vol. 57, Iss: 1, pp 79-82
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TLDR
In this article, an efficient method for calculating the mean values and standard deviations of spectral estimates and decision variables is described which utilizes Kellogg's numerical approach for calculating correlation functions of quantized random waveforms.
Abstract
An efficient method for calculating the mean values and standard deviations of spectral estimates and decision variables is described which utilizes Kellogg's numerical method for calculating correlation functions of quantized random waveforms. The method and computer program are designed to explore the interaction between sampling (i.e., aliasing) and quantization effects.

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Citations
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Journal ArticleDOI

Effects of finite register length in digital filtering and the fast Fourier transform

TL;DR: The groundwork is set through a discussion of the relationship between the binary representation of numbers and truncation or rounding, and a formulation of a statistical model for arithmetic roundoff, to illustrate techniques of working with particular models.
Journal ArticleDOI

Designing simple, effective digital filters

TL;DR: It is shown that useful performance can be achieved within the constraints of very simple realizations in a class of narrow-band digital filters.
Journal ArticleDOI

Statistics of the inner product of a quantized, random vector and a constant vector: Effects of component correlation

TL;DR: In this article, the loss in signal detectability in a digital correlator due to quantization, sampling, and correlation was analyzed. But the results and the method for obtaining them are applicable to a wide class of problems in the design of digital systems and in numerical analysis.
Journal ArticleDOI

On Incremental Algorithms ror Averaging and Correlation Computation

TL;DR: These algorithms are developed for computing the mean and the correlation functions of time signals and Corresponding special-purpose computer organizations for a recursive averager and correlator are suggested.
References
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Journal ArticleDOI

Spectra of quantized signals

TL;DR: Quantizing of time, or time division, has found application as a means of multiplexing telephone channels and the more familiar word “sampling” will be used here interchangeably with the rather formidable term “quantization of time”.
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A useful theorem for nonlinear devices having Gaussian inputs

TL;DR: Application is made to the interesting special cases of conventional cross-correlation and autocorrelation functions, and Bussgang's theorem is easily proved.
Journal ArticleDOI

Information rates in sampling and quantization

TL;DR: A computer-aided analysis of a digital communications system has been conducted, and results compare the performance of approximately optimum PCM systems with the rate-distortion function, under the assumptions of Gaussian inputs and mean-square-error distortion measure.
Journal ArticleDOI

Linear Reconstruction of Quantized and Sampled Random Signals

TL;DR: For sufficiently high sampling rates, the filter that takes quantizing into account can achieve a significant reduction in quantizing error relative to the filter for unquantized samples, but when a constraint of constant channel capacity is imposed, there is essentially no difference between the optimal performances of the two filters.
Journal ArticleDOI

Quantization Noise in Digital Moving Target Indication Systems

TL;DR: The correlation between quantization errors on successive pulses is considered in the analysis and is shown to have a small quieting effect on the output quantization noise.
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