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The effect of sampling and quantization on frequency estimation

Host-Madsen, A. (author)
Händel, Peter, 1962- (author)
1998
1998
English.
In: 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP. ; , s. 2217-2220
  • Conference paper (peer-reviewed)
Abstract Subject headings
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  • The effect of sampling and quantization on frequency estimation for a single sinusoid is investigated. The Cramer-Rao bound for 1 bit quantization is derived, and compared with the limit of infinite quantization. It is found that 1 bit quantization gives a slightly worse performance, however, with a dramatic increase of variance at certain frequencies. This can be avoided by using 4 times oversampling. The effect of sampling when using non-ideal antialiasing lowpass filters is therefore investigated. Cramer-Rao lower bounds are derived, and the optimal filters and sampling frequencies are found. Finally, fast estimators for 1 bit sampling, in particular correlation based estimators, are derived. The paper concludes with simulation results for 4 times oversampled 1 bit quantization

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik (hsv//swe)
ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering (hsv//eng)

Keyword

1 bit quantization;4 times oversampling;AWGN;Cramer-Rao bound;additive white Gaussian noise;correlation based estimators;frequency estimation;infinite quantization;nonideal antialiasing lowpass filters;optimal filters;quantization effect;sampling effect;sampling frequencies;simulation results;single sinusoid;Gaussian noise;correlation methods;filtering theory;frequency estimation;low-pass filters;quantisation (signal);signal sampling;white noise

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Händel, Peter, 1 ...
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Royal Institute of Technology

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