The effect of sampling and quantization on frequency estimation
نویسندگان
چکیده
The effect of sampling and quantization on frequency estimation for a single sinusoid is investigated. Cramér-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. Cramér-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 is concluded with simulation results for 4 times oversampled 1 bit quantization.
منابع مشابه
On frequency estimation from oversampled quantized observations
The effect of sampling and quantization on frequency estimation for a single sinusoid is investigated. Asymptotic Cramér-Rao bounds (CRB) for 1-bit quantization and for non-ideal filters are derived, which are simpler to calculate than the exact CRB while still relatively accurate. It is further investigated how many bits should be used in quantization to avoid the problems of 1-bit quantizatio...
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