Spectral Analysis of Random Sampling and Error Free Recovery by an Iterative Method
Summary :
We show that if a signal (random or deterministic) is sampled nonuniformly (with Poisson or uniform distribution) and then low pass filtered, the output signal is equal to the input signal plus an additive white noise uncorrelated to the input signal. Hence, the power spectrum of random nonuniform samples and SNR is derived. Similar results can be derived for uniform sampling with some missing samples or with time jitter. We finally, show that the original signal can be recovered exactly (in the mean squared error sense) from random nonuniform samples by an iterative method provided that the average sampling rate is greater than the Nyquist rate.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E69-E No.2 pp.79-82
- Publication Date
- 1986/02/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- LETTER
- Category
- Signal Processing and Theory
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Farokh A. MARVASTI, "Spectral Analysis of Random Sampling and Error Free Recovery by an Iterative Method" in IEICE TRANSACTIONS on transactions,
vol. E69-E, no. 2, pp. 79-82, February 1986, doi: .
Abstract: We show that if a signal (random or deterministic) is sampled nonuniformly (with Poisson or uniform distribution) and then low pass filtered, the output signal is equal to the input signal plus an additive white noise uncorrelated to the input signal. Hence, the power spectrum of random nonuniform samples and SNR is derived. Similar results can be derived for uniform sampling with some missing samples or with time jitter. We finally, show that the original signal can be recovered exactly (in the mean squared error sense) from random nonuniform samples by an iterative method provided that the average sampling rate is greater than the Nyquist rate.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e69-e_2_79/_p
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@ARTICLE{e69-e_2_79,
author={Farokh A. MARVASTI, },
journal={IEICE TRANSACTIONS on transactions},
title={Spectral Analysis of Random Sampling and Error Free Recovery by an Iterative Method},
year={1986},
volume={E69-E},
number={2},
pages={79-82},
abstract={We show that if a signal (random or deterministic) is sampled nonuniformly (with Poisson or uniform distribution) and then low pass filtered, the output signal is equal to the input signal plus an additive white noise uncorrelated to the input signal. Hence, the power spectrum of random nonuniform samples and SNR is derived. Similar results can be derived for uniform sampling with some missing samples or with time jitter. We finally, show that the original signal can be recovered exactly (in the mean squared error sense) from random nonuniform samples by an iterative method provided that the average sampling rate is greater than the Nyquist rate.},
keywords={},
doi={},
ISSN={},
month={February},}
Copy
TY - JOUR
TI - Spectral Analysis of Random Sampling and Error Free Recovery by an Iterative Method
T2 - IEICE TRANSACTIONS on transactions
SP - 79
EP - 82
AU - Farokh A. MARVASTI
PY - 1986
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E69-E
IS - 2
JA - IEICE TRANSACTIONS on transactions
Y1 - February 1986
AB - We show that if a signal (random or deterministic) is sampled nonuniformly (with Poisson or uniform distribution) and then low pass filtered, the output signal is equal to the input signal plus an additive white noise uncorrelated to the input signal. Hence, the power spectrum of random nonuniform samples and SNR is derived. Similar results can be derived for uniform sampling with some missing samples or with time jitter. We finally, show that the original signal can be recovered exactly (in the mean squared error sense) from random nonuniform samples by an iterative method provided that the average sampling rate is greater than the Nyquist rate.
ER -
English
