Abstract
A spectrum-recovery method is presented which efficiently computes an optimal unbiased linear spectrum-estimate for measurements obtained with Hadamard transform (HT) spectrometers having nonideal masks. This method has the following advantages over other spectrum-recovery techniques: it is computationally efficient, it requires no additional measurements, and it computes an optimal spectrum-estimate. In the method presented, after the mask of the HT spectrometer has been characterized, approximately 3N preliminary arithmetic operations are performed once for a given spectrometer, where N is both the number of spectral resolution-elements desired and the number of measurements required. Each spectrum-estimate to be recovered then requires only an additional O[N(log2 + 4)] arithmetic operations. In contrast, conventional methods for obtaining an optimal unbiased linear spectrum-estimate require O(N3) preliminary operations, and O(2N2) operations during each spectrum-recovery.
| Original language | English |
|---|---|
| Pages (from-to) | 746-750 |
| Number of pages | 5 |
| Journal | Applied Spectroscopy |
| Volume | 43 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1989 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Instrumentation
- Spectroscopy
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Efficient method for recovering the optimal unbiased linear spectrum-estimate from Hadamard transform spectrometers having nonideal masks. / Johnson, T. W.; Park, Jin Bae; Dyer, S. A.; Harms, B. K.; Dyer, R. A.
In: Applied Spectroscopy, Vol. 43, No. 5, 01.01.1989, p. 746-750.Research output: Contribution to journal › Article
TY - JOUR
T1 - Efficient method for recovering the optimal unbiased linear spectrum-estimate from Hadamard transform spectrometers having nonideal masks
AU - Johnson, T. W.
AU - Park, Jin Bae
AU - Dyer, S. A.
AU - Harms, B. K.
AU - Dyer, R. A.
PY - 1989/1/1
Y1 - 1989/1/1
N2 - A spectrum-recovery method is presented which efficiently computes an optimal unbiased linear spectrum-estimate for measurements obtained with Hadamard transform (HT) spectrometers having nonideal masks. This method has the following advantages over other spectrum-recovery techniques: it is computationally efficient, it requires no additional measurements, and it computes an optimal spectrum-estimate. In the method presented, after the mask of the HT spectrometer has been characterized, approximately 3N preliminary arithmetic operations are performed once for a given spectrometer, where N is both the number of spectral resolution-elements desired and the number of measurements required. Each spectrum-estimate to be recovered then requires only an additional O[N(log2 + 4)] arithmetic operations. In contrast, conventional methods for obtaining an optimal unbiased linear spectrum-estimate require O(N3) preliminary operations, and O(2N2) operations during each spectrum-recovery.
AB - A spectrum-recovery method is presented which efficiently computes an optimal unbiased linear spectrum-estimate for measurements obtained with Hadamard transform (HT) spectrometers having nonideal masks. This method has the following advantages over other spectrum-recovery techniques: it is computationally efficient, it requires no additional measurements, and it computes an optimal spectrum-estimate. In the method presented, after the mask of the HT spectrometer has been characterized, approximately 3N preliminary arithmetic operations are performed once for a given spectrometer, where N is both the number of spectral resolution-elements desired and the number of measurements required. Each spectrum-estimate to be recovered then requires only an additional O[N(log2 + 4)] arithmetic operations. In contrast, conventional methods for obtaining an optimal unbiased linear spectrum-estimate require O(N3) preliminary operations, and O(2N2) operations during each spectrum-recovery.
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U2 - 10.1366/0003702894202157
DO - 10.1366/0003702894202157
M3 - Article
AN - SCOPUS:0024702330
VL - 43
SP - 746
EP - 750
JO - Applied Spectroscopy
JF - Applied Spectroscopy
SN - 0003-7028
IS - 5
ER -