Abstract
Finite registers used in computations act as additional noise sources in infrared Fourier transform spectroscopy. The relationship between these noise sources and classical noise sources is examined. The impact of finite register lengths on data acquisition, computation of the fast Fourier transform (FFT), and post-FFT spectral manipulations leads to the conclusion that the minimum recommended register length is 27 bits.
Get full access to this article
View all access options for this article.
References
1.
Mertz
L.
, Transformations In Optics , (Wiley , New York , 1965 ), pp. 27 –30 .
2.
Welch
P. D.
, IEEE Trans. Audio Electroacous . AU 17 , 151 (1969 ).
3.
Oppenheim
A. V.
and
Weinstein
C. J.
, Proc . IEEE 60 , 957 (1972 ).
4.
Hirschfeld
T.
, Anal. Chem. 48 , 721 (1976 ).
5.
Koenig
J. L.
, Appl. Spectrosc. 29 , 293 (1975 ).
6.
Hirschfeld
T.
and
Kizer
K.
, Appl. Spectrosc. 29 , 345 (1975 ).
7.
Mantz
A. W.
, Appl. Spectrosc. 30 , 539 (1976 ).
8.
Deardoff
J.
and
Trimble
C.
, Hewlett-Packard J. p. 8 , (April 1968 ).
9.
Oppenheim
A. V.
and
Schaefer
R. W.
, Digital Signal Processing (Prentice-Hall , Englewood Cliffs, NJ , 1975 ), p. 416 .
10.
Cohler
E. U.
, Computer Signal Processors, Inc. , “Study Report on Machine Word Size” (unpublished, 18 April 1969 ).
11.
Kaneko
T.
and
Liu
B.
, “Accumulation of Round-Off Error in Fast Fourier Transforms,” Air Force Report AFOSR-69-3018TR (November 1969 ).
12.
Weinstein
C. J.
, “Quantization Effects in Digital Filters,” Air Force Report AF 19 (628)-5167 (November 1969 ).
13.
Griffiths
P. R.
Foskett
C. T.
, and
Curbelo
R.
, Appl Spectrosc Rev , 6 , 31 –78 , (1972 ).
14.
Abramowitz
M.
and
Stegun
I. A.
, Eds., Handbook of Mathematical Functions (NBS Applied Mathematics Series, Washington, DC , 1964 ).
