Analysis of alternating-current waves by the method of Fourier with special reference to methods of facilitating the computations . 528 sin i5(/>i^-i5°7)+ sin i7(/>/-3°o) which shows that, for this cvuve, an analysis using only 6 points or12 points would be insufficient. EXAMPLE 4. CHOICE OF SCHEDULE In order to illustrate what has been said with respect to thechoice of schedule to be used in any given instance, the analysis ofeach of the three curves in the preceding examples has been carriedthrough with each of the three schedules given here, the results ofthese analyses being se


Analysis of alternating-current waves by the method of Fourier with special reference to methods of facilitating the computations . 528 sin i5(/>i^-i5°7)+ sin i7(/>/-3°o) which shows that, for this cvuve, an analysis using only 6 points or12 points would be insufficient. EXAMPLE 4. CHOICE OF SCHEDULE In order to illustrate what has been said with respect to thechoice of schedule to be used in any given instance, the analysis ofeach of the three curves in the preceding examples has been carriedthrough with each of the three schedules given here, the results ofthese analyses being set forth in Table 8. From this table we see that, for the curve in Example i, theanalysis from 6 points is sufficient for all purposes, the ampli-tudes of the higher harmonics, found by carrying out the analysisto include more points, are of the order of magnitude of the errorsin reading the ordinates, and are not to be regarded as of practicalsignificance. Errors in the curve, due to slight progressive varia-tions in the voltage generated by the machine, where not averaged 594 Bulletin of the Bureau of Standards [ X:--. 4 ^ I «5 § 4i ^1^5 1 •4S I CO


Size: 1007px × 2482px
Photo credit: © The Reading Room / Alamy / Afripics
License: Licensed
Model Released: No

Keywords: ., bookcentury1900, bookdecade1910, booksubjectphysics, bookyear1913