By T. W. Kerlin

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**Extra resources for Frequency Response Testing in Nuclear Reactors**

**Sample text**

This gives the number of shifts required of the input hardware per period and may be useful for assessing possible wear on this hardware during a test. (2) Runs. Successive occurrence of one of the states is called a run. There are (Z + l)/2 runs per period. Half of the runs are of one-bit length; onefourth are of two-bit length ; one-eighth are of three-bit length ; and so on, provided that the number of bits generated is greater than 1. In addition, there is one run of length n, where Ζ = 2n — 1.

7 harmonic number (k) Fig. 18. Complex and trigonometric amplitude spectrum for a square wave. the complex spectrum extends from — oo to + oo while the trigonometric form extends from 0 to oo. Modified square waves and their amplitude spectra are shown in Fig. 19. 5. Fourier Transforms 33 repeats— | C k| frequency repeats - I OK I -·····. frequency Fig. 19. Modified square waves and their amplitude spectra. increases. 12) where C(œ) is the Fourier coefficient at frequency ω, Ν the number of harmonics in a given frequency range, a n d Τ the fundamental period.

The complex spectrum extends from — oo to + oo while the trigonometric form extends from 0 to oo. Modified square waves and their amplitude spectra are shown in Fig. 19. 5. Fourier Transforms 33 repeats— | C k| frequency repeats - I OK I -·····. frequency Fig. 19. Modified square waves and their amplitude spectra. increases. 12) where C(œ) is the Fourier coefficient at frequency ω, Ν the number of harmonics in a given frequency range, a n d Τ the fundamental period. The fundamental period is the shortest time Τ for w h i c h / ( i ) = f(t + T).