Answer 4

Give the sinusoid's sampling rate and frequency.

$\includegraphics[scale=.8]{eps/QSampRecon1}$

The period is 2 seconds (or, there is 1/2 cycle after 1 second) and the frequency is 1/2 Hz.

The sinusoid has 8 samples in 1 second and thus the sampling rate is Hz.

The period has 16 samples and is thus $16 \times 1/8 = 2$ seconds long. The frequency is thus .5 Hz.

``Music 171: Fundamentals of Digital Audio'' by Tamara Smyth, Department of Music, University of California, San Diego (UCSD).