Recall Sampling

Sampling: process of taking a sample (value) of a continuous waveform at regular time intervals .

Sampling rate: frequency at which samples are taken:

$\displaystyle f_s = \frac{1}{T_s}$ Hz $\displaystyle .$

Sampling the continuous-time sinusoid:

$\displaystyle x(t) = A\sin(\omega t + \phi),$

involves substituting continuous-time

with integer

multiples of the sampling period

$\displaystyle t \longrightarrow nT_s$

yielding a discrete-time sinusoid:

$\displaystyle x(n) = A\sin(\omega nT_s + \phi).$

Integer corresponds to the index of sequence .

Sinusoid may be implemented as an array or wavetable.

``Music 171: Wavetables and Samplers'' by Tamara Smyth, Department of Music, University of California, San Diego (UCSD).