The shift operator is defined by
denotes the entire shifted signal
. Note that
since indexing is modulo
, the shift is circular
``cyclic''). However, we normally use it to represent time
samples. We often use the shift operator in
conjunction with zero padding
(appending zeros to the signal
) in order to avoid the ``wrap-around''
associated with a circular shift.
Successive one-sample shifts of a
sampled periodic sawtooth waveform having first period
Figure 7.2 illustrates successive one-sample delays of a periodic signal
having first period given by
(an impulse delayed one sample).
(a circular shift example).
(another circular shift example).
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