Signals in Natural Domain
Chapter 2 : Simple Operations and properties of Sequences
 
Now we consider some operations based on independent variable n.
Shifting:
This is also known as translation. Let us shift a sequence  {x[n]} by  n0 units, and the resulting sequence be {y[n]}
                                                      $\displaystyle \{y[n]\}=z^{-n_{0}}(\{x[n]\})$  

where $ z^{-n_{0}}()$   is the operation of shifting the sequence right by n0 unit. The terms are defined by y[n] = x[n - n0]. We will use short notation {x[n - n0]} to denote shift by n0.
Figure below show some examples of shifting.
               {x[n]}
Consider the figure to the left.
 
                {x[n-2]}
A negative value of n0 means shift towards right.
 
                {x [n+1]}
A positive value of n0 means shift towards left.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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