Time scaling/shifting of signals doubts.

Thread Starter

ace.neerav

Joined Sep 3, 2009
1
1. Why doesn't time scaling and shifting of signal follow algebraic precedence?

For example...
x(2t+1) is done as..
x(t+1), shifted left by 1, and then,
x(2t+1), compressed into half.

2. is x(-2+t) same as x[-(t-2)] ?
 

mik3

Joined Feb 4, 2008
4,843
I don't understand your first question but the answer for the second is that they are the same (just multiply the signs).
 

steveb

Joined Jul 3, 2008
2,436
1. Why doesn't time scaling and shifting of signal follow algebraic precedence?

For example...
x(2t+1) is done as..
x(t+1), shifted left by 1, and then,
x(2t+1), compressed into half.

2. is x(-2+t) same as x[-(t-2)] ?

Time scaling should follow algebraic precedence. Why do you feel that time scaling would be different?

In your first example, you do not have it right. You multiply t times 2 and then add 1.

In your second example, one time scaling is the negative or the other, since -(t-2)=-t+2=-(2-t). Same rules apply always, otherwise it would be too confusing.
 
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