For a signal, $s(t)$ undergoing multiple transformations of time scaling, reversal and delay, how should I approach the problem of finding the resultant output signal?
$$s\left(\pm \frac{t-t_0}{T}\right)$$
My approach of the problem was to
- First, shift the signal by $t_0$ (moving it right if $t_0>0$ and moving it left if $t_0<0$)
- Second, scale the signal by $T$ (expand the signal if $T>1$ and compress the signal if $T<1$)
- Third, flip/no-flip the signal around the value $t_0$ (Flip the signal if -ve signal is time is -ve and No Change if time is +ve).