Signals & Systems - GATE practice papers - Electronics & Communication for Q. 530

Q.  What is the obligatory sequence that need to be performed or executed in time shifting ,scaling and time reversal operational processes under the category of continuous time signals? (Marks : 02)
- Published on 19 Oct 15

a. Time Shifting, Time Scaling & Time Reversal
b. Time Scaling, Time Reversal & Time Shifting
c. Time Shifting, Time Reversal & Time Scaling
d. Time Reversal, Time Scaling & Time Shifting

ANSWER: Time Shifting, Time Scaling & Time Reversal
 
In accordance to the properties of continuous time signals, when the stages of time shifting, scaling and reversal are to be performed,then it is always obligatory to initially perform time shifting, and then scaling and the reversal.
This is so because scaling can only be done after shifting the time signal. Time shifting property does not affect the amplitude of signal but it shows a slightly delayed version of original signal.
Eventually, once the signal undergoes time scaling, it can further undergo the time reversal phase, where the exact reflection of the time-scaled signal is generated about Y-axis.

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