Howtosignalprocessing
- Is the sum of 2 periodic signals periodic?
- What is periodic aperiodic signal?
- Is a sum of aperiodic discrete time sequences ever periodic?
- Can sum of a periodic and non-periodic function be periodic?
Is the sum of 2 periodic signals periodic?
Sums of periodic functions are not always periodic
, whose terms have least periods 2π and 2 respectively.
What is periodic aperiodic signal?
A signal is said to be periodic signal if it has a definite pattern and repeats itself at a regular interval of time. Whereas, the signal which does not at the regular interval of time is known as an aperiodic signal or non-periodic signal.
Is a sum of aperiodic discrete time sequences ever periodic?
Explanation: The sum of discrete time periodic signals always periodic because the period ratios N/N are always rational.
Can sum of a periodic and non-periodic function be periodic?
Yes, it is possible. For example, , satisfy the property. is clearly periodic, and the sum, which is is also periodic.
