In this world of modern science, there exists an fascinating and enigmatic category known as semi-periodic signal. These intriguing waveforms dance on the border between periodic and aperiodic and exhibits patterns that captivate and challenge our understanding.
As we delve into the realm of semi-periodic signals, we embark on a journey to unravel the unique characteristics and applications that set them apart in the mesmerizing tapestry of signal processing.
In this article we will learn about semi-periodic signal in detail.
You can watch a quick YouTube video or read along.
What is signal?
Any physical quantity that will contain some kind of information is called as signal. Our universe is surrounded by signals. We use signals for the purpose of communication, wifi, internet,and for different purpose acording to the need.
The signal will vary in space or any other dependent or independent variable/variables.
Types of Signal
The signal is classified into two types:-
i) Periodic signal
ii) Aperiodic signal
i) Periodic signal – Any signal which will have some pattern and that will repeat itself after a regular periodic interval is called as periodic signal.
E.g Sine wave, traingular wave .
If any signal will satisfy the given equation, then that signal is periodic signal.
The equation is, x(t)= x(t ± T) ,
T is the fundamental time period.
For the signal to be periodic, it should satify two conditions, they are :-
a) It should exist from -∞ to ∞ .
b) ‘T’ must be finite.
If the signal does not satisfy this equation then, the signal is an aperiodic signal.
ii) Aperiodic signal – The signal which will not repeating itself after a interval is called as aperiodic signal.
Now, if the signal satisfies the second condition but not the first one, then the signal is called as semi periodic signal.
The signal which will not exist between 2π to 4π , and whose time period will be finite , that signal is called as semi-periodic signal.
In the rhythmic dance of signals that shape our world, periodic signals stand as a fundamental cornerstone. Through their unwavering repetition, they create the harmonious melodies of technology, science, and nature.
By understanding the principles of periodicity, we gain a powerful tool for deciphering the mysteries of the cosmos, communicating across distances, and unraveling the intricate tapestry of life itself.
As we continue to explore the symphony of signals that surround us, let us carry with us the appreciation for the beauty and significance that periodicity brings to our quest for knowledge and innovation.
