Periodicity of Continuous Time Signals (Problem 1) | Representation of Signals | Signals and Systems

TL;DR

This video explains how to determine if a continuous time signal is periodic or not.

Transcript

hello students in this video we are going to see a continuous time signal and will check whether the given signal is periodic or not so simple signal x of t is given as 14 plus 40 cos 65 into t and what you have to find out determine whether the signal is periodic or not and for this what if it is periodic one will find out the fundamental time per... Read More

Key Insights

• ⌛ The video focuses on determining the periodicity of continuous time signals by comparing them with standard equations.
• 🖐️ The frequency, represented by omega, plays a crucial role in determining if a signal is periodic or not.
• 🍉 The constant term in the signal does not affect its periodicity.
• ⌛ A step-by-step procedure is provided to find the fundamental time period of a continuous time signal.
• 🆘 The given example is simple to help understand the concepts clearly.
• ⌛ Continuous time signals are always periodic, regardless of the value of the variable e.

Questions & Answers

Q: How do you determine if a continuous time signal is periodic or not?

To determine the periodicity, compare the signal with a standard equation containing sine and cosine terms, focusing on the value of omega.

Q: What does the value of omega represent in determining periodicity?

In determining periodicity, omega represents the frequency of the signal. By comparing the value of omega, it can be determined if the signal is periodic.

Q: What role does the constant play in determining periodicity?

The constant term in the signal does not play a role in determining periodicity. It is the trigonometric terms and their values that are important for assessing periodicity.

Q: How can the fundamental time period be calculated?

The fundamental time period can be calculated by solving the equation 2 pi / t = omega, where omega is the frequency of the signal.

Summary & Key Takeaways

• The video discusses the process of determining if a given continuous time signal is periodic or not.

• It emphasizes comparing the signal with a standard equation containing sine and cosine terms.

• The video provides a step-by-step procedure to find the fundamental time period of the signal.