Determine Periods of CT Signals

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SUMMARY

This discussion focuses on determining the periodicity of continuous-time (CT) signals. The signals analyzed include: a) x(t)=2sin(10πt-30°), which is periodic with a period of 0.1 seconds; b) x(t)=2cos(√2πt), which is non-periodic; c) x(t)=2sin(√πt), which is non-periodic; and d) x(t)=2cos(t+60°), which is periodic with a period of 2π seconds. The periodicity is established through the analysis of angular frequencies and their rationality.

PREREQUISITES
  • Understanding of continuous-time signals
  • Knowledge of periodic functions
  • Familiarity with angular frequency
  • Basic trigonometric identities
NEXT STEPS
  • Study the properties of periodic functions in signal processing
  • Learn about angular frequency and its implications in signal analysis
  • Explore the concept of harmonics in continuous-time signals
  • Review examples of non-periodic signals and their characteristics
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Students and professionals in electrical engineering, signal processing, and mathematics who are analyzing the periodicity of continuous-time signals.

jonbrutal
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Hi everyone

I really don't know how to start this questions, please help me. Thank you in advance for all your help & support.

Determine if each of the following CT signals is periodic. If periodic find it period.
a) x(t)=2sin(10$$\pi$$t-30degrees)
b) x(t) = 2 cos ($$\sqrt$$2$$\pi$$t)
c)x(t) = 2 sin ($$\sqrt$$$$\pi$$t)
d) x(t) = 2 cos (t+ 60degrees)
 
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