How can the phase of a complex signal in polar form be determined?

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SUMMARY

The discussion focuses on determining the phase of the complex signal represented in polar form, specifically the signal x(t) = t / (1 + it) from the textbook "Fundamentals of Signals and Systems" by Boulet. The amplitude is established as |t| / √(1 + t²). To find the phase, participants suggest converting the signal into the "a + ib" form, which simplifies the calculation of the phase angle.

PREREQUISITES
  • Understanding of complex numbers and their polar representation
  • Familiarity with the concept of amplitude in signal processing
  • Knowledge of phase angle calculation in complex signals
  • Basic proficiency in mathematical functions and transformations
NEXT STEPS
  • Learn how to convert complex signals into "a + ib" form
  • Study the calculation of phase angles in polar coordinates
  • Explore the properties of complex functions in signal processing
  • Review examples of amplitude and phase calculations in signal analysis
USEFUL FOR

This discussion is beneficial for students and professionals in electrical engineering, particularly those studying signal processing and complex analysis. It is also useful for anyone looking to deepen their understanding of polar forms in complex signals.

shazaduh
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Hi I found this problem in the Fundamentals of Signals and Systems by Boulet problem 1.1

find the polar form of following signal.

x(t) = t / ( 1 + it)

I know Amplitude = |t| / ([tex]\sqrt{[/tex](1 + t[tex]^{2}[/tex])}

now how do we find the phase. Any help is appreciated.
 
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If you write the function in "a + ib" form, phase is easier to calculate.
 

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