What Is the Bandwidth of a 1kHz Modulated 146.52MHz Carrier Using Carson's Rule?

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SUMMARY

The bandwidth of a frequency-modulated (FM) signal with a 1kHz modulating frequency and a carrier frequency of 146.52MHz, using a peak deviation of 5kHz, is calculated using Carson's Rule. According to Carson's Rule, the approximate bandwidth is determined by the formula: BW = 2(deviation + frequency of the modulating signal). This results in a calculated bandwidth of 16kHz, which is confirmed as correct based on the spectral analysis of the FM signal.

PREREQUISITES
  • Understanding of FM modulation and its parameters
  • Familiarity with Carson's Rule for bandwidth calculation
  • Basic knowledge of spectral analysis in signal processing
  • Ability to interpret modulation indices in communication systems
NEXT STEPS
  • Study the derivation and applications of Carson's Rule in detail
  • Learn about spectral analysis techniques for FM signals
  • Explore the impact of modulation index on bandwidth and signal quality
  • Investigate advanced FM modulation techniques and their bandwidth implications
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Students in communication engineering, signal processing professionals, and anyone involved in analyzing or designing FM communication systems.

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Urgent...Communication Question

Homework Statement



A 1kHz sinusoidal frequency modulates a carrier at 146.52MHz with a peak deviation of 5kHz.Evaluate the exact magnitude spectra of FM signal if Ec=1. Sketch your result. Using carson's rule, evaluate the approximate bandwidth of the FM signal, and see if it is a resonable number when compared with your spectral plot.

Homework Equations



FM modulation index = deviation divide by frequency of the intelligence (modulating) signal

Carson rules approximate equivalent to 2(deviation(max) + frequency of the intelligence (modulating) signal(max) )

The Attempt at a Solution



the BW i get is 16kHz ...is that correct?
 
Last edited:
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Please help me check is that the bandwidth is 16kHz...thanks...cause i not so sure is that correct or not
 

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