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In an FM system a carrier of 100MHz is modulated by a sinusoidal signal of 5KHz. The Bandwidth by carson's approximation is 1MHz. If y(t) = (modulated wave from)T then by using carson's approximate, the band width of y(t) around 300MHz, and spacing of Spectral components are, respectively
  • a)
    3 MHz, 5KHz    
  • b)
    1MHz, 15KHz
  • c)
    3MHz, 15KHz    
  • d)
    1MHz, 5KHz
Correct answer is option 'A'. Can you explain this answer?
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Carson's Rule

Carson's Rule is used to calculate the bandwidth of an FM signal. It states that the bandwidth of an FM signal is equal to twice the sum of the frequency deviation and the highest modulating frequency.

Bandwidth Calculation

Frequency deviation = maximum deviation of the carrier from its original frequency = 5kHz
Highest modulating frequency = 5kHz
Bandwidth = 2(5kHz + 5kHz) = 20kHz

Since the carrier frequency is 100MHz, we need to find the bandwidth of the modulated signal around 300MHz.

Spacing of Spectral Components

The spacing of spectral components is given by the formula:

Δf = 2fm/n

where Δf is the spacing, fm is the maximum frequency deviation, and n is the number of spectral components.

We know that fm = 5kHz and the bandwidth of the modulated signal is 20kHz. Therefore, the number of spectral components is given by:

n = (2 × 20kHz) / 5kHz = 8

Substituting the values in the formula, we get:

Δf = 2 × 5kHz / 8 = 1.25kHz

Since the carrier frequency is 100MHz, the spacing of spectral components is:

Δf = 100MHz / 8 = 12.5MHz

Therefore, the correct answer is option 'A': 3MHz bandwidth and 5kHz spacing of spectral components.
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In an FM system a carrier of 100MHz is modulated by a sinusoidal signal of 5KHz. The Bandwidth by carson's approximation is 1MHz. If y(t) = (modulated wave from)T then by using carson's approximate, the band width of y(t) around 300MHz, and spacing of Spectral components are, respectivelya)3 MHz, 5KHz b)1MHz, 15KHzc)3MHz, 15KHz d)1MHz, 5KHzCorrect answer is option 'A'. Can you explain this answer?
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In an FM system a carrier of 100MHz is modulated by a sinusoidal signal of 5KHz. The Bandwidth by carson's approximation is 1MHz. If y(t) = (modulated wave from)T then by using carson's approximate, the band width of y(t) around 300MHz, and spacing of Spectral components are, respectivelya)3 MHz, 5KHz b)1MHz, 15KHzc)3MHz, 15KHz d)1MHz, 5KHzCorrect answer is option 'A'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about In an FM system a carrier of 100MHz is modulated by a sinusoidal signal of 5KHz. The Bandwidth by carson's approximation is 1MHz. If y(t) = (modulated wave from)T then by using carson's approximate, the band width of y(t) around 300MHz, and spacing of Spectral components are, respectivelya)3 MHz, 5KHz b)1MHz, 15KHzc)3MHz, 15KHz d)1MHz, 5KHzCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an FM system a carrier of 100MHz is modulated by a sinusoidal signal of 5KHz. The Bandwidth by carson's approximation is 1MHz. If y(t) = (modulated wave from)T then by using carson's approximate, the band width of y(t) around 300MHz, and spacing of Spectral components are, respectivelya)3 MHz, 5KHz b)1MHz, 15KHzc)3MHz, 15KHz d)1MHz, 5KHzCorrect answer is option 'A'. Can you explain this answer?.
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