Expression For Frequency Modulation
We can represent the expression for frequency-modulated wave by using a sine or cosine work for the vitality of the baseband signal.
We know wave equation as:
m(t) = Am cos(ωmt + ϴ)
- m(t) is Balancing Signal
- Am is Amplitude of Balancing Signal
- ωm is Angular Recurrence of Tweaking Signal
- ϴ is is Period of the Balancing Signal
when we try to modulate an input signal, we need an expression for carrier wave also
C(t) = AC cos(wct + ϴ)
From amplitude modulation , we need two sine or cosine waves for modulation
m(t) = Am cos (ωmt) and
c(t) = Ac cos (ωct)
or
m(t) = Am cos (2π fmt)
c(t) = Ac cos (2πfct)
Then frequency modulated wave will be:
fm(t) = fc + k A cos (2π fmt )
fm (t) = fc + k m(t)
where,
- fm(t) is Frequency Modulated Wave
- fc is Frequency of Carrier Wave
- m(t) is Modulating Signal
- k is Proportionality Constant
Frequency Modulation
Frequency Modulation or FM is a method of encoding information on one carrier wave by changing the wave carrier frequency. Frequency Modulation technology is used in the fields of computing, telecommunications, and signal processing. In frequency modulation, the frequency of the carrier wave is changed according to the frequency of the modulating signal.
In this article, we will discuss the definition of frequency modulation, its advantages and disadvantages, the modulation index, the differences between AM and FM, and the expressions for frequency modulation.
Table of Content
- What is Frequency Modulation?
- Frequency Modulation Deviation
- Frequency Modulation Demodulation
- Application of Frequency Modulation
- Modulation Index
- Difference between FM and AM
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