What is Frequency Modulation

What is Frequency Modulation? Explain the process with diagram and mathematical analysis

This entry is part 5 of 6 in the series Communication Electronics

Definition: Frequency modulation is defined as the process, in which the frequency of carrier signal is changed in accordance with the amplitude of modulating signal.

To produce FM wave, a carrier signal of frequency fc is mixed with another low frequency modulating signal of frequency fm in a circuit known as frequency modulator. To understand how frequency modulation process takes place, consider following diagram –

image 97 Vidyasagar Academy

Relation of FM Wave with Modulating Signal

Suppose we have a modulating signal of frequency fm and a carrier signal of frequency fc. Now in FM process, the amplitude of carrier signal changes in accordance with the changing amplitude of modulating signal.

So there three possible conditions during this process, as follows –

  1. When amplitude of modulating signal is zero, the frequency of carrier signal remains the same i.e. fc known as center frequency.
  2. When amplitude of modulating signal is at positive peak, then the carrier signal frequency increases to fmax.
  3. When amplitude of modulating signal is at negative peak, then the carrier signal frequency decreases to fmin.

Thus the frequency of carrier signal swings between two limits fmax to fmin. Also when frequency of modulating signal is more, rate of carrier frequency swing is also more.

Important Definitions

Read these definition to understand the process of FM in details…

Frequency deviation

The amount of change in carrier frequency produced by modulating signal is called as frequency deviation Δf of the system.

Modulation index

The ratio of frequency deviation Δf to modulating frequency fm is known modulation index. It is given as –

m = Δf / fm

Percentage modulation

The percentage modulation is the ratio of actual frequency deviation to the maximum carrier deviation.

%m = Δfobserved / Δfmax = Δfobserved / 75kHz

In today’s modern FM radio stations, the value of Δfmax = 75kHz

Sidebands

Unlike AM, there is large number of sidebands in FM. The number of sidebands depends on the amplitude of modulating signal.

Ideally FM has infinite number of sideband pairs i.e. both upper and lower sidebands. Their frequencies are fm, 2fm, 3fm, 4fm, 5fm . . . and so on, as shown in the following diagram.

image 98 Vidyasagar Academy
Sidebands produced during FM process (Frequency domain display of FM wave)

Comparison of AM & FM

Amplitude modulationFrequency modulation
AM signal contains lots of noise. This noise also depends on weather conditions.FM gives noiseless reception. It quality of sound is better.
The coverage area of AM transmission is more.The coverage area of FM transmission is less.
Fidelity is less.Fidelity is more.
High quality transmission is not possible.So high quality (Hi-Fi) transmission is possible.
Adjacent interference is present.Adjacent interference is absent.
AM wave can refract through ionosphere. It bends and comes back to earth to cover large area.FM wave cannot refract through ionosphere of earth glob. It goes straight into space, without bending.
AM wave can travel beyond horizon of the globe.FM wave can travel only up to line of sight distance.
The bandwidth of AM is very small.The bandwidth of FM is very large.
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Prof. Dattaraj Vidyasagar
Prof. Dattaraj Vidyasagar

Author on this website. He is veteran of Core Electronics since last 36+ years. ATL Mentor of Change, Niti Ayog, Govt. of India, Google Certified Educator, International Robotics Trainer and author of 18 books on electronics, robotics, programming languages and web designing... ➤➤

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Ishwari Sathe
Ishwari Sathe
2 years ago

Do you have article on AM?
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