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Pulse-frequency modulation

Pulse-frequency modulation is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Pulse-frequency modulation rather than just read about it. In short: Pulse-frequency modulation (PFM) is a modulation method for representing an analog signal using only two levels (1 and 0). It is analogous to pulse-width modulation (PWM), in which the magnitude of an analog signal is encoded in the duty cycle of a square wave.

Pulse-frequency modulation — main illustration
Pulse-frequency modulation — illustration

Key takeaways

  • Pulse-frequency modulation belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Pulse-frequency modulation to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Pulse-frequency modulation from memory before moving on to harder problems.

Reference excerpt

Pulse-frequency modulation (PFM) is a modulation method for representing an analog signal using only two levels (1 and 0). It is analogous to pulse-width modulation (PWM), in which the magnitude of an analog signal is encoded in the duty cycle of a square wave. Unlike PWM, in which the width of square pulses is varied at a constant frequency, PFM fixes the width of square pulses while varying the frequency. In other words, the frequency of the pulse train is varied in accordance with the instantaneous amplitude of the modulating signal at sampling intervals. The amplitude and width of the pulses are kept constant.

Applications PFM is a method of encoding analog signals into trains of square pulses and therefore has a wide variety of applications. There are practical difficulties in the design of electronics when working with non-fixed frequencies, such as transmission line effects in board layout and magnetic component selection, so generally, PWM mode is preferred. There are, however, select cases in which PFM mode is advantageous.

Buck converters PFM mode is a common technique for increasing the efficiency of switching step-down DC-DC converters (buck converters) when driving light loads. In medium to high loads, the DC resistance of buck converter switching elements tends to dominate the overall efficiency of the buck converter. When driving light loads, however, the effects of DC resistances are reduced and AC losses in the inductor, capacitor, and switching elements play a larger role in overall efficiency. This is especially true in discontinuous mode operation, in which the inductor current drops below zero, resulting in the discharging of the output capacitor and even higher switching losses. PFM mode operation allows the switching frequency to be reduced and for a control method that prevents the inductor current from dropping below zero during light loads. Rather than applying square pulses of varying widths to the inductor, square pulse trains with a fixed 50% duty cycle are used to charge the inductor to a predefined current limit then discharge the inductor current to, but not below, zero. The frequency of these pulse trains is then varied to produce the desired output voltage with the aid of the output filter capacitor. This allows for a number of switching loss savings. The inductor is given known levels of peak current, which, if chosen carefully in regards to saturation current, can reduce switching losses in its magnetic core. Since the inductor current is never allowed to fall below zero, the output filter capacitor is not discharged and does not have to be recharged with every switching cycle to maintain the proper output voltage. All of this done at the expense of output voltage and current ripple, which increases as a result of the reduction in switching frequency and the gap between pulse trains.

See also Pulse-amplitude modulation Pulse-code modulation Pulse-density modulation Pulse-position modulation Rate coding, pulse-frequency modulation in living systems

References

External links Determining Buck Converter Efficiency in PFM Mode Pulse Frequency Modulation in Google Patents Introduction to Buck Converters: Understanding Mode Transitions: Contains a video with a nice description of PFM in the buck converter application.

Illustrations

Pulse-frequency modulation: Comparison of PFM (top) and PWM (bottom) of a signal that starts at a constant low value and then transitions to a constant high value.
Comparison of PFM (top) and PWM (bottom) of a signal that starts at a constant low value and then transitions to a constant high value.

Worked examples

Example 1 — a first encounter with Pulse-frequency modulation

Start with the simplest possible case. Write down what Pulse-frequency modulation claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Pulse-frequency modulation before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Pulse-frequency modulation ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Pulse-frequency modulation

In research
Pulse-frequency modulation appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Pulse-frequency modulation in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Pulse-frequency modulation is common in secondary-school and first-year university syllabi. It links to neighbouring topics Quantized radio modulation modes, so understanding it makes those chapters shorter.
In everyday life
Look for Pulse-frequency modulation outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Pulse-frequency modulation in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Pulse-frequency modulation means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Pulse-frequency modulation out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Pulse-frequency modulation in simple terms?

Pulse-frequency modulation (PFM) is a modulation method for representing an analog signal using only two levels (1 and 0). It is analogous to pulse-width modulation (PWM), in which the magnitude of an analog signal is encoded in the duty cycle of a square wave.

Why does Pulse-frequency modulation matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Pulse-frequency modulation?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Pulse-frequency modulation.

Tags

  • Quantized radio modulation modes

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