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Local oscillator

Local oscillator 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 Local oscillator rather than just read about it. In short: In electronics, the term local oscillator (LO) refers to an electronic oscillator when used in conjunction with a mixer to change the frequency of a signal. This frequency conversion process, also called heterodyning, produces the sum and difference frequencies from the frequency of the local oscillator and frequency of the input signal to the mixer.

Local oscillator — main illustration
Local oscillator — illustration

Key takeaways

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

Reference excerpt

In electronics, the term local oscillator (LO) refers to an electronic oscillator when used in conjunction with a mixer to change the frequency of a signal. This frequency conversion process, also called heterodyning, produces the sum and difference frequencies from the frequency of the local oscillator and frequency of the input signal to the mixer. Processing a signal at a fixed frequency gives a radio receiver improved performance. In many receivers, the function of local oscillator and mixer is combined in one stage called a "converter" - this reduces the space, cost, and power consumption by combining both functions into one active device. The term local refers to the fact that the frequency is generated within the circuit and is not reliant on any external signals, although the frequency of the oscillator may be tuned according to external signals.

Applications

Local oscillators are used in the superheterodyne receiver, the most common type of radio receiver circuit. In this application, the frequency of the local oscillator (LO) is chosen to be similar to the radio frequency (RF) received on the antenna, such that the difference between them is much smaller than the RF. Either high-side injection (where the LO frequency is greater than the RF) or low-side injection (where the LO frequency is less than the RF) may be employed. The difference can then be filtered from the sum to extract the intermediate frequency (IF).

For high-side injection, f I F = f L O − f R F {\displaystyle f_{\mathrm {IF} }=f_{\mathrm {LO} }-f_{\mathrm {RF} }} . For low-side injection, f I F = f R F − f L O {\displaystyle f_{\mathrm {IF} }=f_{\mathrm {RF} }-f_{\mathrm {LO} }} . So the frequency chosen for the local oscillator should be f L O = f R F ± f I F {\displaystyle f_{\mathrm {LO} }=f_{\mathrm {RF} }\pm f_{\mathrm {IF} }} . They are also used in many other communications circuits such as modems, cable television set top boxes, frequency division multiplexing systems used in telephone trunklines, microwave relay systems, telemetry systems, atomic clocks, radio telescopes, and military electronic countermeasure (antijamming) systems. In satellite television reception, the microwave frequencies used from the satellite down to the receiving antenna are converted to lower frequencies by a local oscillator and mixer mounted at the antenna. This allows the received signals to be sent over a length of cable that would otherwise have unacceptable signal loss at the original reception frequency. In this application, the local oscillator is of a fixed frequency and the down-converted signal frequency is variable.

Performance requirements The performance of a signal processing system depends, amongst other factors, on the characteristics of the local oscillator.

Emissions - receiver design requires care to ensure no spurious signals are radiated by the local oscillator. Such signals can cause interference in the operation of other receivers. Stability - the local oscillator must produce a stable frequency with low harmonics. Stability must take into account temperature, voltage, and mechanical drift as factors. Power - the oscillator must produce enough output power to effectively drive subsequent stages of circuitry, such as mixers or frequency multipliers. Noise - it must have low phase noise where the timing of the signal is critical. Precision - in a channelized receiver system, the precision of tuning of the frequency synthesizer must be compatible with the channel spacing of the desired signals.

Types of LO A crystal oscillator is one common type of local oscillator that provides good stability and performance at relatively low cost, but its frequency is fixed, so changing frequencies requires changing the crystal. Tuning to different frequencies requires a variable-frequency oscillator which leads to a compromise between stability and tunability. With the advent of high-speed digital microelectronics, modern systems can use frequency synthesizers to obtain a stable tunable local oscillator, but care must still be taken to maintain adequate noise characteristics in the result. Phase-locked loops are an alternative means of generating precise LO frequencies. By synchronizing with another frequency source, this method ensures a high level of accuracy and stability.

Unintended LO emissions Detection of local oscillator radiation may disclose the presence of the receiver, such as in detection of automotive radar detectors, or detection of unlicensed television broadcast receivers in some countries. During World War II, Allied soldiers were not allowed to have superheterodyne receivers because the Axis soldiers had equipment which could detect the local oscillator emissions. This led to soldiers creating what is now known as a foxhole radio, a simple improvised radio receiver which has no local oscillator. The better WW II military communication receivers were engineered to suppress local oscillator emissions. For example, the famous RCA AR-88 has excellent shielding. It also uses two tuned pentode RF stages ahead of the superheterodyne mixer. Pentode tubes have virtually zero reverse gain so LO emissions could not back out through the antenna.

See also Direct conversion receiver Homodyne detection Heterodyne detection Optical heterodyne detection NE612, oscillator and a Gilbert cell multiplier mixer.

References

Worked examples

Example 1 — a first encounter with Local oscillator

Start with the simplest possible case. Write down what Local oscillator 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 Local oscillator 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 Local oscillator 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 Local oscillator

In research
Local oscillator 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 Local oscillator 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
Local oscillator is common in secondary-school and first-year university syllabi. It links to neighbouring topics Electronic oscillators, Feedback, Radio electronics, so understanding it makes those chapters shorter.
In everyday life
Look for Local oscillator 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 Local oscillator in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Local oscillator 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 Local oscillator out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Local oscillator in simple terms?

In electronics, the term local oscillator (LO) refers to an electronic oscillator when used in conjunction with a mixer to change the frequency of a signal. This frequency conversion process, also called heterodyning, produces the sum and difference frequencies from the frequency of the local oscil…

Why does Local oscillator 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 Local oscillator?

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 Local oscillator.

Tags

  • Electronic oscillators
  • Feedback
  • Radio electronics

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