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Harmonic mixer

Harmonic mixer is a engineering 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 Harmonic mixer rather than just read about it. In short: The harmonic mixer and subharmonic mixer are a type of frequency mixer, which is a circuit that changes one signal frequency to another. The ordinary mixer has two input signals and one output signal.

Key takeaways

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

Reference excerpt

The harmonic mixer and subharmonic mixer are a type of frequency mixer, which is a circuit that changes one signal frequency to another. The ordinary mixer has two input signals and one output signal. If the two input signals are sinewaves at frequencies f1 and f2, then the output signal consists of frequency components at the sum f1+f2 and difference f1−f2 frequencies. In contrast, the harmonic and subharmonic mixers form sum and difference frequencies at a harmonic multiple of one of the inputs. The output signal then contains frequencies such as f1+kf2 and f1−kf2 where k is an integer.

Background The classic frequency mixer is a multiplier. Multiplying two sinewaves produces just the sum and difference frequencies; the input frequencies are suppressed, and, in theory, there are no other heterodyne products. In practice, the multiplier is not perfect, and the input frequencies and other heterodyne products will be present. An actual multiplier is not needed. The significant requirement is a nonlinearity, and at microwave frequencies it is easier to use a nonlinearity rather than an ideal multiplier. A Taylor series expansion of a nonlinearity will show multiplications that give rise to the desired higher order products. Design goals for mixers seek to select the desired heterodyne products and suppress the undesired ones. Diode mixers. Overdriven diode bridge mixers. Drive signal looks like odd harmonic waveform (essentially a square wave).

Design One classic design for a harmonic mixer uses a step recovery diode (SRD). The mixer's subharmonic input is first amplified to a power level that might be around 1 watt. That signal then drives a step recovery diode impulse generator circuit that turns the sine wave into something approximating an impulse train. The resulting impulse train has the harmonics of the input sine wave present to a high frequency (such as 18 GHz). The impulse train can then be used with a diode mixer (also called a sampler). The SRD usually has a very high frequency multiplication ratio, and can be used as the basis of a comb receiver, monitoring several harmonically related frequencies at once. This forms the basis of many simple 'bug detectors' where the intention is to detect transmission on any frequency, even if not known in advance. (This is not the same as a 'rake' receiver which is a correlation device.) When the required frequency multiple is lower, such as doubling, tripling or quadrupling, then Schottky diode circuits are more common. The conduction angle can be adjusted by changing drive level or temperature, and determines which part of the I/V curve is used and therefore the relative strengths of the different harmonically related outputs. If an even multiple is desired then an anti-parallel pair of diodes will suppress the odd local oscillator contribution, to the level that the diodes can be made identical and experience the same source impedance. Unlike a normal mixer, there is a fairly clear optimum drive level, above which the conversion loss increases. A harmonic mixer can be used to avoid the complexity of generating a microwave local oscillator, and is common as a simple and reliable frequency extender to a low frequency design.

Usage Subharmonic mixers (a particular form of harmonic mixer where the LO is provided at a sub multiple of the frequency to be mixed with the incoming signal) are often used in direct-digital, or zero IF, communications system in order to eliminate the unwanted effects of LO self-mixing which occurs in many fundamental frequency mixers. Used in frequency synthesizers and network analyzers. A variation on the subharmonic mixer exists that has two switching stages is used to improved mixer gain in a direct downconversion receiver. The first switching stage mixes a received RF signal to an intermediate frequency that is one-half the received RF signal frequency. The second switching stage mixes the intermediate frequency to baseband. By connecting the two switching stages in series, current is reused and harmonic content from the first stage is fed into the second stage thereby improving the mixer gain.

See also Frequency multiplier Sampling (signal processing) Synthesizer using harmonic mixing

References

External links http://www.microwaves101.com/encyclopedia/mixerssubharmonic.cfm Archived 2012-05-04 at the Wayback Machine Just hints at elements of SHM design Donsi, Tony (2002), Subharmonic Mixer Design with Ansoft Designer (PDF), Ansoft Roadshow, Ansoft, Presentation 9, archived from the original (PDF) on 2013-12-15. Describes some theory, use of antiparallel mixer diodes, odd harmonic selection

Worked examples

Example 1 — a first encounter with Harmonic mixer

Start with the simplest possible case. Write down what Harmonic mixer claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In engineering, 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 Harmonic mixer 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 Harmonic mixer 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 Harmonic mixer

In research
Harmonic mixer appears in engineering 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 Harmonic mixer 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
Harmonic mixer is common in secondary-school and first-year university syllabi. It links to neighbouring topics Communication circuits, Electrical circuits, Frequency mixers, so understanding it makes those chapters shorter.
In everyday life
Look for Harmonic mixer 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 Harmonic mixer in 20 minutes

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

Frequently asked questions

What is Harmonic mixer in simple terms?

The harmonic mixer and subharmonic mixer are a type of frequency mixer, which is a circuit that changes one signal frequency to another. The ordinary mixer has two input signals and one output signal.

Why does Harmonic mixer matter?

Because it connects several engineering 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 Harmonic mixer?

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 Harmonic mixer.

Tags

  • Communication circuits
  • Electrical circuits
  • Frequency mixers
  • Radio electronics
  • Telecommunication theory

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