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Subelement E7

PRACTICAL CIRCUITS

Section E7C

Filters and matching networks: types of networks; types of filters; filter applications; filter characteristics; impedance matching; DSP filtering

How are the capacitors and inductors of a low-pass filter Pi-network arranged between the network's input and output?

  • Two inductors are in series between the input and output, and a capacitor is connected between the two inductors and ground
  • Two capacitors are in series between the input and output and an inductor is connected between the two capacitors and ground
  • An inductor is connected between the input and ground, another inductor is connected between the output and ground, and a capacitor is connected between the input and output
  • Correct Answer
    A capacitor is connected between the input and ground, another capacitor is connected between the output and ground, and an inductor is connected between input and output

Think of the symbol "Pi" (\(\pi\)). It's the same shape, with the two lines going down to the ground.

For a Low Pass function, the two capacitors will lead the higher frequencies to ground while opposing that path to lower frequencies. The inductor leads the lower frequencies to the output while opposing that path to higher frequencies.

Capacitors block DC

Also see Wikipedia article section and accompanying images: https://en.wikipedia.org/wiki/Pi_filter#T_and_π_filters

Silly Hint: when I see the word "Pi", I imagine an excited child, he gets all excited, I want a capacitor and, and another and and! (it works in my mind, lol!)

For us US Navy Veterans stationed onboard a ship. I think of C.I.C. - Combat Information Center. In this case --> Capacitor, Inductor, Capacitor.

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A T-network with series capacitors and a parallel shunt inductor has which of the following properties?

  • It is a low-pass filter
  • It is a band-pass filter
  • Correct Answer
    It is a high-pass filter
  • It is a notch filter

A capacitor has a response that increases as frequency increases and an inductor has the opposite response, it decreases as frequency increases. In the circuit described the inductor is between the signal path and ground and the capacitor in the signal path.

So, the capacitor impedes the passage of low frequencies in the signal path and the inductor allows the passage of low frequencies to ground leaving the higher frequencies as the only ones that pass through the T-network described.

See the images and description at https://en.wikipedia.org/wiki/Pi_filter#T_and_π_filters

Hint: a Touchdown pass is thrown HIGH

Another hint: Shunt rhymes with blunt which will make you high. Remember, folks, this is just a stupid mnemonic. DON'T DO DRUGS!

Movie Hint: Think of T-Rex as a HIGH dinosaur.

Yet Another: If you're Bri-ish, you enjoy High Tea!

Also, the upper part of the letter “T” crosses the high side of the letter. Hence the answer is high-pass filter.

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What advantage does a Pi-L-network have over a Pi-network for impedance matching between the final amplifier of a vacuum-tube transmitter and an antenna?

  • Correct Answer
    Greater harmonic suppression
  • Higher efficiency
  • Lower losses
  • Greater transformation range
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How does an impedance-matching circuit transform a complex impedance to a resistive impedance?

  • It introduces negative resistance to cancel the resistive part of impedance
  • It introduces transconductance to cancel the reactive part of impedance
  • Correct Answer
    It cancels the reactive part of the impedance and changes the resistive part to a desired value
  • Network resistances are substituted for load resistances and reactances are matched to the resistances

Hint: 4 "C's" Circuit + Complex = Cancels + Changes

The term “impedance matching” is rather straightforward. It’s simply defined as the process of making one impedance look like another. Frequently, it becomes necessary to match a load impedance to the source or internal impedance of a driving source. It’s crucial that the reactive components cancel each other. An example is the delivery of maximum power to an antenna. Impedances in radio-frequency transmitters must be matched to pass maximum power from stage to stage. Most impedance include inductances and capacitance that must also be factored into the matching process. Antenna impedance must equal the transmitter output impedance to receive maximum power.

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Which filter type is described as having ripple in the passband and a sharp cutoff?

  • A Butterworth filter
  • An active LC filter
  • A passive op-amp filter
  • Correct Answer
    A Chebyshev filter

Chebyshev filters are analog or digital filters with a steep roll off at the edge of their passband and a ripple within the passband or stopband.

see: http://en.wikipedia.org/wiki/Chebyshev_filter

You can easily rule out two answers because op amps are active and LC filters are passive.

To rule another option out: "Butterworth filters are as smooth as Butter".

Another hint: "shev" looks like "shiv" which is slang for knife. And knives are sharp. Chebyshiv! (sounds like it could be the name of a mob boss)

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What are the distinguishing features of an elliptical filter?

  • Gradual passband rolloff with minimal stop band ripple
  • Extremely flat response over its pass band with gradually rounded stop band corners
  • Correct Answer
    Extremely sharp cutoff with one or more notches in the stop band
  • Gradual passband rolloff with extreme stop band ripple

An elliptic filter (also known as a Cauer filter, named after Wilhelm Cauer, or as a Zolotarev filter, after Yegor Zolotarev) is a signal processing filter with equalized ripple (equiripple) behavior in both the passband and the stopband. The amount of ripple in each band is independently adjustable, and no other filter of equal order can have a faster transition in gain between the passband and the stopband, for the given values of ripple (whether the ripple is equalized or not). Alternatively, one may give up the ability to adjust independently the passband and stopband ripple, and instead design a filter which is maximally insensitive to component variations.

As the ripple in the stopband approaches zero, the filter becomes a type I Chebyshev filter. As the ripple in the passband approaches zero, the filter becomes a type II Chebyshev filter and finally, as both ripple values approach zero, the filter becomes a Butterworth filter. - K4AGO

https://en.wikipedia.org/wiki/Elliptic_filter

A key feature of elliptical filters is a sharp cutoff. Only one answer shows this.

Hint: elliptical saw has a sharp cutoff

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What kind of filter would you use to attenuate an interfering carrier signal while receiving an SSB transmission?

  • A band-pass filter
  • Correct Answer
    A notch filter
  • A Pi-network filter
  • An all-pass filter

To attenuate or block adjacent signals on an SSB receiver, turn on your notch filter and adjust slowly until the adjacent signal is minimized.

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What kind of digital signal processing audio filter might be used to remove unwanted noise from a received SSB signal?

  • Correct Answer
    An adaptive filter
  • A crystal-lattice filter
  • A Hilbert-transform filter
  • A phase-inverting filter

An adaptive filter is used in digital signals processing (DSP) to remove unwanted "audio" noise in single-sideband (SSB).


Hint: "adaptive is for audio"

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What type of digital signal processing filter might be used to generate an SSB signal?

  • An adaptive filter
  • A notch filter
  • Correct Answer
    A Hilbert-transform filter
  • An elliptical filter

Hint: Transforms.

Extract from here:

Single-Sideband (SSB) Modulation is an efficient form of Amplitude Modulation (AM) that uses half the bandwidth used by AM. This technique is most popular in applications such as telephony, HAM radio, and HF communications, i.e., voice-based communications. This example shows how to implement SSB Modulation using a Hilbert Transformer.

Hint: think Single-Side(B)and: Hil(B)ert

— serif

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Which of the following filters would be the best choice for use in a 2 meter repeater duplexer?

  • A crystal filter
  • Correct Answer
    A cavity filter
  • A DSP filter
  • An L-C filter

A cavity filter is the best choice for use in a 2 meter repeater duplexer because it has a very high Q, can handle high power and is mostly stable to temperature changes. It provides a "steep" notch to only pass the band of interest with little loss.

The other answers given are worse choices because:

LC filters suffer from less than ideal L and C behaviors of their components.

Crystal filters typically cannot handle higher power.

DSP filters are not ideal because they would require analog-to-digital conversion which limits the power and requires regeneration of the signal (at a high power) after processing. Remember, DSP means digital signal processing, and a high power signal must be converted to low power digital then regenerated to be passed through DSP. A DSP filter would waste a lot of power and require more circuitry. They are mostly used when you start with a weak signal, then process it before sending it to a power amplifier.

https://www.amateur-radio-wiki.net/what-is-a-cavity-filter/ has an explanation of cavity filters and their use in amateur radio applications.

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Which of the following is the common name for a filter network which is equivalent to two L networks connected back-to-back with the inductors in series and the capacitors in shunt at the input and output?

  • Pi-L
  • Cascode
  • Omega
  • Correct Answer
    Pi

Since a Pi network contains two capacitors in shunt at the input and output, and a series inductor, two L networks connected back-to-back would create that if the two inductor value are added together to create one inductor.

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Which of the following describes a Pi-L network used for matching a vacuum-tube final amplifier to a 50-ohm unbalanced output?

  • A Phase Inverter Load network
  • Correct Answer
    A Pi network with an additional series inductor on the output
  • A network with only three discrete parts
  • A matching network in which all components are isolated from ground

Hint:

Pi-L, L for inductance. So, its a Pi with an inductor.

Hint: It's the only answer that has "Pi" in it, which comes from the loose suggestion it looks like the Greek letter pi (π).

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What is one advantage of a Pi matching network over an L matching network consisting of a single inductor and a single capacitor?

  • Correct Answer
    The Q of Pi networks can be varied depending on the component values chosen
  • L networks cannot perform impedance transformation
  • Pi networks have fewer components
  • Pi networks are designed for balanced input and output
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Which of these modes is most affected by non-linear phase response in a receiver IF filter?

  • Meteor Scatter
  • Single-Sideband voice
  • Correct Answer
    Digital
  • Video
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