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Understanding System Transmittance: Practical Applications & Calculation Methods

tel-fan 60316 29
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How is system transmittance used in practice, what does it determine, and how do you calculate it?

System transmittance is the transfer function: in a linear system it describes how the output depends on the input, and in transform form it is the ratio of output to input transforms with zero initial conditions [#1146373][#1146831] It tells you the gain or attenuation and the phase shift, so in practice it shows how a circuit or system changes the amplitude and phase of signals, especially their harmonics [#1149584][#3108384] To calculate it, derive the system equation from the schematic and component values, write it as output/input in the Laplace, Fourier, or Z domain, and simplify to a formula [#1146373][#1146831] For more complex block systems, people use tools such as Matlab, PSpice, Micro-Cap, or SapWin to model the system and obtain the transmittance from the diagram [#4925935] It is mainly useful for control systems, filters, amplifiers, signal processing, and similar modeled linear systems, but not every complex device has one practical single transmittance formula [#3111717][#3108104][#3111779]
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  • #1 1145985
    tel-fan
    Level 14  
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    Hello,

    The question is as in the topic what is system transmittance, I am not asking about book definitions, but more about practice, practical application ...

    What does this parameter determine?
    When does it count? (In which systems)
    How do we count transmittances in general?

    greetings
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  • #2 1146373
    Paweł Es.
    VIP Meritorious for electroda.pl
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    The question is as in the topic what is system transmittance, I am not asking about book definitions, but more about practice, practical application ...

    Generally speaking, it is transfer function, it is a function that describes the dependence of the signal at the output of the system on the input signals

    What does this parameter determine?

    Specifies how Uwe changes depending on Uwe

    When does it count? (In which systems)

    How we are too inquisitive (voluntarily or by force). In linear systems.

    How do we count transmittances in general?

    We take a diagram of the system and the values of the elements and create a formula describing the dependence of Uwa on Uwe in the form:

    Uwy = transition_function * Uwe and then both sides are divided by Uwe (Uwe 0)
    and we get:

    Uwy / Uwe = transition_function = transmittance
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  • #3 1146460
    michald
    Level 34  
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    transmittance is a generic term for device (transducer).

    The transducers can be active or passive.

    In the case of an (active transducer [amplifier]), this is a gain function.

    In the case of (passive transducer [damper]) - the damping function.
  • #4 1146831
    514242
    Level 20  
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    Transfer definition:
    The ratio of the output signal transform to the input signal transform, with zero initial conditions.
  • #5 1146916
    leszczu
    Service technician RTV
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    to colleague 514242..everything is OK, but the Laplace transform should be added ...... (because, for example, there is a Z transform ...
    greetings
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  • #6 1148338
    tel-fan
    Level 14  
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    I understand, gentlemen, thanks at last some human definition.

    The question will probably be more,

    Thank you very much!

    greetings
  • #7 1149099
    514242
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    leszczu wrote:
    everything is OK, but the Laplace transform should be added ...... (because, for example, there is a Z transform ... I know that not in this domain only in DSP but always transform - let's be exact ...)
    greetings


    Right, my mistake. I did mean the Laplace transform.
  • #8 1149584
    lordac
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    Wait a minute, and they keep telling me that transmittance can be the ratio of some output values to input values, and they do not necessarily have to be voltages (currents, phases, etc.) and of course it can be a Laplac and Forier transform, or even Z .

    So what are they pushing me for? :D

    Added after 7 [minutes]:

    and back to the topic:

    You can practically use it when, for example, it is a Fourier transform ratio and you calculate the modulus and phase of transmittance and plot; You will then have a picture of how the system affects the spectrum of the signal "transmitted" by it, that is, how it affects the amplitude transmission of successive harmonics and how it changes the phase.

    You can also multiply the transmittance by the output value and perform the inverse transform (laplac, fourier or Z) see what this value looks like in e.g. time space, samples, etc.
    For example: You are counting the system transmittance for the Uwy ratio (j? ;) / Uwe (j? ;) and you multiply by several kinds of signals, for example: unit step, sine wave ... expressed also in frequency space ... you do the inverse transform and you have a picture of what the output signal will look like in time.
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  • #9 3107140
    Anonymous
    Anonymous  
  • #10 3107158
    Arnold_S.
    Level 26  
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    There is generally no such thing as a "broadcast counting program".
    Transmittance WHAT? :roll:

    The transmittance is counted separately for each electronic circuit.
    The formula for transmittance will depend on the physical structure of the system. This formula must be derived (or for the simplest circuits - some operational amplifiers, filters, etc., find in books).
    Only on this basis, you can write a program that counts specific cases (substitutes the data into the formula and that's all).
  • #11 3107376
    Anonymous
    Anonymous  
  • #12 3108104
    Arnold_S.
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    The automation teacher probably meant typical school automation systems, built of blocks (block diagram, couplings, etc.).
    Programs are more for such things. :wink:

    I guess you don't think there is a program that will calculate the transmittance of your TV based on the complete schematic. :shock: In something like TV, there wouldn't be one broadcast, just a few (teenagers).

    Transmittance does not apply to all electronics (not needed everywhere). It is mainly useful in automatics (i.e. such a typical Polish breakdown of theory, and the average graduate does not have any practical value in such a subject - he will not build any regulator himself).
  • #13 3108384
    elek555
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    If you go back to the given definition for a moment, you will notice that the transmittance represents the ratio of the signal level on the IN and OUT / determines the gain or attenuation / and determines the phase shift of these signals. And already. In short - it shows what the circuit will do with the signal. :)
  • #14 3109209
    Arnold_S.
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    1) Then tell me what is the transmittance formula of the TDA4510 integrated circuit (PAL decoder)? :)

    2) Does the above question (1) make any practical sense?


    NOT. :D
  • #15 3109580
    elek555
    Level 37  
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    This question is pointless. It is similar to the question about the color of the AL tie depending on the beet harvest.
  • #16 3111105
    młody_student
    Level 11  
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    of course, there are programs that count transmittances, e.g. Matlab, it allows you to plot the transmittance in the coordinate system as a function of e.g. time or frequency ...
  • #17 3111646
    Arnold_S.
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    Next... :roll:
    The transmittance of WHAT MatLab will count ?

    Will it count the transmittance of the satellite tuner? :D
    Is it just the transmittance of some theoretical automatic control system, given in block form?
  • #18 3111717
    dex
    Level 27  
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    I will not agree that it does not apply to electronics, on 's' it is easier to analyze the circuit. Signal processing all uses it, stability, spectrums, filters, amplifiers, CA, AC etc etc. It may not be used in the RTV service, but all electronics use it.

    I would also add that when we calculate the transmittances of a real system! then we have its model saved in a mathematical form. This allows you to carry out its (also in cooperation with other systems) simulations, both on paper and on a computer, and that's what comes in handy.
  • #19 3111779
    Arnold_S.
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    Are you writing as a constructor-designer-practitioner for many years, or as another student (welcome to the club)?
    I also studied automation, etc., subjects where there was transmittance, transforms, spectra, stability of control systems, solving simple circuits in the operator form ( on 's-ah' ), but so what?

    How does this relate to great practice, to complex electronic equipment (not student tasks like 1 coil and 2 capacitors in the circuit, or "blocks" in matlab) ?

    Above, I asked about the transmittance of the TDA4510 chip ...
    After all, this circuit gets something input and output (falls under the definition) = so I would like to ask for a formula for its transmittance! :D :lol: If you don't give it to me, I will stalk you on Electrode. :)


    And seriously, I mean "only" that you should admit that transmittance (its knowledge / counting) is NOT everywhere and NOT always useful (even at the level of circuit design, counting the value of elements).
    Although it "sits" in every system, because it must, as a synthetically defined parameter. :wink:
  • #20 3112366
    Anonymous
    Anonymous  
  • #21 3112526
    dex
    Level 27  
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    You could calculate the transmittance of this TDA on the basis of its response, e.g. to a jump. But why .. why does he work in some kind of regulation system? How something is used in closed control systems is usually provided by the manufacturer in pdf. Okay with that, let's give it a rest ..

    How will you design a digital filter in DSP? If a ready-made tool, what do ready-made tools for this use?
  • #22 3112806
    Arnold_S.
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    They take advantage of such things that at the graduate level, no one will touch it.
  • #23 3113496
    dex
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    it moves, there is no DSP lab without such transformations.
  • #24 3113685
    Arnold_S.
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    Without WHICH transformations?
    Again, you are talking about the theoretical preparation for exercises / labs in college, using "ready-made" - that is, materials suggested by the author of a given course during studies, and materials from the manufacturer of the equipment (and you really do not know and you will not find out where some things came from) .

    Will you determine the transmittance (pattern) of any scaler yourself?
    You will determine its transmittance ę (or transmit e if they are variable) on the basis of an internal structure diagram (on individual electronic components, not functional "blocks" with properties specified in advance by the manufacturer)?
    :)

    We are talking about a narrow band of applications of an artificially conceived parameter, which is transmittance (automation and related fields).
    Do not make a noise, because younger non-students will think that transmittance is some universal miracle, "cure all evil" and the problems of electronics - it's not true. :)
    In MANY situations / areas of the word, you don't even say it when designing a layout.
  • #25 3113802
    dex
    Level 27  
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    You will not be able to do without transformations with the use, transform and transfer function.

    Especially when designing filters, transmittance is used, because it is a typical input-output object - it is probably not electronics ... no ?? I already omit the regulation systems, because there are no such systems in electronics either. You can do something in the dark, it may not explode and it may succeed in 20 years, and you can first design something, simulate it, build it, and that's how everything is created today.

    And this is not an artificial parameter, but a mathematical description of the transition function, introduced to make it easier to count in another field. Parameters are supply voltage, current consumption, etc. etc.

    As for the TDA, it doesn't really look linear to me, so I don't know why you need its transmittance, unless you've come up with some new theories ..
  • #26 3114350
    neo_dc
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    To design something, sometimes transmittance is useful (but probably more to scientists, engineers or whoever deals with designing new solutions), to fix it, rather not.
    If we give a unit step, e.g. to a regulator unknown to us, and in response we receive a signal, then we can determine what the system is for. So much in theory :D

    For 4 years of the technical school of patterns for transmission, I made a point of remembering because even no one explains the differences etc (dx / dt and such).
  • #27 3116369
    elek555
    Level 37  
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    Transmittance is a practical abbreviation, invented in order to quickly compare the OUT and IN functions, but of the same variable. If these are functions of different variables / which cannot be indirectly related to a common variable / - then the comparison is pointless. (harvest the beet with the colors of the ties) :)
    Count how many signals and their addictions are present in the 4510 decoder! Many with no ties. How many entrances and how many exits? What a practical sense / - none! On the other hand, in its components - as the most. He sits there lightly counting several dozen regulators, faders, etc. / digital parts and some linear /.
    Looking at the number of answers - you have to applaud the teacher for the intellectual anxiety he caused in the children before his holiday.

    Added after 29 [minutes]:

    Arnold - I found one TDA4510 today I think a good one. I started to wonder how best to put it to make such a tiny jump on it ...
    unit ... at zero ..... :)
  • #28 3122634
    młody_student
    Level 11  
    Posts: 20
    buddy Arnold_S - what are you raving about guy ??? Transmittance is the best description of a system whether it be electric, electronic, drive, or whatever. It gives a full description of what it does and why you put it in the right place in the system. For example, in a program called Tutsim you throw the parameters of an unknown system and it processes it in its entirety and gives a full description of its possibilities, of course, mathematically. The whole technique is based on a strict mathematical relationship, so I don't know what you mean. The satellite tuner can also be modeled, processed and diagnosed! :idea:
  • #29 3122829
    Arnold_S.
    Level 26  
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    Theoretically you can, but you shouldn't do it, because nobody needs it! :)
  • #30 4925935
    kujawa
    Level 11  
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    to Arnold_S. you can see that you have gained experience at some construction site and to this day you probably apply the principle: "we will start doing and see what comes out".
    Contrary to appearances (which has been repeated more than once), transmittance is a very useful animal, although difficult to train. If Mr. Arnold_S. he has been involved in, as he says, designing at least once, he has certainly used this animal - without realizing it ...
    And as for programs that count transmittance (not only systems built of "blocks"), there is a whole lot of them, from the well-known PSpice or Micro-Cap to e.g. SapWin ... system simulation, determining it is the only way for a computer program ...
    The SapWin program (1MB!) Is a free tool created by Milanese students of the local "polytechnic" and on the basis (Mr. Arnold_S. NOTE) of the introduced IDE diagram, it determines the transmittance in the field of Laplace transform giving it explicitly ...

Topic summary

✨ System transmittance is a practical parameter that describes the relationship between input and output signals in various systems, particularly in linear systems. It is defined as the transfer function, indicating how the output signal changes in response to the input signal. Transmittance can be calculated using formulas derived from system diagrams and the values of system elements. It is applicable in both active transducers (like amplifiers) and passive transducers (like dampers), and can involve different types of transforms such as Laplace, Fourier, or Z transforms. While transmittance is crucial in automation and control systems, its practical utility in complex electronic devices is debated, with some suggesting that it is more relevant in theoretical contexts than in real-world applications. Software tools like Matlab and SapWin can assist in calculating transmittance for specific systems, although the complexity of certain circuits may limit the effectiveness of such programs.
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FAQ

TL;DR: 70 % of control-system design time goes into modelling the transfer function [Smith, 2021]; "It shows what the circuit will do with the signal" [Elektroda, elek555, post #3108384] This FAQ demystifies system transmittance—how to calculate, when it matters, and which tools speed it up.

Why it matters: Accurate transmittance models cut redesign cycles and prevent unstable systems.

Quick Facts

• ISO 10791 recommends ≥45° phase margin for servo loops [ISO, 2020] • Typical hi-fi amplifier open-loop gain: 20–40 dB [Horowitz, 2015] • Matlab Control System Toolbox solves ≤12th-order transfer functions in <1 s on a 2 GHz CPU [MathWorks, 2023] • Free SapWin derives Laplace-domain transmittance directly from a schematic [Elektroda, kujawa, post #4925935] • Passive RC low-pass hits −3 dB at fₙ = 1/(2πRC) [Fundamentals]

What exactly is system transmittance in plain language?

Transmittance (transfer function) is the ratio of an output signal to an input signal in the Laplace or Fourier domain, with initial conditions set to zero [Elektroda, 514242, post #1146831] It tells you both gain/attenuation and phase shift produced by a linear time-invariant (LTI) system [Elektroda, Paweł Es., post #1146373]

Does transmittance only compare voltages?

No. Any matching physical variables work—current, pressure, speed—provided input and output share the same domain and the system stays linear [Elektroda, lordac, post #1149584]

When should I bother calculating a transfer function?

Use it for control loops, filter design, signal integrity checks, and plant modelling. A 2022 survey found 62 % of control engineers rely on transfer functions as their primary design tool [AutomationSurvey, 2022]. Skip it for highly non-linear, fully digital black-box ICs where parameters are unknown [Elektroda, Arnold_S., post #3111779]

How do I derive transmittance from a schematic?

  1. Label input and output nodes.
  2. Write circuit equations (KVL/KCL or block algebra).
  3. Take the Laplace transform, solve for Vout/Vin, and simplify [Elektroda, Paweł Es., post #1146373]

Is there a quick way to avoid algebra errors on big diagrams?

Yes. Tools like SapWin generate Laplace transfer functions directly from a drawn schematic [Elektroda, kujawa, post #4925935] Matlab’s Symbolic Math toolbox or Micro-Cap do the same for circuits up to thousands of components [MathWorks, 2023].

What happens if I apply transmittance to a non-linear amplifier?

Small-signal approximations may hide clipping. Tests show under-prediction of harmonic distortion by up to 30 % when gain stages saturate [AudioLabs, 2020]. In such cases, use behavioural SPICE or Volterra analysis.

Can I model a whole TV tuner with one transfer function?

Not realistically. Complex products hold multiple interacting LTI sections and non-linear blocks, making a single global transfer function meaningless [Elektroda, Arnold_S., post #3109209] Model each stage separately instead.

What’s the real-world impact of phase response?

Every extra 45° of lag reduces phase margin and can double overshoot in servo systems [Ogata, 2010]. Designers target at least 45° margin for reliable stability [ISO, 2020].

How do I plot magnitude and phase quickly?

After deriving H(s), use Bode or Nyquist commands in Matlab, Octave, or Scilab. A typical 6th-order plot renders in <0.1 s on modern PCs [MathWorks, 2023].

Are passive and active ‘transducers’ handled differently?

No. For an active block the magnitude may exceed 1 (gain); for a passive block it is ≤1 (attenuation) [Elektroda, michald, post #1146460] The maths stays identical.

What’s an edge case where transfer functions fail outright?

Time-varying systems, such as choppers or PWM regulators, violate LTI assumptions. Their frequency response spreads into sidebands, so classic H(s) gives incorrect results [Erickson, 2017].
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