The Signal Path of Virtue

What if money doesn’t really come into it? What if a ‘virtuous’ system could be built from ordinary components connected together in a sensible way?

One such virtuous system, I would suggest, might comprise the following:

  • Digital source material (CD, FLAC, DVD etc.).
  • DSP-based crossover filtering and driver correction in both the frequency and time domains
  • Multichannel DAC (one DAC per driver)
  • Solid state amplification (one amp per driver)
  • Three-way box speakers that do not use bass reflex

On the face of it, this would reduce, or provide mechanisms to address, all of the problems listed in The Signal Path of Shame.

Such systems are still quite rare. Those that exist often elicit superlatives from those that hear them, but compared to the visual appeal of valves and vinyl, a black box of DSP holds little appeal for audiophiles.

Taking the various elements one by one:

Digital Source

Unlike various ‘legacy’ analogue sources, the digital audio system stores the signal in the same way that we would store documents or images in a computer: as numbers. Unlike those systems, however, it reconstitutes the stored data using an extremely accurate curve-fitting system which includes an analogue element at the lowest level – to create a continuous output waveform.

Many myths abound, and even technically literate people fail to understand that the system is fundamentally perfect, even down to the lowest levels. Dither is an integral part of the system; there isn’t a horrible distorted waveform lurking down in the lower few bits of resolution – merely the signal with added ‘hiss’, like tape hiss but far lower in relative level. The only questions are: how much hiss can we tolerate, and what are the highest frequencies we wish to reproduce? No one has yet shown that CD doesn’t actually meet all requirements of human hearing. Higher resolutions and sample rates are available, but amplifiers and speakers are generally not capable of reproducing frequencies much higher than CD anyway – and can distort in audible ways if asked to.

DSP for Crossovers and Driver Correction

This is all part of the simple concept of wishing to reproduce the signal unchanged in the sound pressure variations that emanate from the speakers. This basically requires a diaphragm or “piston” to accelerate in proportion to the amplitude of the recorded signal.

In practice, we find we need to combine the outputs of several pistons of different sizes because a single driver cannot reproduce extremes of low and high frequencies simultaneously without problems. If the drive units are close enough together and producing suitable signals, their outputs will sum acoustically to create the effect of a single piston.

The conventional solution of using passive crossover filters is fundamentally imprecise, even if they are made of NASA-grade materials. With DSP, several problems are ‘mopped up’ in one go, and the basic system can be seen as:

  1. Measure the outputs of the individual drivers using test signals.
  2. Program the signal processing to make the necessary compensations to make the drivers neutral.
  3. Decide on crossover frequencies and slopes (on the basis of optimising the crossovers for the drivers’ frequency capabilities).
  4. Adjust driver levels for best match at listening position.
  5. Add ‘baffle step compensation’ to flatten subjective frequency response at listening position. This can be a calculated curve whose depth only is set dependent on the room furnishings. A speaker with perfect dispersion would not need this compensation.

At its simplest, DSP can give extremely accurate versions of conventional crossover filters. These do not guarantee to give you the acoustic response you desire, however, because the individual drivers impose their own frequency and phase responses.

The next step up is to produce filters that cannot be built from conventional analogue means. These can, for example, be linear phase, meaning that they do not distort the transient response of the system, and may effectively need to see into the future. This is achieved by adding an overall delay or latency into the system.

Beyond that comes driver correction, which is usually restricted to corrections of the phase, frequency and time responses of the drivers so that their acoustic outputs are rendered genuinely ‘flat’ and phase neutral. DSP cannot influence the dispersion characteristics of a single driver in combination with its baffle – a diaphragm of finite size will always ‘beam’ as frequency rises – but DSP can influence the overall dispersion of the sum of multiple drivers through the slopes of the crossovers between drivers and at what frequencies they occur. (Also see ‘Three-Way Box Speakers’ below)

A very interesting next step may be nonlinear driver correction, where we get even closer to a completely neutral system, but this is not commonly done – yet. However, in some speakers, bass drivers are already corrected for distortion using feedback of cone motion.

Multichannel DAC

For an active DSP system we need to reproduce multiple channels simultaneously: one per driver. A multichannel DAC is just like a conventional stereo DAC but with more outputs. Samples are passed to it in “frames”, with samples for all drivers reproduced simultaneously and locked together to the same sample clock. Such devices are commonplace and cheap, usually running from USB or some other digital interface.

A distinction is made between isochronous and asynchronous interfaces. Only asynchronous DACs can be said to be truly free of jitter caused by multiple clocks in the system and cable effects – but this is a theoretical fact rather than something audible (unless there is something very seriously wrong in the implementation). However, it makes sense to use asynchronous DACs in domestic hi-fi systems – because we can.

Solid State Amplification

Solid state amplifiers have been available for several decades but, amazingly, are not universal – some people still use valves.

Various topologies of solid state amps exist, and most have the possibility of low distortion and low output impedance. For an active system we need one amp per driver. A relatively recent development is Class D amplifiers that are very compact and efficient, making active systems more practical and attractive.

Three-Way Box Speakers

This is just one of several possible options but, for all its simplicity, has many advantages.

The chief areas of interest are:

  • power handling
  • distortion
  • ‘correctability’
  • acoustic interaction with room and listener

An active system with more than two ‘ways’ already gives us advantages for the first three items. The last item is the one where speaker design deviates from a simple engineering problem because of the issues of dispersion and directivity.

Box speakers are ‘in between’ the directivity of omni-directional speakers and highly focused, directional speakers and seem to be a good compromise in the average room. Too ‘omni’ makes the sound too diffuse, while too focused creates a very confined ‘sweet spot’ and, depending on the technology used to create the directional characteristic, can sound artificial and inconsistent with the room.

Dispersion could be described as the directivity of the speaker at different frequencies. The ideal dispersion would be equal directivity at all frequencies, so that reverberation is derived from the same characteristic as the direct sound.

A three-way speaker will automatically have better dispersion characteristics than a two-way due to the effect of driver ‘beaming’ that occurs with large drivers being asked to reproduce high frequencies (multiple paths from different parts of the cone cancel each other out in mid air due to delays). A mid range driver can take over from the woofer before beaming becomes pronounced.

A wider box speaker (such as a 1970s ‘monkey coffin’) gives closer to the ideal dispersion pattern than a narrow speaker, because the baffle is able to direct the sound forwards at lower frequencies. However, this effect ‘runs out’ at some point as frequency goes down, and the bass turns ‘omni’. Some modern speakers such as the Kii Three and Dutch & Dutch 8c seek to create a virtual large baffle using DSP, extra drivers and other techniques in order to maintain the directivity to lower frequencies.

Last edited: 16/04/18


6 thoughts on “The Signal Path of Virtue

  1. You’re lucky to have a nice big room to reproduce all those symphonies. My room is 11×10. I had to put my 3-ways in storage when I moved in and opt for something smaller. Sill have all my digital and solid state stuff though. I’m 2/3 virtuous!


    1. I may be trying my speakers out in a smaller room at some time, and it’s my intention to add a user-definable roll-off at the bottom end which should, in theory be able to simulate a smaller speaker (or a bigger one – to some extent). I just need to modify the existing roll-off to give the same 12dB per octave (or whatever I choose) and an adjustable corner frequency. Other people might favour measurements and room correction for this, but I think I prefer something simpler. The aim, of course, is to utilise (or at least live with) ‘room gain’.


  2. I agree with your path of virtue and have heard the superiority of this approach. My question is regarding DSP filters to correct a speaker with a passive crossover (i.e. one amplifier per channel) compared to correction and crossover filters for an active approach. I understand the benefits of an active approach from power handling, higher damping, choice over crossover frequency/slope etc. But does the measurement/correction for a passive speaker effectively include correction for the reduced damping provided by an(y) amplifier, and consequently correct it, thereby reducing the benefits of an active crossover approach? Surely the impulse response used to create the filter includes any amp damping effect? In other words can DSP correction turn a valve amp into a solid state amp (figuratively in terms of the ultimate frequency response)?


    1. I think you are right that the impulse response-based correction will neutralise the frequency/phase anomalies caused by the lack of damping, but I believe there are other problems that can only be reduced by direct connection to the amplifier. Direct connection will reduce distortion from various causes, for example, so I don’t think it is possible to fully turn a valve amp into solid state (which you were not implying, anyway).

      As you may realise, my approach to the subject is very narrow: any system I am going to be buying (or building) for serious listening is going to be active with the drivers connected directly to solid state amps. One of the mysteries of audio, for me, is that anyone would do it differently!


  3. Do you advocate for the same degree of DSP processing in the case of speakers that are designed to be time and phase correct, like Vandersteen’s?


    1. Looking in their FAQs, I see they are saying what I would regard as all the right things regarding phase and timing – and they also point out that the audio world has ignored these aspects until now. I think their technique is to use shallow crossovers and not to skimp on the number of ways. I assume DSP wouldn’t do much to improve them. However, if they were active as well as using DSP, maybe they would sound even better for reasons of damping etc..?


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