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Audio Acoustics

in Small Rooms

By Earl R. Geddes GedLee LLC

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My Background

• My PhD. thesis was on the modal response of small non-rectangular rooms

– Conclusions:

• The first mode was independent on room shape – depended only on volume

• Concluded that room shape had little effect, except in cases of extreme symmetry

• Distribution of absorption was far more important in the more symmetrical shapes – shape did help to distribute the damping evenly among the modes. • Only damping can help the smoothness of the LF

(3)

Conclusions Con’t

• With damping comes loss of LF energy

• Above Fs, damping has no modal effect

• These conclusions have significant implications to LF in small rooms

1) substantial LF damping is required for good LF response smoothness

2) the damping must be well distributed

(4)

The small room problem

• Small rooms have two/three regions of importance that need to be attended to.

1) The LF modal region

• Modes are discrete

• Free waves are not permitted

2) Above Fs (Schroeder frequency)

• Modes are irrelevant

• Waves propagate freely – geometrically

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The small room problem

• There is no reason to believe that these three regions will have the same characteristics,

problems or solutions

• What works in one region may be completely wrong in another

• Hence, these regions must be approached

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The small room problem

• The goal is to produce at the listeners

position a perceived playback of a sound source that is optimized for imaging,

timbre (coloration) and spaciousness

– Basically the same things that a large room is designed for

(7)

Psychoacoustic Fundamentals

• The perception of image location is

dominated by frequencies in the range of 1kHz – 8 kHz in the Auditory System (AS), with a greater emphasis on the middle of this range (See Blauert)

• If good imaging is desired then this range must be relatively free from frequency

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Psychoacoustic Fundamentals

• Recent work (to be published) has shown that diffraction and very early reflections (< 1 ms.) are far more perceptively

important than a spectral analysis of their effects would indicate

• This is hypothesized to be due to the

(9)

Psychoacoustic Fundamentals

• If this hypothesis is true (the data indicates that it is) then it is also suspected that these diffraction effects would be level dependent • Hence, while the diffraction is linear in a

mathematical sense, its perception may be highly nonlinear

• To a listener, this diffraction might appear to be nonlinear distortion since it becomes

(10)

Psychoacoustic Fundamentals

• This hypothesis is completely consistent with another study (AES) that showed that perceptually nonlinear distortion in

compression drivers is virtually nonexistent • Yet it seems to be common knowledge

than horns sound worse at higher levels than lower levels

• Horns add only very low orders of

(11)

Implications

• It then appears that it is not only critical that the room not have early reflections, but it is just as important that the sources not have any near field diffraction from the cabinets, any waveguide devices, or

nearby structures

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More Psychoacoustics

• As stated before, at low frequencies, we need not be too concerned about

reflections, and probably diffraction and

we certainly need not be concerned about these problems down into the modal

(13)

Why Not?

• A simple solution would seem to be to just put sound absorbing material everywhere, or better yet just move outside!

– A non-reflection room is usually not found to be perceptually adequate – that’s because it lacks a very important acoustic property

known as spaciousness.

– Spaciousness occupies a large part of the

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Spaciousness

• To fully understand spaciousness we need to understand the concepts of direct and

reverberant fields.

• The direct field (not to be confused with the near field) is where the sound from the source

dominates over the reverberant sound.

– There is a 6 dB/octave falloff with distance

• The reverberant field is when the reverb dominates

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0.1 1.0 10.0 100.0 Distance from source

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Into the Recording

• The importance of spaciousness can be easily demonstrated

– tonight if time permits

– By moving closer and closer to speakers that are canted inward, the sound field becomes more and more dominated by the direct field – the direct to reverb ratio goes up.

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Into the Recording con’t

• Moving forward creates a subjective effect that I call “in the recording”

• Backward - “in the room”

• The former gives the subjective impression of “being there” – you are moved into the recorded space

• The later gives the impression that the

musicians have been transported into the room with you

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Spaciousness

• Clearly spaciousness does not just

happen, to have it or not have it requires some design considerations

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Sources and Spaciousness

• Clearly the first arrival sound should be nearly flat (a subtle HF roll-off is usually preferred) but definitely smooth

• What is not commonly attended to is that for spaciousness to occur there must be a

substantial reverberant field component at the seating location

• The reverberant field response in a reverberant room is dependent on the sources power

(20)

Sources and Spaciousness

• Very few loudspeakers have both a flat anechoic response and a flat power

response.

• That’s because it cannot be achieved with piston sources - a piston source does not have a flat power response when it has a flat anechoic response – it beams at HF

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Return to room acoustics

• Now lets consider the source placement in the room along with the sources directivity • All sources have negligible directivity at LF

and most have a directivity that varies with frequency throughout its operating range

– This means that the anechoic response and the power response cannot match

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(23)

Sources in rooms

• The omni source will have a multitude of early reflections while the directive source, if properly aimed, will have only a single

reflection (horizontal plane), which arrives at the ear opposite to the direct sound

from this source.

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Specification of Source

• The sources should have the following characteristics:

– They should be directive at < 90°

– They need to have off-axis responses that are flat as well as on-axis

– They need to have a flat power response for low coloration in a lively room (required for good spaciousness – to be discussed)

(25)

Specification of Source

• These criteria need not be carried to the very lowest

frequencies – i.e. below about 500 Hz – since imaging is not influenced and coloration effects are low

• Some increase in the LF power response would help to offset the well damped LF sound field.

• The loudspeaker therefore can, and should, widen in

directivity below about 500 Hz with no problems – this is a “no brainer”

• 1000 Hz. is a more workable starting point for this

transition and will probably not affect the imaging if the widening is down slowly.

• Above 1 kHz, especially 2-6 kHz, high directivity is

(26)

The

Summa

Loudspeaker

• The Gedlee Summa was specifically designed to meet these small room requirements

• It uses a waveguide for narrow directivity with constant coverage, but also contains an internal foam plug (patent pending) to help to control internal reflections and

(27)

Summa

Con’t

• The cabinet edges and the waveguide termination are all substantially rounded for an absolute minimum of cabinet and waveguide diffraction

• The freq. resp. is equalized (near) flat at

(28)

Summa

Con’t

• The polar response transition to a piston source is done precisely where the piston and waveguide match polar patterns. The waveguide is axi-symmetric to match the woofer. Polar response through crossover is flawless

• The cabinet is molded composite with very high internal damping and is internally

braced to be very rigid

(29)

Summa

100 1,000 10,000

Frequency 0

30 60 90

A

ng

le

(30)

1,000 10,000

(31)

Room Acoustics at LF

• The room dominates the LF situation where the source has little effect

• At LF there are two things that will improve the expected frequency and spatial

response.

– The first is to dampen the room as much as possible

(32)

LF Damping

• Providing LF damping is a daunting task, because we know that we want as little HF damping as we can get to lower the

direct/reverb ratio for better spaciousness. • Virtually all commercial sound absorbing

materials do exactly the wrong thing – lots of HF absorption, negligible LF absorption • The only effective solution is that the

(33)

Construction

(34)

LF smoothness

• Once the maximum amount of LF absorption has been utilized (and

hopefully the room is still live!) The only other thing that can be done is to use multiple subs.

• Since the Summa’s use 15” Pro

loudspeakers each one can handle lots of LF energy – that’s three

(35)

LF smoothness

• Studies have shown that the use of

multiple subs can substantially smooth out the LF sound field both in frequency and in space. The improvement goes as about

1/N, where N is the number of independent sources.

• Others studies claim that particular

(36)

Final analysis

• Finally, the following slides are in-room measurements of frequency responses • Remember that these are in-situ

(37)

100 1103 1104

10 Front 4 ms window

Frequency

Falloff due to measurement

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100 1103 1104

Falloff due to measurement

(39)

100 1103 1104

Falloff due to measurement

(40)

100 1103 1104

10 center 10 ms window

Frequency

Falloff due to measurement

(41)

100 1103 1104

Falloff due to measurement

(42)

100 1103 1104

10 Spatial averaged 1/3 oct ave

Frequency

Falloff due to measurement

(43)

Omni-source

move right right speaker

left speaker toe'd-in directional

source

move left

sound level at listeners position

right speaker

left speaker Median

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