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High performance 10STEREO GRAPHIC EQU
This stereo graphic equaliser is very compact and quite cheap to build.
However, it has the performance to match full-blown commercial models
which are far more expensive. As well, it can be used in a wide range of
applications from AC or DC supplies.
I
t is a very long time since a graphic equaliser has been published in
SILICON CHIP – way back in 1989, in
fact. The Studio Series 32-Band mono
equaliser appeared in March and April
1989 and the Studio Series 20-band
stereo equaliser in August and September 1989.
Both these designs have been unob18 Silicon Chip
tainable for many years and we have
not thought to revise them because of
the high cost of the rack-mounting chassis and the multi-slotted screen printed
and black anodised front panels which
are really too expensive to make such
a project economically viable.
This new graphic equaliser was
prompted by a reader’s suggestion to
revise our 3-band Parametric Equaliser
from the July 1996 issue, since the kit
for that project has also now been discontinued. However, when we looked
at updating the design we were also
conscious that parametric equalisers
can be quite confusing to use – you
never quite know how to vary the controls to obtain a desired effect.
siliconchip.com.au
Performance of prototype
Gain:............................................................Unity
Input signal with no clipping at max boost:.....up to 2.3V RMS
Maximum input signal with flat response: ......up to 9.25V RMS; 4.5V RMS
with single 15V supply
Frequency reponse (flat): ..............................+0.25,-0.75dB
...............................................................10Hz-60kHz (see Fig.1)
Maximum boost: ..........................................±12dB (see Fig.1)
Signal-to-noise ratio: ...................................-96dB unweighted
with respect to 2V RMS
Total harmonic distortion plus noise: .............<0.002%, 20Hz-20kHz,
22kHz bandwidth;
typically 0.0016% (see Fig.2)
Channel separation: .....................................>-60dB 20Hz-20kHz,
90dB <at> 1kHz (see Fig.3)
Input impedance: .........................................100kΩ || 100pF
Output impedance:........................................470Ω
Supply current: ............................................55mA typical; 110mA maximum
-Octave
UALISER
By JOHN CLARKE
By comparison, graphic equalisers
are much more intuitive – you can
see which bands you are boosting or
cutting and it is quite easy to repeat
the settings after a particular listening or recording session. Used carefully, a graphic equaliser can make a
considerable improvement to overall
sound quality.
siliconchip.com.au
It is able to smooth out the frequency response of the reproduced sound,
cure peaks, dips or lumps in a loudspeaker’s response or simply subtly
change the program’s tonal quality to
your liking.
This 10-octave unit uses an individual slider potentiometer for each octave, giving you far more detailed control than is possible with simple bass
and treble controls. And of course, the
settings of the slider potentiometers
provide a visual graph of the equaliser adjustments with the centre position providing a flat response in the
respective octave, ie, no cut or boost.
A slider adjusted above centre shows
the level of boost and a slider below
centre shows the level of cut. This is
why it is called a “graphic” equaliser.
Compact design
Our new 10-Octave Graphic Equaliser is very compact and can be used
as a stand-alone unit or incorporated
into existing equipment.
So having decided to produce a new
design for a graphic equaliser, we had
to concentrate on the problem of reducing the cost, particularly that of the
metalwork, the large and complicated
PCB with all those op amps and gyrator components, and finally all those
expensive slider controls. Yesteryear’s
approach was not going to work.
The slider control was an easy
choice, even though it is a bit of compromise. Compact ganged sliders with
a 45mm travel and a centre detent are
now readily available at low cost and
their plastic actuators mean that multiple knobs are not needed. By using
ganged sliders, we have been able to
drastically reduce the cost and the size
of the PCB.
So what was the compromise? The
sliders we have selected are linear
types with a value of 10kΩ and a centre detent. However, for the best noise
and distortion performance we would
have preferred a value of 50kΩ. Further, we would have also preferred
sliders with a 4BM taper instead of a
linear resistance characteristic.
The 4BM taper, as used in our 1989
designs (specially sourced by Jaycar
Electronics at the time), has a log/antilog resistance taper; log in one direction, antilog in the other.
If we had gone to the trouble of
sourcing special 50kΩ 4BM slider pots,
though, the final design would have
been very expensive to build.
Suffice to say that we have been able
to get the performance up to or better
than CD standard, so the compromise
is quite satisfactory.
Naturally, we are using a doublesided, plated-through PCB with the
10 ganged sliders on one side and all
rest of the components on the other
side (pretty closely packed).
However, it is not a hard board to
assemble. First, most of the resistors
and some of the capacitors (all with a
value of 100nF, used as supply bypass
June 2017 19
capacitors) are reasonably sized (easy
to solder!) surface-mount components.
The rest of the components are easy to
solder through-hole types.
Furthermore, all the SMD resistors
are clearly labelled with their values;
OK, you will need keen eye-sight, a
magnifying glass or spectacles! And
the SMD capacitors all have the same
100nF capacitance so you don’t need
to worry about identifying those.
All the rest of the capacitors are
normally-sized MKT polyesters. There
are 13 low-noise LM833 op amps and
again, to keep the PCB size in bounds,
we have used surface-mount types.
However, they have a pin spacing of
1.27mm so they are quite straightforward to mount in place.
So the combination of 10 ganged
sliders and a double-sided PCB with a
mixture of surface-mount and throughhole components results in a compact
assembly and avoids a large, expensive PCB.
But what about the problem of the
expensive metalwork and a precision
machined, screen-printed front panel
Fig.1: the green curve shows the frequency with all controls set to the centre
position, giving a ruler flat response which is only 1dB down at 10Hz and
100kHz. The red and mauve curves show the response with all sliders in the
maximum boost setting and all in the maximum cut setting. Finally, two blue
curves show the sliders alternately set for maximum boost and cut and these
show the effective octave width of each band.
CON1
(CON3)
LEFT
INPUT
(RIGHT
INPUT)
IC11a
(IC12a)
L1 (L2)
470nF
FERRITE
BEAD
1k
100k
3
2
100pF
100nF
8
2.7k
1
LM833
2
4
100pF
V+
V+
(NOTE: SIGNAL CIRCUITRY SHOWN ONLY FOR LEFT CHANNEL;
COMPONENTS FOR RIGHT CHANNEL SHOWN IN BRACKETS)
820nF
1 F
680
V+
220nF
3(5)
2(6)
3(5)
2(6)
SC
IC1a (IC1b)
31.25Hz
1(7)
2(6)
IC2a (IC2b)
62.5Hz
1(7)
2(6)
IC3a (IC3b)
125Hz
V+
3(5)
8
1(7)
LM833
2(6)
8
1(7)
LM833
4
V–
V–
82k
680
15nF
4
V–
91k
V+
3(5)
8
LM833
100nF
680
33nF
4
V–
100k
V+
3(5)
8
LM833
220nF
680
68nF
4
V–
20 1 7
V+
1(7)
4
110k
680
100nF
8
LM833
390nF
CUT
CUT
CUT
CUT
CUT
680nF
VR5
10k
VR4
10k
VR3
10k
VR2
10k
VR1
10k
100nF
BOOST
BOOST
BOOST
V+
V+
100nF
100nF
100nF
BOOST
BOOST
10 x 100nF
CERAMIC CAPS
(ONE BETWEEN
PINS 8 & 4 OF
IC1 – IC10)
IC4a (IC4b)
250Hz
100k
IC5a (IC5b)
500Hz
10-OCTAVE STEREO GRAPHIC EQUALISER
20 Silicon Chip
siliconchip.com.au
1
Graphic Equaliser THD+N vs Frequency
02/05/17 14:57:15
0
0.5
Graphic Equaliser Channel Separation
02/05/17 15:14:25
-10
0.2
20Hz-22kHz bandwidth
20Hz-80kHz bandwidth
Signal coupled from left to right
Signal coupled from right to left
-20
-30
0.05
Relative Amplitude (dbR)
Total Harmonic Distortion (%)
0.1
0.02
0.01
.005
.002
-40
-50
-60
-70
.001
-80
.0005
-90
.0002
.0001
20
50
100
200
500
1k
2k
5k
10k
-100
20
20k
50
100
200
500
Frequency (Hz)
1k
2k
5k
10k
20k
Frequency (Hz)
Fig.2: the harmonic distortion performance is limited by the
residual noise “floor” of the crucial gain stage in the circuit.
The actual harmonic distortion is much lower.
with all those slots?
Well, we have dispensed with metal-work altogether!
The front panel is a black screenprinted PCB with precision milled
slots – it looks great. And following
Fig.3: the channel separation of the graphic equaliser
and the two curves show that the separation between the
channels is almost perfectly symmetrical.
our recent practice with smaller projects, the case is made of black acrylic which slots together very easily. It
looks neat and can be used as a freestanding unit or as part of a larger installation.
If you decide to build the Graphic
Equaliser into a larger piece of equipment such as an amplifier or recording
console, you probably don’t need the
acrylic case. You can simply mount the
unit in a rectangular cut-out, with the
V+
IC11b
(IC12b)
1 F
5
6
LM833
2
CON2
(CON4)
470
7
LEFT
OUTPUT
(RIGHT
OUTPUT)
1 F
1nF
1M
2.7k
8
10
4
1
100pF
10
V–
22nF
680
V+
10nF
3(5)
2(6)
3(5)
8
1(7)
LM833
2(6)
1(7)
2(6)
IC6a (IC6b)
1kHz
91k
IC7a (IC7b)
2kHz
3(5)
8
1(7)
LM833
2(6)
IC8a (IC8b)
4kHz
V+
3(5)
8
1(7)
LM833
2(6)
8
LM833
1(7)
4
V–
V–
82k
680
680pF
4
V–
110k
V+
1nF
4
V–
V–
V+
3(5)
8
LM833
3.3nF
680
680
2.2nF
4
4
82k
V+
4.7nF
6.8nF
10nF
680
CUT
CUT
CUT
CUT
CUT
47nF
VR10
10k
VR9
10k
VR8
10k
VR7
10k
VR6
10k
BOOST
BOOST
BOOST
BOOST
BOOST
IC9a (IC9b)
8kHz
62k
IC10a (IC10b)
16kHz
Fig.4: this circuit shows only the left channel – the right channel is identical apart from the IC numbers (shown in brackets).
siliconchip.com.au
June 2017 21
R2 680
Ic
IC11b (IC12b)
IN
2.7k
C2
Iout
Vin
5
7
From IC11a
(IC12a)
6
OUT
Vin
10k
2.7k
CUT
R1
Vout
Ic
BOOST
C1
GYRATOR
Fig.5: this is the circuit of a graphic equaliser
reduced to its basic essentials – with just one op
amp, one slider and one gyrator. But remember
that there are 10 sliders and 10 gyrators.
front panel PCB over the top.
All the components are on the one
PCB and there is no external wiring
apart from the supply leads from the
on-board connector. Even the RCA
input and output sockets are directly
soldered onto the PCB. What could
be simpler?
Typical applications
Our new Graphic Equaliser can be
connected to a stereo amplifier or receiver in several ways. First, it can be
connected in the “Tape Monitor” loop
that’s still provided on most amplifiers
and receivers.
Alternatively, the equaliser may be
connected between the preamplifier
and power amplifier. Some home theatre/stereo receivers include pre-out/in
connectors for this purpose.
If you only have a single sound
source that has line level output level (anywhere between 500mV and 2V
RMS) then the equaliser input can be
connected to that source output and
the equaliser output connected to the
amplifier input.
For sound reinforcement use, you
can connect the equaliser between
the sound mixer output and amplifier
input. In that case, connectors other
than the RCA types maybe required
and you may need to add a balanced
input and balanced output converter
on each channel. We published a suitable project to do this in June 2008.
See siliconchip.com.au/l/aacv
Power supply options
There are three supply options; you
22 Silicon Chip
Fig.6: each gyrator in the circuit
is essentially capacitor C2 and
the op amp and the two together
work as if they were an inductor.
The accompanying waveforms at
right shows how the current IOUT
lags VIN, just like it would for an
inductor.
can use a DC supply of around 1820V, a 15-16VAC plugpack supply or a
centre-tapped mains powered 30VAC
transformer (or equivalent supply rails
in a power amplifier, mixer desk etc).
Performance
The overall performance is summarised in a separate panel and a number of graphs. Fig.1 has a number of
coloured response curves. The green
curve shows the frequency with all
controls set to the centre position, giving a ruler flat response which is only
1dB down at 10Hz and 100kHz.
The red and mauve curves show the
response with all sliders in the maximum boost setting and all in the maximum cut setting. Finally, two blue
curves show the sliders alternately
set for maximum boost and cut and
these show the effective octave width
of each band.
Note that you would never use a
graphic equaliser in these extreme settings – the sound quality would be just
weird. Instead, you would normally
use comparatively small boost and cut
settings for the sliders.
For example, if your loudspeakers
are a touch too bright in the 4kHz region, you might apply a slight amount
of cut to the respective slider. You
could not do this with a normal treble
tone control because it would drastically impact the higher frequencies.
Or if you wanted to lift the bass response below 60Hz, you could apply
a significant amount of boost on the
31Hz band and get a much more subtle effect than would be possible with
Vout
Iout
a conventional bass control.
We stated that the overall performance was effectively CD-standard
and that is backed up by the figures
for signal-to-noise ratio and harmonic distortion. Fig.2 demonstrates that
the harmonic distortion performance
is limited by the residual noise “floor”
of the crucial gain stage in the circuit
(that of IC11b & IC12b).
In fact, the actual harmonic distortion is well below our quoted figure of
around .0016% (typical) but is masked
by the residual noise. Suffice to say
that the harmonic distortion of this
circuit is better than can be achieved
by CD and DVD players, so it will not
adversely affect the sound quality of
signals from such sources.
Finally, Fig.3 shows the channel
separation of the graphic equaliser and
the two curves show that the separation between the channels is almost
perfectly symmetrical.
Circuit details
Fig.4 shows the full circuit of the
left channel of the new 10-Octave Stereo Graphic Equaliser. The right channel is identical. The IC numbering
and pin numbers for the right channel are shown in brackets. We have
used dual low-noise/low-distortion
LM833 op amps throughout for high
performance.
Before going into the detail of the
circuit, let us discuss the operating
principles of a typical graphic equaliser.
The overall circuit is effectively an
input buffer amplifier, op amp IC11a,
siliconchip.com.au
Another view of the completed
10 Octave Stereo Graphic Equaliser in its
laser-cut black acrylic case. No knobs are used
– the actuators on the slider pots are quite sufficient.
followed by a non-inverting op amp
stage, IC11b, with the 10 slider potentiometers connected in parallel inside
its feedback network. Connected to the
wiper of each 10kΩ slide potentiometer is a series-resonant LC circuit; one
for each octave band.
Inevitably the story is much more
complicated than this because there
are no inductors in the tuned LC resonant circuits. Close tolerance, low
distortion inductors are very expensive and bulky, as well as being prone
to hum pickup.
Therefore all graphic equalisers designed over the last 50 years or thereabouts use gyrators which are an op
circuit which performs just like an
inductor and can be connected to a
capacitor to provide a series resonant
circuit.
Series-resonant circuit
So let’s break down the graphic
equaliser circuit to show just one op
amp and one 10kΩ slider and one
series-resonant circuit, as shown in
Fig.5. Remember that there are actually 10 resonant circuits but in order
to simplify matters, we will only consider one.
In the simplest case, the 10kΩ slider control is set to its centre setting.
In this condition, the op amp stage
has unity gain and a flat frequency
response and the series resonant circuit hanging off the wiper has no effect, because whatever its impedance
at a particular frequency, it affects the
signals at the inverting and non-inverting inputs (pins 5 and 6 here) equally.
siliconchip.com.au
When the slide pot is set to the
boost end, the negative feedback from
the output pin tends to be shunted to
ground by the low impedance of the
series tuned circuit at frequencies that
it is resonant.
Since its impedance is high at all
other frequencies, this means that
the feedback is only reduced over the
narrow band centred around the resonance of the series tuned network. So
frequencies in that band will be boosted while others will be unaffected.
When the slider is set to the other
extreme, to “cut”, the negative feedback is at a maximum and the series
tuned circuit actually tends to shunt
input signals in its resonant band to
ground. This results in a reduction of
gain for the frequencies at or near the
resonance of the series tuned network.
As you would expect, the amount
of boost or cut is proportional to the
slider settings, so intermediate settings
give an intermediate level of signal
boost or cut.
Note that the circuit of Fig.5 does not
show an inductor in the series resonant
circuit; it shows the equivalent component, a gyrator (mentioned above).
Gyrators explained
Fig.6 shows the circuit of a gyrator
made with an op amp. It effectively
transforms a capacitor into an inductor. In an inductor, the current lags the
voltage (ie, the current is delayed in
phase by 90°) while in a capacitor, the
voltage lags the current (by 90°), as it
charges or discharges.
Another way to explain this is that
if you apply a large voltage step across
a capacitor, a very high current flows
initially which tapers off as the capacitor charges up to the new voltage.
By comparison, if you apply a large
voltage step to an inductor, at first the
current flow remains the same as it was
before, while the inductor’s magnetic
field charges but over time the current
flow builds as the magnetic field density increases.
To understand how the gyrator circuit behaves like an inductor, consider
an AC signal source, VIN, connected
to the input of Fig.6. This causes a
current to flow through the capacitor
and through the associated resistor R1.
The voltage impressed across R1, as
a result of the capacitor current IC, is
fed to the op amp which is connected
as a voltage follower (buffer), as its
inverting input is connected directly
to its output.
The voltage at the output of the op
amp thus tracks the voltage across
R1. This then causes a current to flow
through resistor R2. This current,
IOUT, adds vectorially with the input
current IC and the resultant current
which flows from the source lags the
input voltage.
As far as the signal source is concerned, the gyrator “looks” like an inductor, not like an op amp with two
resistors and a capacitor connected
to it. The inductance is given by the
formula:
L = R1 x R2 x C2
where L is in Henries,
R is in ohms
and C is in Farads.
If you’re having trouble understanding how this works, consider again the
effect of a large voltage step at the input. Say the input rises suddenly by
1V. This is initially coupled through
C2 directly to the op amp and so its
output also rises by 1V, keeping the
voltage across R2 the same.
Thus the current flow from the input changes very little initially; it is
just the current to charge C2 which is
normally much smaller than that flowing through R2 (since it’s is normally
a much lower value than R1).
However, as C2 charges, the voltage
across R1 drops and so does the op
amp output voltage, causing the current flowing from the input, through
R2, to increase up to 1.5mA (1V÷680Ω)
higher than it was initially.
June 2017 23
REG1 7815
POWER
A
FUSE
S1
500mA?
~
CON5
15V
470 F
V+
LK1
GND
10 F
25V
CT
E
OUT
IN
BR1 W04
T1
47k
+
–
LK2
A
15V
470 F
~
N
IN
POWER SUPPLY CONFIGURATION WITH A CENTRE-TAPPED TRANSFORMER
10 F
GND
25V
LED1
LK3
K
OUT
REG2 7915
(OPEN)
V–
(IC13 NOT INSTALLED)
REG1 7815
AC PLUGPACK
~
CON5
~
~
OUT
IN
BR1 W04
POWER
S1
GND
470 F
V+
LK1
10 F
25V
47k
+
–
LK2
A
470 F
~
IN
POWER SUPPLY CONFIGURATION WITH AN AC PLUGPACK
10 F
GND
25V
LED1
LK3
K
OUT
REG2 7915
(OPEN)
V–
(IC13 NOT INSTALLED)
REG1 7815
IN
BR1 W04
POWER
S1
~
CON5
DC +
SUPPLY
IN –
470 F
OUT
(OPEN)
GND
10 F
25V
22k
10k
(OPEN)
+
–
V+
LK1
LK2
A
LED1
~
10k
LK3
K
POWER SUPPLY CONFIGURATION WITH A DC SUPPLY
V–
100nF
W04
– +
~~
78 1 5
LED
K
A
GND
IN
GND
7 91 5
OUT
IN
GND
IN
OUT
Fig.6: the three power supply variations, which allow you to operate from
a mains transformer with centre-tapped secondary (top), a plugpack or
similar mains transformer without a centre tap (centre) and a DC supply,
such as might be available in existing equipment (bottom). Note that while
a BR1 bridge rectifier is used (for convenience) in the two lower supplies
only some of its internal diodes are used (unused diodes greyed out) – you
could substitute 1N4004 diodes if you wish for those diodes used.
As described above, this behaviour
is very much the same as if an inductor
was connected instead of the gyrator.
Building a series resonant circuit
To make the tuned LC circuit shown
in Fig.5, all we need do is to connect
a capacitor in series with the input
to Fig.6. The result is a circuit with
a dip in its impedance around a specific frequency.
The “Q” of each gyrator is determined by ratio of R1 and R2. Note from
the formula above that if you double
the value of R1 and halve the value
24 Silicon Chip
of R2, the simulated inductance does
not change. The same is true for the
opposite, ie, halving the value of R1
and doubling the value of R2. But the
“Q” does change.
If you think about the resonant circuit’s impedance like an inverted bell
curve, the “Q” relates to the width of
the bell. So if you were to increase
the value of R2 and proportionally
decrease the value of R1, you would
reduce the “Q” and thus broaden the
bandwidth of the filter.
Note that there are limits to this. You
don’t want to make the value of R1 too
L CH
GND
100 1
3
8
IC13a
2
IC13: LM833
100
R CH
GND
5
7
IC13b
4
6
100 F
low or else the error current through it
could overwhelm the current through
R2 and the gyrator would no longer be
a very good simulation of an inductor.
You don’t want to make the value of
R2 too low either, as you will eventually reach a point where the op amp
is no longer able to drive such a low
load impedance and it will run into
current limiting.
And changing the value of R2 also
affects the minimum impedance of the
resonant circuit which may require
changes to other circuit components
to avoid reducing performance.
siliconchip.com.au
The value of series capacitor C1 also
controls the “Q”; you can change the
value of C1 without affecting the centre frequency as long as you change
the value of the simulated inductor so
that the product remains the same (by
changing any of R1, R2 or C2).
Higher values for C1 result in lower
“Q” and vice versa. However, adjusting the “Q” with R1 and R2 is generally easier.
The values in our circuit set the
bandwidth of each slider to approximately one octave. You can see the degree of overlap provided from the red
and mauve curves in Fig.1.
We could have provided more overlap by increasing the values of R2 in
our circuit, and reducing the R1 values (which differ for each band) proportionally, however this would also
increase the interaction between adjacent bands.
Back to the equaliser
So remember that we have one op
amp buffer stage IC11b, with 10 slider pots connected inside its feedback
loop. The wiper of each slider is connected to one of the series-tuned circuit described above. Each is tuned to
a frequency that is double that of the
last, to provide octave bands.
Refer to the main circuit diagram in
Fig.4. This shows just the left channel
of the stereo equaliser, with one gyrator
circuit repeated 10 times, with different values for R1, R2 and C2.
Looking at the top left-hand side
of the circuit, the input signal is applied to CON1 and passes through a
ferrite bead which acts like an inductance to attenuate any radio signals. A
470nF capacitor blocks any DC voltage while a 100kΩ resistor provides
a charging path for the that capacitor
and “grounds” the signal. An RC filter
comprising a 1kΩ resistor and 100pF
capacitor provides further high frequency filtering.
Op amp IC11a buffers the input signal, giving it a low impedance, for the
following equaliser circuitry comprising IC11b, the sliders (VR1-VR10), IC1IC10 plus associated components for
the gyrators.
The output signal of the graphic
equaliser appears at pin 7 of IC11b
and this is fed via a 470Ω resistor and
a 2µF DC blocking capacitor (using two
parallel 1µF capacitors) to the output
at CON2. The 1MΩ resistor to ground
sets the DC level for the output signal
siliconchip.com.au
Here’s a sneak peek at
the laser-cut acrylic
flatpack “case”
mentioned in the text
which significantly
reduces the cost of
building the Graphic
Equaliser – and adds
to the professional
appearance. The pieces
slot together to form a
very smart-looking case
in piano-finish black
with white marking.
We’ll show how this
goes together – and how
the PCB fits in place – in
part two next month.
while the 1nF capacitor shunts any
out-of-band high frequency noise to
ground.
The 470Ω resistor sets the output
impedance of the equaliser, while the
2µF output capacitor and 470nF input
capacitor set the low frequency -3dB
point of the entire circuit to about 4Hz.
Potentiometer value doesn’t
affect gain
One thing to note about the equaliser circuit which may not be obvious
is that if you changed the potentiometer resistances to another value, the
output level and frequency response
would not change but the noise performance might.
Imagine that all the slider pots are
centred for the moment and consider each tuned circuit as having a low
impedance (since white noise exists
over a wide range of frequencies). This
means that half of each slide pot is
effectively connected between pin 5 of
IC11b and ground (with a 10Ω resistance in series). The impedance of ten
5kΩ resistances in parallel is 500Ω;
add the 10Ω to get 510Ω.
This 510Ω forms a divider with the
2.7kΩ resistor at the output of IC11a,
providing a signal attenuation of 0.16
times (510Ω ÷ [2.7kΩ + 510Ω]). Now,
IC11b has a 2.7kΩ feedback resistor
and it also forms a divider with the
other half of all the slide pots in parallel, again 2.7kΩ/510Ω.
But because it’s in the feedback loop,
it provides gain, not attenuation; 6.3
times in fact.
Since 0.16 x 6.3 = 1.0, therefore, the
gain from input to output of the equaliser is unity. If you change the potentiometer values to say 50kΩ, then you
end up with an attenuation of 0.48
(2.5kΩ ÷ [2.7kΩ + 2.5kΩ]) and a gain
of 2.08 times (2.7kΩ ÷ 2.5kΩ + 1), again
giving 0.48 x 2.08 = 1.0. So the gain is
still unity.
So the lower the slide pot values,
the more the input signal is attenuated and the more gain is applied later
to compensate.
Unfortunately, though, that gain
also applies to any noise in the circuit.
Thus, 10kΩ pots result in three times
(6.3 ÷ 2.08) as much noise as if we were
using 50kΩ pots, or a degradation in
signal-to-noise ratio of around 9.5dB.
But as we said earlier, 50kΩ slide
pots with a centre detent are more
expensive and harder to get. As the
performance with 10kΩ pots is pretty
good, we feel that this is a reasonable
compromise.
Power supply options
As already noted, there are three
power supply options and these are
depicted in Fig.7.
You can use a centre tapped 30V
transformer, a 15-16VAC plugpack or
a DC supply of up to 20V. There are
two ground/earth connections shown
on the circuit with different symbols
for each.
One is the ground for the power supply, signal inputs and signal outputs.
The second is the ground reference signal for the op amp circuitry. The two
are connected directly together when
using a ±15V (AC-derived) supply. This
is shown in the dual supply section of
the circuit, where LK1 and LK2 connect the grounds together.
The power supply ground is connected to the centre tap of the transformer and is also the ground for both
REG1 and REG2. These regulators provide the +15V and -15V supply rails
and receive voltage from the full wave
rectifier (BR1) and the raw rectified DC
June 2017 25
Parts list – Graphic Equaliser
1 PCB coded 01105171, 198 x 76mm (SILICON CHIP online shop Cat SC4279)
1 front panel PCB 198 x 76mm (SILICON CHIP online shop Cat SC4280)
1 Acrylic case and hardware to suit (optional)
10 dual ganged 45mm travel 10k linear slider pots (VR1-VR10)
2 vertical PCB mount white RCA sockets (Altronics P0131) (CON1,CON2)
2 vertical PCB mount red RCA sockets (Altronics P0132) (CON3,CON4)
1 3-way PCB mount screw terminals with 5.08mm spacing (CON5)
2 5mm long ferrite RF suppression beads (L1,L2)
Semiconductors
12 LM833D SOIC-8 op amps (IC1-IC12)
1 5mm high brightness blue LED (LED1)
Capacitors (through hole 5.08mm pitch, all 5% tolerance except for surface mount types)
6 1µF MKT polyester
2 820nF MKT polyester (Rockby Electronics #32693)
2 680nF MKT polyester
2 470nF MKT polyester
Acrylic case parts
2 390nF MKT polyester
1 Acrylic case 211 x 89 x 40mm
4 220nF MKT polyester
1 SPST rocker switch (Altronics S3210,
4 100nF MKT polyester
Jaycar SK0984) (S1)
12 100nF X7R ceramic ^
1 panel mount 2.1 or 2.5mm DC socket
2 68nF MKT polyester
to suit supply plug
2 47nF MKT polyester
1 15mm length of 5mm heatshrink tubing
2 33nF MKT polyester
1 20mm length of 10mm heatshrink tubing
2 22nF MKT polyester
4 6.3mm long M3 tapped spacers
2 15nF MKT polyester
4 25mm long M3 tapped spacers
4 10nF MKT polyester
4 3mm nylon washers
2 6.8nF MKT polyester
4 15mm long M3 screws
2 4.7nF MKT polyester
6 10mm long M3 screws
2 3.3nF MKT polyester
2 M3 nuts
2 2.2nF MKT polyester
4 1nF MKT polyester
2 680pF MKT polyester
6 100pF ceramic
Resistors (0.25W 1%; # = metal film; ^ = 1206 thin-film surface mount)
2 1MΩ#
2 100kΩ# 4 2.7kΩ# 2 1kΩ#
2 470Ω# 4 110kΩ^
4 100kΩ^ 4 91kΩ^
6 82kΩ^ 2 62kΩ^
20 680Ω^ 4 10Ω#
AC supply
2 2-way pin headers with 2.54mm spacings (LK1, LK2)
2 shorting blocks
1 W04 1.2A bridge rectifier (BR1)
1 7815 positive 15V regulator (REG1)
1 7915 negative 15V regulator (REG2)
2 470µF 25V PC electrolytic
2 10µF 16V PC electrolytic
1 47kΩ resistor^
DC supply
1 2-way pin header with 2.54mm spacing (LK3)
1 shorting block
1 LM833D SOIC-8 op amp (IC13)
1 W04 1.2A bridge rectifier (BR1); 1N4004 diodes may be substituted (see text)
1 7815 positive 15V regulator (REG1) or 7812 12V; or no regulator (see text)
1 470µF 25V PC electrolytic
1 100µF 16V PC electrolytic
1 10µF 16V PC electrolytic (not required if REG1 not used)
1 100nF X7R ceramic ^
1 22kΩ resistor^
2 10kΩ resistor^
2 100Ω resistor^
26 Silicon Chip
is filtered using 470µF capacitors. One
capacitor is for the positive supply
and the other for the negative supply.
Power LED (LED1) lights with voltage applied between the +15V and
-15V supplies and is supplied current
via a 47kΩ resistor.
You can use a 15-16VAC plugpack
instead of a centre-tapped transformer.
This connects to CON5 between the
0V and an AC terminal of CON5. The
bridge rectifier then half-wave rectifies the input AC voltage. Two of its
internal diodes are thus unused, and
are shown shaded. The resulting ±15V
supply rails then run the circuit.
For a DC supply, the positive voltage is applied to one of the (normally) AC inputs and the negative connection to the 0V terminal of CON5.
Bridge rectifier BR1 then operates as
if it were a diode, providing reverse
polarity protection (the other three internal diodes are unused and thus are
shaded in Fig.6).
For input voltage above about 18V,
you can use a 15V regulator for REG1,
as with the AC supply options. If the
input DC supply is less than this, use
a 12V regulator (7812). With a supply
voltage below 15V, REG1 should be left
out, and its input and output terminals
shorted, so that the external supply
runs the circuit directly (but via BR1).
When using a DC supply, there is
no negative rail available and so REG2
is left off. LK3 is fitted to connect the
V- supply rail to the negative side of
the external supply (ie, 0V). LK1 and
LK2 are left open. As there is no negative rail, all signals to the op amps
now must be biased at half supply so
that there will be a symmetrical signal swing. The half supply voltage rail
becomes the op amp signal grounds.
This is provided by additional op
amps IC13a and IC13b. A half supply
rail is derived from two series 10kΩ
resistors across V+ and V- that are bypassed with a 100µF capacitor, to remove supply ripple.
Op amps IC13a and IC13b buffer
this half supply for the two channels. The signal grounds are separate
to minimise crosstalk between channels. IC13 can be left off when using
an AC supply.
Construction
That’s it for this month. Next month
we will go over the details for assembling
the PCB and case, putting it all together
and getting it up and running.
SC
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