> Home
> Products
> Technology
> Plans & DIY
> Ordering
> Reviews
> About us
> FAQ
> Contact
 

 

 

 

 

 

  Linkwitz Transform kit
12" subwoofer with custom eq
DS12 Linkwitz Transform kit
A Compact subwoofer with deep bass on a budget

Want a compact size sealed subwoofer with great bass extension and don't want to spend a fortune? Our LT combo kit is the answer. Our recommendation is to use the kit in a box with 54-42L (2-1.5 cu ft) internal volume (such as a 16-1/2" cube box). The kit consists of a 370w amp (A370 SE) with a Linkwitz transform circuit a board, and a DS12 driver without servo feedback. With the Linkwitz Transform circuit we can get a better bass extension than what natural physics gives us. The extension filter on the amp provides 3 roll-off frequency settings and 3 damping factor settings for a total of 9 combinations. The 3 frequency settings are: 14 Hz, 20 Hz, and 28 Hz. The damping factor control has high (Q=0.5), medium (Q=0.7), and low (Q=1.1). This is a very good setup for HT in a medium-size room.

Save additional $20 when buying a pair. Additional $15 discount if paid by Money Order or checks.

  Description Price black cone
  DS12 LT sealed (A370SE nonservo12 dB/octave) 2 cu ft $379 buy it now
  DS12 LT sealed (A370SE nonservo 24 dB/octave) 2cu ft $399 buy it now

The non-servo drivers used for this kit are available for purchase separately. Save $10 per driver when buying a pair. The T/S parameters are as follows.

Model DS12 nonservo
Enclosure size 2 cu ft sealed
  3-4 cu ft vented
fs 26 Hz
BL 11.24
VAS 88 L
Qms 7.42
Qts 0.472
Sd 530 cm2
Re 2.80 ohms
Le 1.0 mH
Cone finish Silver
  Black

 

  Description Price black cone
  DS12 12" nonservo driver (black cone) $129 buy it now
 
Fully Installed Linkwitz Add-on Board for A370 amp

This is the fully installed LT correction circuit board in our A350 amps. The circuit board has a toggle switch that can bypass the LT circuit. It is only available when you order with A350 amp. This option is only available with our drivers. We no longer provide fully installed LT for 3rd party drivers. For 3rd party drivers, please use the half installed boards.

  Description Price  
  Full assembled LT board for A370 (only available for our drivers) $40 buy it now
  Full assembled LT board and a A370SE nonservo Amp $259 buy it now
LT boards
Half Installed Linkwitz Add-on Board for A370 amps

The best way to save money on LT boards with 3rd party drivers is to do-it-yourself. There are two steps required. The first step is to solder all the components using the schematic provided at the bottom of this page. The second step is to install the connector to the pre-amp board of a A350 amp. This requires some soldering skills. The complete procedure of second step is in here.

  Description Price  
  LT board + connector + switch + 1 Op amp $20 buy it now
  A370SE 12db nonservo amp plus the above LT half-assembled board $249 buy it now
  A370PEQ 12/24db nonservo amp plus the above LT half-assembled board $289 buy it now
  A370XLR 12/24db nonservo amp plus the above LT half-assembled board $289 buy it now

 

Linkwitz Transform information

What is Linkwitz transform (LT) circuit?

The origin of Linkwitz Transform circuit dates back as early as 1980 when Siegfried Linkwitz published the article "A three-Enclosure Loudspeaker System" in Speaker Builder magazine (now AudioXpress). One of the objective was to extend the frequency response of a sealed box subwoofer module by altering its corner frequency and the Q value to a new set of values. It not only extends the frequency response, but also changes the Q value. There are several sites which cover this topic.

The Case for Linkwitz Transform Correction Circuit

If you have already decided to make a sealed box sub and have done some research, you may have discovered the Thiele/Small parameters impose restrictions. The first restriction is enclosure size. Most likely you will be told a larger box gives better bass extension. Normally, a small enclosure limits bass extension. Second, the interdependency of Q value on the bass extension vs enclosure size. To get lower Q for better musical sound, you need to build a literally huge box. In some cases, a 4 cubic foot box is required to get a low Q of 0.5. For many this is unacceptable. Not only it is difficult to build and move, it is even more difficult to make it inert. Third, the inflexibility of amplifier selection. Often the result is that either the amplifier doesn’t have sufficient power, or the excursion limits of the driver is exceeded.

Linkwitz circuit can address these problems, however, not by the circuit itself. First, to effectively use an LT circuit, the amp should be large enough to provide the required output headroom. Second, the amp should have a flexible extension control to allow one to tradeoff bass extension vs maximum SPL level. In another words, our A350 amps that have the adjustable extension filter settings are perfect for this task (as shown below).

bass extension filters

The design process of LT-based subs is also different. After you pick an A350 to start with, one can calculate the enclosure size. The enclosure size should be such that the driver will not exceed the excursion limit. For most common drivers with a A350 amp, this will be around 2 cu ft internal volume. One can go smaller than that, but keep in mind that a smaller enclosure delivers less SPL output. After determining the driver and enclosure size, then we can go about setting the LT circuit board. When everything is finished, you can play with the extension setting to see which of the frequency and damping setting suit you best. In some cases, you may find best settings are different for music and movie. You will be the one to judge.

In short, we think that building a sealed box sub based on T/S parameters (for sealed box in particular) should be a thing of the past. Many manufacturers of sealed box subs are using LT correction circuit in their products without explicitly letting you know. We really recommend you consider this route to make your project more rewarding. The experience that one acquires in building our LT combo kit is equal to that one can acquire in building several conventional subs combined. We would certainly not recommend you go to the latter route.

To give you a real-world example using our drivers, the maximum SPL output from a 2 cu ft internal volume mated with our A350 amps (350WRMS) is equal or higher than the same driver in a 2.6 cu ft internal volume box driven by a 250WRMS amp. SPL outputs are equal at frequency below 20 Hz, and above 30 Hz, the A350 in 2 cu ft box has 3db higher max SPL output. Which one would you rather to choose? A more detailed explanation why an LT-based sub is superior can be found in our discussion of excursion utilization.

LT board

Schematic and Installation of Circuit Components on LT board

The above picture is the close-up shot of component side of LT circuit board. The circuit below is the for our LT circuit board. R1-R3 and C1-3 are components that determine what the original fs and Q values and what the new fs and Q values are. The second op amp is to keep the overall phase non-inverting. The component CSH and RSH can be used to implement a shelf-up EQ. This is very useful for subwoofer with large voice coil inductance. However, for most subwoofer drivers, there is no need to install CSH and RSH.

schematic

There are complex formulae to calculate the required component values. One can come up with these values from other web sites, or for our drivers, we do it for you. The procedure that we recommend is as follows. Start with C2 being a commonly used value, such as 0.1uF or 0.056uF. Calculate all R1-R3 values and pick the closest values that you can find. C1 and C3 values may not be commonly used values. In this case, we recommend parallel 2 caps to get the desired value. That is exactly why on the LT board we reserved 2 parallel caps for C1 and C3, respectively. The board itself is only 1-3/8"(H) x 2-1/4"(D). So we recommend small footprint components. Cp are power supply filter caps. I often use stacked 0.1u caps for them. Rf1 and Rf2 can be any value from 10k to 200k as long as they are equal. I normally pick one of the values from R1-R3. However, if one wants to implement the shelving function, then Rf1 and Rf2 need to be carefully calculated. After soldering, the board should look like as follows:

LT board after soldering

These components were purchased from Digikey and I will strongly recommend them (less than $25 order has a $5 handling charge though). Although, in the above picture I use 1/4w metal film resistors, 1/8w carbon/metal film resistors will also work. The solder pads for caps provides lead spacing for either 0.2" (5.0mm) or 0.3" (7.5mm) for C1, C2, C3. For Cp it is 5mm. One of C1 has spacing of 0.3" (7.5mm) and 0.4" (10mm) reserved for large cap value. After all the soldering has been done, put the board back with soldering side facing up. In the following are some examples:

Example component value table

Code
driver

enclosure int. size (cu ft)

Old Fs/Q

New Fs/Q
R1
R2
R3
C1
C2
C3
Rf1/Rf2
Shelving
Rsh/Csh
Last update
R1
DS12
2.0-1.8
40/1.1
19/0.7
12.4k
12.4k
57.6k
1u
0.1u
0.22u
12.4k
NA
10/10/04
T1
Titanic 12 MkII
2.0-1.8
40/1.1
19/0.7
12.4k
12.4k
57.6k
1u
0.1u
0.22u
12.4k
NA
10/10/04
A1
AV12
1.6
47/1.2
20/0.7
10.0k
8.45k
52.3k
1.15
0.1u
0.22u
10.0k
Required
10/10/04

In the following is an example of the transfer function implemented by LT circuit. The dip around 50 Hz is to correct the original Q value, and the boost at the bottom end is to extend the frequency response.

LT transfer function

What you should know

To get the best results, one should have the actual measurements of the original frequency response without LT. If you don't have that, the next best thing is a simulation program. One big thing to note in simulation programs is that while they do show Qts and fs, most of them do not consider semi-inductance (or simply inductance) in voice coil when those values are computed. To test out if that is the case, simply change the voice coil inductance in the driver parameter and check if Qts and fs get updated. If not, one should consider fudging factors. The impact of voice coil inductance is that it moves both Qts and fs higher. The value I recommend is 20% higher for Qts and 10% higher for fs.

If you buy the driver from us, then you don't need to be concerned because we do the measurements for you and it is more accurate than simulation.

Limitations

The amount of fs and Qts one can change with LT turns out to be interdependent. That is, if one change the fs by a factor of X (that is old fs over new fs), one can only change Qts by a factor between X and 1/X. For instance, if one change the fs from 40 Hz to 30 Hz, one can change the Q value by a factor between 3/4 to 4/3. Therefore if one does not want to change fs by much, there is not a wide range that one can change Q value. The extreme case is one does not want to change fs value. This is exactly why it is not recommended for vented box, plus the fact that frequency response from a vented box has a pair of corner frequencies and Q values to be concerned with. So a single LT will not work. A triple LT board may work though.

The following photos show an add-on LT module after it is installed inside our A350 amps.

LT boards

installed

We also offer LT add-on board for our A250 amps.

Example

In the following we will use our 12" amp/driver/LT bundle kit as an example to demonstrate how LT works in real world. First we show the response of our 12" woofer in box with sealed box 2.2cu ft external volume -14-1/2"W x 18-1/2"H x 15"D (internal net volume excluding driver is 1.8cu ft). Other woofers have may similar response in enclosure of this size. All of the following curves are based on measurements, not simulation. The blue curves are for phase response.

2 cu ft sealed boxresponse with Linkwitz Transform

The response has a Q value of 1.1 at 40 Hz based on curve fitting (one can also check the 90 degree cross point). In addition, the f3 is slightly above 30 Hz. With LT circuit, one can either equalized it to 19 Hz with Q value of 0.7 or 14 Hz with Q value of 0.5.

LT to 14 Hz

How about extension filter in A350?

When you order LT module from our bundle kit, we will also change the Q value of extension filter in A350. The new Q values are: 0.5 for high damping, 0.7 for mid damping, and 0.95 for low damping. The main reason is with LT module, there is no need for Q value larger than 0.95. The high damping should give a detailed bass sound. The low damping setting is recommended for high playback volume and is only recommended for 28 Hz extension filter setting.