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B4N Studio Speaker


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The objective is to develop a tool kit for designing studio quality near field audio monitors producing a maximum continuous sound level intensity of 100 dB SPL, corresponding to 0 dBFS, consistent with OSHA 1910.95 for sound workers, at 1 meter, for a program level of 85 dB SPL, consistent with EBU R68-2000, at 1 meter. The -3 dB frequency response of the audio monitors should extend to below 40 Hz., and, above 25 KHz. An input voltage of 0.775 V RMS = 0 dbm should correspond to -15 dBFS = 85 dB SPL, the program level, to within a 6 dB pad for consistency with the other standards, 0 dBm and 0 dBV.

The development methodology for the audio monitors will follow the outline of Studio Speaker and consist of 4 designs: a single driver sealed enclosure; a dual driver MTM sealed enclosure; a single driver bridge sealed enclosure; a single driver ported enclosure. Each enclosure will consist of one, (2 for the MTM,) HiVi B4N 4" Aluminum Midbass and Dayton Audio DC28FT-8 1-1/8" Silk Dome Truncated Tweeter. The tape archive, b4n.tar.gz, contains the simulations and printed circuit board(s), (PCB,) development database, (including industry standard Gerber format files, connectivity "rat nests", component vendor and bill of materials, cost estimates, etc.,) to reproduce, enhance, or modify the circuits used in the near field audio monitors. The design environment used is gEDA.

The power supplies for all designs are two Lenovo/IBM laptop "bricks" wired in series to produce +/- 20V DC @ 4.5A, (available non-OEM on eBay for under $10 US, each, 50K hours MTBF.) Each PC board contains a +/- 15V regulator, and separate power and signal grounds. The power amplifier is based on the LM3886 "chip amp," and contains a DC servo loop to eliminate the output coupling electrolytic capacitors. All designs use common electronics, (i.e., the same PC boards, or fraction thereof,) and the signal paths use 275V polypropylene capacitors-a substantial cost reduction can be obtained by relaxing this requirement, (the requirement is the prevailing wisdom in the industry.) The signal path parametrics can be altered, (usually,) with only resistor changes on the PC boards-the capacitor values chosen are in the center of the applicable range. The signal conditioning paths use NE5534 Low-Noise High-Speed Audio Operational Amplifiers, (and the designs are compatible with the LT1115 Ultra-Low Noise, Low Distortion, Audio Op Amp, as a direct replacement.)


Near Field Audio Monitor Characteristics

Single B4N Sealed Studio Speaker

The single B4N sealed design is appropriate for studio monitors, or PC work station monitors, and has the smallest enclosure of the design suite.

Optimal Sealed Enclosure, Vcc = 20V, Vss = -20V, 1 Meter:

  • Vb = 5.336 liters = 11.132" X 6.880" X 4.252", (from ~/.audio/sealed-box.calc)
  • F3 = 76.14996105085896416634 Hz., (from ~/.audio/sealed-box.calc)

  • 14.142 V RMS = +/- 20 V peak, B4N limitation of 25 W
  • Vcc = 20V, Vss = -20 V, Lenovo 4.5A, 90 W, "brick" PS limitation
  • 20 - 3 = +/- 17 V peak, lm3886 limitation
  • I = 17 / 8 = 2.125 A, maximum, per single B4N speaker
  • 17 / sqrt (2) = 12.021V RMS, maximum, per single B4N speaker
  • 85 + 20 * log (12.021 / 2.83) = 97.6 dB SPL, maximum, per single B4N speaker
  • 97.6 + 6 = 103.6 dB SPL, maximum, per stereo set of single B4N speakers

Optimal Sealed Enclosure, Vcc = 20 V, Vss = -20 V, 1 Meter, Frequency Compensated:

  • Vb = 5.336 liters = 11.132" X 6.880" X 4.252"

  • B4N gain = -10.673 dB at 35 Hz.
  • 103.6 - 10.7 = 92.9 dB SPL at 35 Hz., maximum, per stereo set of single B4N speakers
  • 92.9 + 6 = 98.9 dB SPL at 35 Hz., maximum, per stereo set of B4N and dc28ft-8 speakers

  • B4N gain = 13.504 dB at DC
  • 103.6 - 13.5 = 90.1 dB SPL, at DC, maximum, per stereo set of single B4N speakers
  • FPBW of 98.9 dB SPL, per stereo set of B4N and dc28ft-8 speakers, is 35 Hz. to 9.8 kHz.
  • Frequency response: -1 dB @ 47 Hz., -3 dB @ 35 Hz., -10 dB @ 20 Hz.; -1 dB > 20 KHz.

Dual B4N MTM Sealed Studio Speaker

The dual B4N MTM sealed design is appropriate for studio monitors, and is the most expensive, (and produces the most accurate sound,) of the design suite.

Optimal Sealed Enclosure, Vcc = 20V, Vss = -20V, 1 Meter:

  • Vb = 5.336 liters = 11.132" X 6.880" X 4.252", (from ~/.audio/sealed-box.calc)
  • F3 = 76.14996105085896416634 Hz., (from ~/.audio/sealed-box.calc)

  • 14.142 V RMS = +/- 20 V peak, B4N limitation of 25 W
  • Vcc = 20V, Vss = -20 V, Lenovo 4.5A, 90 W, "brick" PS limitation
  • 20 - 3 = +/- 17 V peak, lm3886 limitation
  • I = 17 / 8 = 2.125 A, maximum, per single B4N speaker
  • 17 / sqrt (2) = 12.021V RMS, maximum, per single B4N speaker
  • 85 + 20 * log (12.021 / 2.83) = 97.6 dB SPL, maximum, per single B4N speaker
  • 97.6 + 6 = 103.6 dB SPL, maximum, per stereo set of single B4N speakers

Optimal MTM Enclosure, Vcc = 20 V, Vss = -20 V, 1 Meter, Frequency Compensated:

  • Vb = 10.672 liters = 14.025" X 8.668" X 5.357"

  • 103.6 + 6 = 109.6 dB SPL, maximum, per stereo set of two B4N speakers per MTM
  • B4N gain = -10.673 dB at 35 Hz.
  • 109.6 - 10.7 = 98.9 dB SPL at 35 Hz., maximum, per stereo set of two B4N speakers per MTM
  • 98.9 + 6 = 104.9 dB SPL at 35 Hz., maximum, per stereo set of MTM with dc28ft-8 speakers

  • B4N gain = 13.504 dB at DC
  • 109.6 - 13.5 = 96.1 dB SPL, at DC, maximum, per stereo set of four B4N speakers
  • FPBW of 104.9 dB SPL, per stereo set of MTM with dc28ft-8 speakers, is 35 Hz. to 9.8 kHz.
  • Frequency response: -1 dB @ 47 Hz., -3 dB @ 35 Hz., -10 dB @ 20 Hz.; -1 dB > 20 KHz.

Single B4N Bridged Sealed Studio Speaker

The singe B4N bridged sealed design is appropriate for studio monitors where output power is a design requirement; the output power is limited by the speaker driver limitations.

Optimal Sealed Enclosure, Vcc = 13V, Vss = -13V, 1 Meter:

  • Vb = 5.336 liters = 11.132" X 6.880" X 4.252", (from ~/.audio/sealed-box.calc)
  • F3 = 76.14996105085896416634 Hz., (from ~/.audio/sealed-box.calc)

  • 14.142 V RMS = +/- 20 V peak, B4N limitation of 25 W
  • Vcc = 10 + 3 V, 2.5 A, Vss = -10 - 3 = -13 V, 2.5 A, lm3886 limitation
  • 20 - 3 = +/- 17 V peak, lm3886 limitation
  • I = 10 / 4 = 2.5 A, maximum, per single B4N speaker
  • 85 + 20 * log (14.142 / 2.83) = 98.974 dB SPL, maximum, per single B4N speaker
  • 99.0 + 6 = 105.0 SPL, maximum, per stereo set of single B4N speakers

Optimal Sealed Enclosure, Vcc = 13 V, Vss = -13 V, 1 Meter, Frequency Compensated:

  • Vb = 5.336 liters = 11.132" X 6.880" X 4.252"

  • B4N gain = -10.673 dB at 35 Hz.
  • 105.0 - 10.7 = 94.3 dB SPL at 35 Hz., maximum, per stereo set of single B4N speakers
  • 94.3 + 6 = 100.3 dB SPL at 35 Hz., maximum, per stereo set of B4N and dc28ft-8 speakers

  • B4N gain = 13.504 dB at DC
  • 105.0 - 13.5 = 91.5 dB SPL, at DC, maximum, per stereo set of single B4N speakers
  • FPBW of 100.3 dB SPL, per stereo set of B4N and dc28ft-8 speakers, is 35 Hz. to 9.8 kHz.
  • Frequency response: -1 dB @ 47 Hz., -3 dB @ 35 Hz., -10 dB @ 20 Hz.; -1 dB > 20 KHz.

Single B4N Ported Studio Speaker

The single B4N ported design is appropriate for cost effective, high quality PC work station monitors, albeit with a larger enclosure volume than the sealed designs.

Optimal Ported Enclosure, Vcc = 20V, Vss = -20V, 1 Meter:

  • Vb = 10.471 liters = 13.937" X 8.613" X 5.323", (from ~/.audio/ported-box.calc, ALL = 1)
  • F3 = 38.73450175342769469896 Hz., (from ~/.audio/ported-box.calc, ALL = 1)

  • 14.142 V RMS = +/- 20 V peak, B4N limitation of 25 W
  • Vcc = 20V, Vss = -20 V, Lenovo 4.5A, 90 W, "brick" PS limitation
  • 20 - 3 = +/- 17 V peak, lm3886 limitation
  • I = 17 / 8 = 2.125 A, maximum, per single B4N speaker
  • 17 / sqrt (2) = 12.021V RMS, maximum, per single B4N speaker
  • 85 + 20 * log (12.021 / 2.83) = 97.6 dB SPL, maximum, per single B4N speaker
  • 97.6 + 6 = 103.6 dB SPL, maximum, per stereo set of single B4N speakers

Optimal Ported Enclosure, Vcc = 20 V, Vss = -20 V, 1 Meter, Frequency Compensated:

  • Vb = 10.471 liters = 13.937" X 8.613" X 5.323"

  • The low frequency response of the B4N is limited to 94 dB SPL at 94 Hz., and 41 Hz., (from ~/.audio/responses/B4N/ported.box.size/response.gp, splmax):

    • 94 dB SPL, maximum, per single B4N speaker
    • 94 + 6 = 100 dB SPL, maximum, per stereo set of single B4N speakers
    • 100 + 6 = 106 dB SPL, maximum, per stereo set of B4N and dc28ft-8 speakers
    • FPBW of 106 dB SPL, per stereo set of B4N and dc28ft-8 speakers, is 41 to 9.8 kHz.
    • Frequency response: -1 dB @ 42 Hz., -3 dB @ 38 Hz., -10 dB @ 32 Hz.; -1 dB > 20 KHz.

PC Boards

The PC boards are dual layer, (top and bottom, only,) and use a minimum of 20 mil line widths and spacing, (common in linear designs,) which can be manufactured economically at almost any vendor of choice. The boards are designed to be mounted flat, (with 4 fasteners, one in each corner,) usually along the edge of an aluminum enclosure for attachment of power dissipating components to the chassis/enclosure, which functions as a heat sink for the components.


sealed.png

Figure I

Figure I is a plot of the sealed enclosure signal conditioning printed circuit board, measuring 6.5" X 3.2", and component BOM, sealed.bom. One is required for each channel, and provides both the high frequency and low frequency crossover paths and signal conditioning.


ported.png

Figure II

Figure II is a plot of the ported enclosure signal conditioning printed circuit board, measuring 4.2" X 3.4", and component BOM, ported.bom. One is required for each channel, and provides both the high frequency and low frequency crossover paths and signal conditioning.


PA.png

Figure III

Figure III is a plot of the power amplifier printed circuit board, measuring 5.0" X 3.1", and component BOM, PA.bom. One is required for each channel, and provides both the high frequency and low frequency crossover paths to the speaker drivers.


Schematics

The development database for all audio monitors in the suite is in the tape archive, b4n.tar.gz. The development system uses gEDA Electronic Design Automation tools, particularly, Gschem(1), for schematic capture and Spice electronic circuit simulation netlist extraction. Ngspice was used for the Spice circuit simulations. RCS was used for version control in the development.

The PC boards were designed using PC Board Circuit Editor from the gEDA suite.

There are four designs of audio monitors in the suite, and all share common electronics; the files in each RCS directory under the TLD are linked to common sources, (i.e., a "library,") branching to the different designs-the directory structure follows the design hierarchy for each design. The parametric differences between the designs are calculated using Calc - C-style arbitrary precision calculator. For example:


sigcon.png

Figure IV

Figure IV is a plot of the signal conditioning circuit for all sealed enclosures, (the PC board in Figure I was made from this schematic-its actually the second level down in the hierarchy.) Descending into the Linkwitz/BiQuad transform circuit, (block X3,) for example:


lt.png

Figure V

Figure V is a plot of the Linkwitz/BiQuad transform circuit for all sealed enclosures. Note the absence of component values. The values are calculated by a Calc script, lt.calc, which is redirected to a file; there is a Spice include directive to include these values into the schematic for simulation. These schematics are used to generate the PC board layout.

Note the expediency of changes in parametric values, (i.e., change the Calc scripts, not the schematics.) Additionally, the PC board is routed from the same schematics and values, minimizing the chance of sending the wrong circuit, and/or values, to a vendor.


License

A license is hereby granted to reproduce this software for personal, non-commercial use.

THIS PROGRAM IS PROVIDED "AS IS". THE AUTHOR PROVIDES NO WARRANTIES WHATSOEVER, EXPRESSED OR IMPLIED, INCLUDING WARRANTIES OF MERCHANTABILITY, TITLE, OR FITNESS FOR ANY PARTICULAR PURPOSE. THE AUTHOR DOES NOT WARRANT THAT USE OF THIS PROGRAM DOES NOT INFRINGE THE INTELLECTUAL PROPERTY RIGHTS OF ANY THIRD PARTY IN ANY COUNTRY.

So there.

Copyright © 1992-2015, John Conover, All Rights Reserved.

Comments and/or problem reports should be addressed to:

john@email.johncon.com

http://www.johncon.com/john/
http://www.johncon.com/ntropix/
http://www.johncon.com/ndustrix/
http://www.johncon.com/nformatix/
http://www.johncon.com/ndex/



Home | John | Connie | Publications | Software | Correspondence | NtropiX | NdustriX | NformatiX | NdeX | Thanks


Copyright © 1992-2015 John Conover, john@email.johncon.com. All Rights Reserved.
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