From: "Saved by Internet Explorer 11" Subject: Website of Wayne Stegall - Cascode Selector Date: Thu, 6 Mar 2014 10:11:41 -0800 MIME-Version: 1.0 Content-Type: multipart/related; type="text/html"; boundary="----=_NextPart_000_0000_01CF3924.781C9A20" X-MimeOLE: Produced By Microsoft MimeOLE V6.1.7601.17609 This is a multi-part message in MIME format. ------=_NextPart_000_0000_01CF3924.781C9A20 Content-Type: text/html; charset="Windows-1252" Content-Transfer-Encoding: quoted-printable Content-Location: http://waynestegall.com/audio/cascodeselector.htm =20 =20 Website of Wayne Stegall - Cascode Selector =20 =20 =20 =20 =20


3D"My
3D""=20

Copyright =A9 2010 Wayne Stegall
Updated November 27, = 2010.  See=20 Document History at end for details.
SPICE = verified.


Cascode Selector



Figure 1:  CMOS Bilateral switch

Introduction
Semiconductor switches sometimes = used as=20 selectors in stereo equipment are regarded with suspicion by some = because=20 the FET's used are expected to add distortion to the signal.  = Common=20 CMOS bilateral switches that allow logic control of analog signals = are specified with an on resistance of 80Ω.  The represents = 12.5mS of nonlinear FET transconductance in its linear operating region = which might=20 be mitigated regarding distortion by increasing the load = resistance on the=20 output of the switch.  If the p-channel and n-channel devices = connected in parallel are matched, the resulting symmetrical = transfer=20 curve might produce a distortion result euphonic in the way = push-pull=20 class-a amplifiers are. 3D"bilateral

A Better Alternative

It is desireable to design to a = transistor's=20 strengths rather than to its weaknesses.  A common transistor = strength is=20 the near perfect current output of its drain or collector.  Here = cascode=20 FET's, two per line, switch the output current of multiple class-a = biased transistors into either the output load or a supply voltage.  The deselected FET would be out of the circuit due to high impedance and = the=20 selected FET would benefit the high-frequency response of the resulting = class-a=20 amplifier in the manner normally expected of a cascode.  Here = deselected=20 signals are switched to supply voltage rather than being turned off = completely=20 because of risk of creating anomalies at the input by saturating the = amplifying=20 transistor.  The result is a selector fit for class-a audio = tastes. =20 CD4000 series logic is needed to control the selector because only its = range of=20 supply voltages (5V-18V) are likely to provide an appropriate cascode = gate=20 bias.  I do not show the amplifier input bias in the first = schematic for=20 the sake of simplicity.  Any class-a design you desire with BJT, = JFET, or MOSFET devices will interface with the selector in the same way.  = You can=20 certainly try the bias and transistor choices of the SPICE example if = you=20 like.  I show separate analog power supplies in the schematic below = because=20 decoupling deselected signal currents from the output circuit would = benefit=20 rejecting crosstalk between lines.

Figure 2:  Four-input Cascode Selector
3D"4-input

Spice Simulation

Because of = the=20 difficulty of modeling logic circuits in SPICE, I modeled a two-input = cascode=20 selector.  The select logic can then be implemented with = switches. =20 This particular example does not have the lowest of distortion = results. =20 However, the class-a design is independent of the selector operation and = can be improved.  Here input trimmers lower the input signal to reduce = distortion=20 in the self-biased circuit before a gain of 5 restores the level.  = The=20 trimmers were set for an overall gain of one to normalize the analysis = of=20 deselected channel rejection.  The SPICE version used here is the = Analog=20 Devices trial version of MultiSim.

Figure 3:  Schematic Capture of Two-input Cascode Selector for = SPICE Analysis
3D"2-input
SPICE Model for circuit of Figure 3.

Figure 4:  AC analysis of selected line shows selected signal = at=20 output
3D""

Figure 5:  AC analysis of deselected line shows rejection of deselected signal at output.
Reduction of rejection with = frequency=20 above 100Hz is due to FET drain capacitance.  The result is = still=20 excellent overall.
3D""

Figure 6:  Fourier analysis shows euphonic level of second harmonic.
3D""

Figure 7:  Second harmonic plot
3D""

Figure 8:  Third harmonic plot
3D""

Figure 9:  Fourier = Analysis for=20 Cascode Only (current signal driving source of = BS170).
Distortion=20 -120dB and lower is below that of any amplifier circuit you might = switch=20 with it.
3D"fourier

Figure 10:  Second Harmonic = Plot for=20 Cascode Only.  Third harmonic plot also has first order = upward slope=20 (20dB/decade).
3D""


Pushbutton Logic for Above Selector

Asynchronous logic control = is=20 desired for this circuit for several reasons.  They do not = broadcast radio=20 frequencies (RF) and nor inject clock noise into the controlled circuit = as=20 synchronous logic or a microprocessor could.  At most, a single RF = click=20 might come through when a new selection is made and no more.  The = logic=20 circuit presented selects the output line activated by a momentary = pushbutton=20 switch and holds the output value after the switch is released.  = This=20 functionality requires feedback to hold the selected value.  Here = NOR logic=20 dictates the selected NOR gate have all zero inputs to produce the one=20 output.  When the selected switch is pressed, the input, normally = zero by a=20 pull down resistor, transmits a one to each deselected NOR forcing their = outputs=20 to zero.  In this condition, feedback from the deselected zero = outputs to=20 the selected NOR together with zero inputs to that same NOR raise the = output of=20 the selected NOR to one, a condition that will remain until another line = is=20 selected.  This circuit could be considered a multivariable = set/reset=20 flip-flop, indeed a two-line selector would only require a common SR=20 flip-flop.  Be sure to choose a digital supply voltage correct for = the=20 desired ON gate bias of the cascode.

Table 1:  OR/NOR Logic = Table
input
 output OR
 output NOR
all zeros
 0
 1
any ones
 1
 0


Circuit

Figure 11:  Schematic of Push-button Logic for Four-input Cascode Selector
3D"4-line
For n lines, n NOR gates with = 2(n-1)=20 inputs each are required.
Thus the use of 8-input NOR gates = will only=20 support 5 lines.

Figure = 12: =20 Schematic of Push-button Logic for Five-input Cascode = Selector.
If you=20 can deduce how both of these controls operate, how they are the = same, and=20 how they are different, you will be able to design one with a = different=20 number of signal lines.
3D"pushbutton

If NOR gates larger than = those=20 available on standard ICs are required, they may be built up by = connecting=20 OR gates to the inputs of the largest NOR gate available.  = This is=20 because the OR boolean function is associative and commutative as = addition=20 is in normal math.

Figure=20 13:  Ten-input NOR Constructed from 3-input OR and 8-input=20 NOR.
A controller for a six-line selector would require = this gate.
Boolean function equivalent:  k =3D NOT((a OR b OR = c) OR d OR=20 e OR f OR g OR h OR i OR j)
3D"10-input

Table 2:  Gates Useful to Selector=20 Construction
Part Name
 Part Description
 Appears in this = article
CD4001
 Quad 2 input NOR gate
CD4002
 Dual 4 input NOR gate
CD4078
 Single 8 input OR/NOR gate
 yes
CD4075
 Triple 3-input OR gate
 yes
CD4049
 Hex inverter
 yes


Note:  Gate inputs in the CD4000 logic family are limited to 2, 3, = 4, and 8=20 in number.  Any unused inputs on used or unused gates should be = tied to=20 logic 0 or 1 as follows:
OR/NOR:  Tie unused inputs to logic = 0.
AND/NAND:  Tie unused inputs to logic 1.


Verification of Pushbutton Logic

I decided to verify the = above=20 logic circuit with a C program rather than SPICE. (Only verified with = gcc=20 compiler for now.)

Figure 14:  C Code Verifying Pushbutton Logic
/*
  = pushbutton.c
 =20 Simulate pushbutton logic circuit
*/

#include=20 <stdio.h>
#define LINES 4

void = main(void)
{
 =20 int in[LINES],out[LINES],tmp[LINES];
  int = ch,h,i,j;

 =20 printf("\n\nInstructions:\n" \
  "input a up to simulate=20 activation of normally open pushbutton.\n" \
  "input q to = quit.\n" \
  "input any other letter to simulate steady = state=20 retention of last.\n" \
  "  selected = input");

 =20 printf("\n\nlines  ");
  = for(i=3D0;i<LINES;i++)
    printf("\t%c",'a'+i);
  = printf("\n\n");
  do
  {
    /* initialize inputs = to 0=20 */
    for(i=3D0;i<LINES;i++)
      in[i] =3D 0;
   =20 printf("Enter line to active or q to quit:  = ");
   =20 ch =3D getchar();
    /* guard for the return = character=20 getchar was capturing
       on = the=20 subsequent pass after every input */
    if(ch = =3D=3D=20 '\n')
      ch =3D getchar();
    ch =3D tolower(ch);
    if(ch = >=3D 'a'=20 && ch <=3D = ('a'+LINES-1))
     =20 in[ch-'a'] =3D 1;
    printf("\n\nlines  = ");
    for(i=3D0;i<LINES;i++)
      = printf("\t%c",'a'+i);
   =20 /* print inputs */
    printf("\ninput  = ");
    for(i=3D0;i<LINES;i++)
      = printf("\t%d",in[i]);
   =20 /* calculate outputs twice to allow feedback to raise selected = line */
    for(h=3D0;h<2;h++)
    = {
      for(i=3D0;i<LINES;i++)
      {
        /* initialize OR gate = */
        tmp[i] =3D 0;
        /* OR inputs of other = lines only */
       =20 for(j=3D0;j<LINES;j++)
          if(j !=3D = i&&=20 in[j])
=            tmp[i] = =3D=20 1;
        /* OR outputs of = other=20 lines only */
       =20 for(j=3D0;j<LINES;j++)
          if(j !=3D = i&&=20 out[j])
=            tmp[i] = =3D=20 1;
      = }
     =20 = for(i=3D0;i<LINES;i++)
       =20 out[i] =3D tmp[i]?0:1;
    = }
    /*=20 print result */
    printf("\noutput ");
    for(i=3D0;i<LINES;i++)
      printf("\t%d",out[i]);
    printf("\n\n");
  }
  while (ch = !=3D=20 'q');
}


Power Supply = Recommendations

Maintaining the logic selection while ac power is off is a primary = design=20 goal.  Also all connected CMOS must power up and down together to = prevent=20 unwanted side effects.

Although the analog power supply design is = out of=20 the scope of this article because they are part of the class-a amplifier = design,=20 I refer you to redesign that in the article Line Level Class A Power Supply for this application.

As for the = logic=20 power supply, my first impression is that the CMOS logic will draw = minimal=20 current when idle and a mild spike on making a new selection.  For=20 VDD of 10V, the CD4078B datasheet rates a 10nA typical and a = 500nA=20 maximum quiescent current and a maximum output current of 2.6mA.  = With a=20 worst case 500nA idle current consumption, a 9V battery would be a fine = digital=20 power supply.  The datasheet of the Energizer 522 9V battery shows = charge=20 capacity declining with increasing current load.  At the lowest = rated=20 current load of 25mA the battery is rated for 600mAh.  Calculate = battery=20 life for 5 NOR gates drawing 500nA each:
TBATTERY-LIFE =3D =
QBATTERY =20
IDEVICE =D7 #CD4078B devices
  =3D
600mAh =20
500nA =D7 5		  =3D 240,000 hours =3D 27.38 = years =20
In this application the battery = might last as long=20 as sitting unused.

For those who want a power supply without a = battery,=20 one using supercapacitors will hold backup voltage for a long = time.  The series-parallel zener-capacitor topology below is required because of a = 5.5V=20 voltage limit on most supercapacitors.  If you need more than 10V = drive to=20 cascode selector inputs you will need to expand the circuit with more = zeners and=20 capacitors.  VDD-RAW input could be supplied by any = other power=20 supply in the system because the JFET current source provides = significant line=20 isolation.  The bias through the zeners must be as much as the peak = current=20 drawn by two of the NOR gates plus the value of the minimum zener turn = on=20 current, because only two NORs change state on each new selection.  Therefore IZ ≥ 2 =D7 INOR-PEAK + = IZB =3D 2 =D7 2.6mA=20 + 1mA =3D 6.2mA.  IZ ≥ 7mA would allow some extra = margin of=20 operation.

Figure 15:  Supercapacitor power supply
3D""

 
 Parts List
Q1
2N3819 or J310 n-channel = JFET
R1
270Ω (adjust value to = get 7-10mA=20 circuit bias)
D3
1N4148 or 1N914 small = signal=20 diode.
D1, = D2
4.7V or 5.1V 1W = zener
C1, = C2
1F electric double layer = capacitor=20 (gold capacitor)



A properly calculated = resistor=20 could replace Q1 and R1 if you=20 = like.


Spice=20 Results

Figure 16:  Supercapacitor power supply - Line rejection shows = 86.5dB=20 PSRR.
3D"line

Figure 17:  Supercapacitor power supply - Output=20 impedance
3D"output

SPICE Model for Supercapacitor power=20 supply.

Miscellaneous

LED selection indicators are desirable, yet direct = CMOS=20 drive would deplete the backup power supply.  Therefore, I = recommend a discrete MOSFET circuit.  The MOSFET inputs will not draw any idle = current=20 and the supply to their drains through the LEDs and their bias can = switch on and=20 off with the main circuit without any effect.  Small LEDs typically = draw a=20 maximum of 20mA.  RiBIAS should set a bias limit of 10mA = and=20 RiADJ should adjust the bias down from there.

Figure 18:  LED Selection Indicator
3D"led

RiBIAS =3D
 VDD-LED - = VF-LED =20 =20
ILED
For green LEDs with = VF=20 of 2.2V driven by a 30V supply:
RiBIAS =3D
 30V - 2.2V =20
10mA
  =3D 2780Ω =
RiBIAS would round to 2.7kΩ and you might arbitrarily = choose RiADJ to be 10kΩ.
Many would try different values = from their=20 parts supply and substitute a fixed value giving the desired brightness = for=20 RiBIAS and RiADJ.

Others might just use a two-pole = six-position rotary=20 switch as a selector in place of all of this!  ;)

Document History
November 17, 2010  = Created.
November 17,=20 2010  Made minor improvements.
November 18, 2010  Added a = schematic=20 for pushbutton logic to control a five-line selector and another = demostrating=20 how to build up larger than standard NOR gates (for larger selectors) = from=20 smaller standard parts.
November 27, 2010  Added power supply=20 recommendations and a schematic for an LED=20 indicator.

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