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Analysis and Application of Analog Electronic Circuits to Biomedical Instrumentation - Northrop.pdf
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Operational Amplifiers

261

VφHI

 

 

 

 

 

_

 

 

RSFF

VC-2

CH

 

 

OS-3

Q

P3

R

_

(N LO)

 

 

(N HI)

 

 

 

 

 

 

 

Q

 

 

 

 

 

 

 

 

Vs

Q

Vo

(N HI)

 

S

VC-1

(N LO)

CL

 

 

OS-2

Q

P2

 

 

 

 

(N LO)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

VφLO

 

 

 

 

 

 

_

P1

 

 

 

 

 

OS-1

Q

 

 

 

 

 

 

(N HI)

 

 

 

 

 

 

 

 

FIGURE 6.14

A nerve spike pulse-height window that produces an output pulse only if an input spike rises to its peak inside the window and then falls below the lower “sill.” No output pulse is produced if an input spike rises through the window and exceeds the upper level, then falls below the sill.

impulses recorded with extra-cellular microelectrodes that fall within a narrow range of amplitudes (the window). This processing enables other simultaneously recorded, very large (or small) action potentials to be ignored while the desired pulses can be counted, processed, and their instantaneous frequency calculated, etc.

Figure 6.14 illustrates the organization of this window circuit. Note that this circuit involves sequential as well as combinational logic. Critical waveforms of this window circuit are shown in Figure 6.15. Note that three oneshot multivibrators are used to generate narrow (e.g., 500 ns) output pulses given input logic state transitions. The NAND gate RS flip-flop serves as a “memory” that a rising Vs has exceeded VφLO. Note that, if Vs exceeds VφLO, the output of VC-2, CH, goes HI. This event triggers OS-3 to reset the RSFF Q output to LO, disabling the output AND gate.

Now when the large input again falls below VφLO, the P2 pulse does not produce an output. Only the falling edge of VC-1’s output, CL, can produce an output. The second Vs pulse in Figure 6.15 lies in the window. The rising edge of CL sets the RSFF Q output high, enabling the AND gate. When Vs falls below VφLO, OS-2 produces a positive pulse that appears at Vo, signaling a pulse that occurred inside the window. (A functionally similar nerve spike pulse-height window was described by Northrop and Grossman, 1974.)

6.5.3Discussion

The preceding sections described the basic behavior of VCs. Note that comparators are intended to signal analog voltage inequalities to appropriate

© 2004 by CRC Press LLC

262

Analysis and Application of Analog Electronic Circuits

Vs

VφHI

VφLO

t

0

CL

P2

CH

P3

FF Q (AND enable)

P1

Vo

FIGURE 6.15

Critical waveforms for the pulse-height window of Figure 6.14. See text for description.

logic circuits or transistor switches; op amps are for conditioning analog signals, giving an analog output. An important point is that an open-loop op amp (one without feedback) makes a poor comparator. Yes, op amps generally have very high gain differential input gains and high CMRRs, but

rapid changes in Vo are limited by the op amps’ slew rate, η. η is typically on the order of 20 V/μs, which means it takes Vo roughly 250 ns to slew 5 V.

Op amp outputs are generally not logic-level compatible; they swing to ±(VCC Vδ), where Vδ is a fixed voltage by which a saturated Vo fails to reach the supply voltage. Vδ is different for different designs of op amps. It is not good design practice to use op amps for comparator applications.

© 2004 by CRC Press LLC