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CMOS operational amplifier tutorial

Modules

1. Introduction
2. Two-stage CMOS operational amplifier
3. Circuits using the ideal operational amplifier
4. Stability and compensation of CMOS amplifiers
5. Frequency and time-domain analysis

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Main differences between the ideal opamp and a real device:

  • Finite gain
    Typical values for low frequencies and small signals: A = 102 ~105

  • Finite linear range
    Linear relation vo = A (va - vb) valid only for a limited range of vo
    Maximum value of vo limited by dc supply voltage

  • Offset voltage
    Output voltage vo,off ≠ 0 for va = vb = 0
    vo,off is usually directly proportional to the gain
    Convenient to describe the offset in terms of the input offset voltage vin,off
    vin,off is defined as the differential input voltage needed to restore vo = 0 in the real device
    for MOS opamps vin,off ~5-15 mV

  • Common-Mode Rejection Ratio (CMRR)
    Differential-mode input voltage:

Common-mode input voltage is defined as:

 

 

Differential gain: AD = A

Common-mode gain: AC = vo / vin,c

measured as shown in following figure:

 

CMMR = AD / AC

Or in logarithmic units:

20 log10 (AD / AC) in dB

Common-mode signals undesirables

CMRR measures the degree of suppression of these signals

Requirement: large value of CMRR

Typical values for MOS amplifiers CMRR ~60-80 dB

  • Frequency response

Gain A decreases at high frequencies

Evaluation by the frequency f0 at which |A(f0)| = 1

Typical values for MOS amplifiers f0 ~1-10 MHz

  • Slew rate

For a large input step voltage, the output follow the input at a slower finite rate

(reason: some transistors may be driven out of their saturation regions)

Slew rate: maximum rate of change dvo/dt

No direct relation with the frequency response

Typical values for MOS amplifiers ~1-20 V/?s

  • Nonzero output resistance

Open-loop output resistance is nonzero, resistive

Typical values for MOS amplifiers with an output buffer ~0.1-5 kW
                                                          
with unbuffered output ~ 1MW

Affects the speed of charging a capacitor connected to the output
                                                         
thus the highest signal frequency

  • Noise

Noise generated by the MOS transistors measured on the output of an opamp, von, can be modelled by an equivalent
voltage source, vn = von /A at the opamp input

Typical values of the equivalent input noise source in a wide band (10 Hz to 1 MHz) for MOS amplifiers ~10-50 ?V RMS

Achievable values of the equivalent input noise for bipolar amplifiers  ~3-5 ?V RMS

  • Dynamic range

Defined as 20 log 10(vin, max / vin, min) in dB

vin, max ... maximal input signal amplitude in which the device can handle
                                
without an excessive amount of nonlinear distortion

Optimistic estimate: vin, max ~ VCC /A (+-VCC ... power supply voltages, A ... open-loop gain)

vin, min ... maximal input signal
     
usually vin, min is of the same order of magnitude as the equivalent input noise

Dynamic range of an opamp in open-loop conditions ~ 30 - 40 dB

Dynamic range of an opamp in negative feedback configuration can be much larger

  • Power-Supply Rejection Ratio (PSRR)

Incremental component v of the power source gives the corresponding voltage

Apv on the on the opamp output

PSRR = AD / Ap (AD = A ? differential gain)

Or in logarithmic units:
                    
20 log10 (AD / Ap) in dB

Typical values for a single MOS amplifier PSRR ~60-80 dB
                      
for a complete filter PSRR ~30-50 dB

  • DC Power Dissipation

Typical values for an MOS opamp range from 0.25 to 10 mW dc power drain

1. Introduction
2. Two-stage CMOS operational amplifier
3. Circuits using the ideal operational amplifier
4. Stability and compensation of CMOS amplifiers
5. Frequency and time-domain analysis

pages: previous | 1 [2]

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