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Assignment and Solutions on Current Mirrors

All  Problems in Single file : [PDF]     [Solutions]


  1. Design a simple current mirror using a current of 1 μA and VGS of 1 volt.
  2. Design a circuit to bias the MOSFET in figure shown, so that its drain current is 5 μA. Estimate the minimum voltage across M1 if it is to remain in saturation.
  3.  Determine the current that flows in M3 of  figure shown. Neglect oxide encroachment and the finite output resistance of the M3.
  4.  Determine the currents that flow in figure shown, if the size of M2 is 30/5. Compare the results with above problem and write your observations.
  5.  Determine the ac currents that comes from  source vt. Assume λ = 0.06 per volt.
  6.  Design a bias circuit so that the current that flows in M1 and M2 is 1μA. What are the small signal resistances looking into the drains of M2 and M1 ? what is the minimum voltage across M1 and M2 for operation in the saturation region ?
  7.  Using small signal analysis, prove that the resistance looking into drain of figure shown is
  8. For the circuit shown below, design current sources with output currents of 10 μA and 15 μA. Estimate the minimum voltage across the current sources and the output resistance. What is the VSG of the 100/5 MOSFET that sources 10 μA current ?
  9.  Estimate the variation in Io for the simple current mirror shown below, for VSS changing from -2.4 volts to -2.6 volts.
  10. Assume that a threshold voltage difference of 10 mV exists between the two MOSFETs used in a simple current mirror made using equal size MOSFETs. Calculate the difference in the drain currents to change with the MOSFET VGS ? Is matching between the currents better or worse with large VGS ? what happens to the minimum voltage across the current mirror if VGS is increased ?
  11.  Using the Wilson current mirror shown in figure and the CN 20 process, design a mirror in which Io = 150 μA with I REF = 50 μA for VDD = 5 volts, VSS = 0 volts.           
  12. A Wilson current mirror is designed with VDD = 5 volts, VSS = 0 volts, IREF = 10 μA and all devices sized to 10 μm / 10 μm.                                                                                                                   a. calculate the value of the small signal output resistance of the Wilson current mirror.                                                                                                                                             b. calculate the minimum output voltage, Vomin.                                                                                  c. Layout the devices M4 through M7, assuming that each device is 40/5 using an interditigated layout technique to match devices M5 and M6. Use parallel devices for M4 and M7.
   13.  For a cascode current mirror made using 15/5 devices,   
          a. calculate the value of the small signal output resistance of the Wilson current  
            mirror.                 
         b. calculate the minimum output voltage, Vomin.
   14.  Design a regulated cascode current sink of 1 μA. Estimate the output resistance of the current sink.
   15.  The basic idea used in the regulated cascode current sink is shown below.


What is the output resistance of this configuration? show that if the gain A is gm(ro/2), then the output resistance of the configuration reduces to  

  16.  Consider the schematic of the modified current mirror shown below. Estimate the small signal resistance to ground at both nodes A and B. if a resistor is used to connect node A to VDD, write an equation relating the drain currents of M1 and M2 to the resistor value.
          






Assignments ( & Solutions ) - CMOS Analog and Mixed Signal Design (JNTU Hyderabad)



UNIT - 1 :

 Current Sources / Sinks                                        (Assignment)                         (Solution)
    [Current Mirrors]


Voltage & Current References                              (Assignment)                         (Solution)






















Video Lectures on "Materials for Electronics" by Prof. C. Jacob sir

Video Lecture Series from IIT Professors :
Materials For Electronics by Prof. C. Jacob sir
 
Dr. C. Jacob sir

Ph.D.(Case Western, USA)

Associate Professor,  Materials Science

IIT KGP



Video Lectures and Lecture Notes on CMOS Analog and Mixed Signal Design by Satish Kashyap

CMOS ANALOG & MIXED SIGNAL DESIGN
Lecture Notes


Pre-Requisites : ( Click to Watch Video )

1.  Symbols  and  Construction  of  MOSFET

2.  Why Drain is at more positive voltage than Source in N-channel MOSFET ?
                                                   (or)
     Why Drain current always flow from Drain to Source in N-channel MOSFET ?

3. Why Drain current is constant in Saturation region of MOSFET ?

4. Operation of N-channel MOSFET

5. Analog MOSFET Models

6. Channel Length Modulation and its Effect on V-I characteristics



UNIT  -  I (Part - B):

Voltage and Current References 


voltage references based on voltage division rule (Video) (PPT)
[this video discusses resistor - resistor voltage divider biasing, resistor-MOSFET voltage divider biasing and MOSFET only voltage divider, advantages and disadvantages , sensitivity and temperature analysis of above circuits]

Self biasing current references (Video) (PPT)
[ this video discusses threshold voltage self biasing current reference, diode self biasing current reference,thermal voltage self biasing current reference, with their advantages and disadvantages]

Bandgap References (Video) (PPT


Beta Multiplier Voltage Reference 


UNIT –  I  (Part - A):

Current Sources & Sinks:  (PPT)

Basics of Current Mirror (Video) (PPT)

Calculation of gain, Ro and Vomin of simple Current Mirror (Video)(PPT)

Examples on Current Sources and Sinks (Video)(PPT)

Source Degenerated  Current Mirror (Video)(PPT)

Cascode Current Mirror  (Video) (PPT)

Sensitivity Analysis  (Video) (PPT)

 Temperature Analysis  (Video) (PPT)

Transient Resoponse  (Video) (PPT)

Layout and Matching in MOSFET Mirrors (Video) (PPT)

Wilson Current Mirror (Video) (PPT)

Regulated Cascode Current Mirror (Video) (PPT)

Wide Swing Low Voltage Current Mirror  (Video) (PPT)

Text books for CMOS Analog and Mixed Signal Design ( JNTU Hyderabad University )

TEXT BOOKS:
 


1.      CMOS Circuits Design, Layout and Simulation – Baker, Li, Boyce, 1st ed., TMH

 










REFERENCE Books :







1.      Analog Integrated Circuit Design –   David A.Johns,Ken Martin,1997, John-Wiley & Sons











2.      Design of Analog CMOS Circuits – B.Razavi,MGH,2003,TMH












3.      Analog MOS ICs for Signal Processing – R.Gregorian, Gabor.C.Temes, John Wiley & Sons




JNTU M.Tech Syllabus - CMOS Analog and Mixed Signal Design

CMOS Analog & Mixed Signal Design

I Year – II Sem. M.Tech (VLSI System Design)


CMOS ANALOG & MIXED SIGNAL DESIGN

CMOS ANALOG CIRCUITS:

UNIT –  I:
Current Sources & Sinks: The cascade connection, sensitivity and temperature analysis, transient response, layout of simple Current Mirror, matching in MOSFET mirrors, other Current Sources/Sinks.
References: Voltage dividers, current source self-biasing, band gap voltage reference,Beta-Multipler Referenced Self-biasing.

UNIT – II:
 Amplifiers: Gate Drain Connected loads, Current Sources Loads, Noise and Distortion, Class AB Amplifier. 
Feedback Amplifiers: Feedback Equation, properties of negative feedback and amplifier design, feedback topologies, amplifiers employing the four types of feedback, Stability.

UNIT – III:
Differential Amplifiers: The Source Coupled pair, the Source Cross –Coupled pair, cascode loads, Wide-Swing Differential Amplifiers.
Operational Amplifiers: Basic CMOS Op-Amp Design, Operational Trans conductance Amplifiers, Differential Output Op-Amp.

MIXED SIGNAL CIRCUITS:

UNIT – IV:
Non-Linear & Dynamic Analog Circuits: Basic CMOS Comparator Design, Adaptive Biasing, Analog Multipliers. 
Dynamic Analog Circuits: MOSFET Switch, Switched capacitor circuits: , Switched capacitor Integrator, dynamic Circuits.

UNIT – V:
 Data Converter Fundamentals: DAC & ADC specifications, Mixed Signal Layout issues.
 Data Convertor Architectures: DAC Architectures, ADC Architectures.

TEXT BOOKS:
1.      CMOS Circuits Design, Layout and Simulation – Baker, Li, Boyce, 1st ed., TMH

REFERENCES:
1.      Analog Integrated Circuit Design – David A.Johns,Ken Martin,1997, John-Wiley & Sons
2.      Design of Analog CMOS Circuits – B.Razavi,MGH,2003,TMH
3.      Analog MOS ICs for Signal Processing – R.Gregorian, Gabor.C.Temes, John Wiley & Sons