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1. Introduction

Theoretical Analysis of CMOS Computational Circuits for Analog Signal Processing Prof. dr. ing. Cosmin Radu POPA March 2015. 1. Introduction. Introduction. Advantages of analog computation: Low-power operation High speed High accuracy Small silicon areas Research objectives:

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1. Introduction

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  1. Theoretical Analysis of CMOS Computational Circuits for Analog Signal ProcessingProf. dr. ing. Cosmin Radu POPAMarch 2015

  2. 1. Introduction

  3. Introduction • Advantages of analog computation: • Low-power operation • High speed • High accuracy • Small silicon areas • Research objectives: • Improvement of circuits’ accuracies • Low-voltage low-power operations • Reduction of circuits’ complexity • Increasing the number of developed circuit functions

  4. OUTLINE 1. Introduction 2. Fundamental CMOS computational structures 2.1. Squaring circuits 2.2. Multiplier/divider circuits 2.3. Euclidean distance circuits 2.4. Active resistor structures 3. Multifunctional structures 4. CMOS function synthesizers 4.1. General function synthesizers 4.2. Exponential function synthesizers 4.3. Gaussian function synthesizers 4.4. Sinh and tanh function synthesizers 5. Conclusions

  5. 2. Fundamental CMOS computational structures

  6. 2. Fundamental CMOS computational structures 2.1. Squaring circuits

  7. 2.1. Squaring circuits Voltage-input circuits

  8. 2.1. Squaring circuits Voltage-input circuits Squaring circuit (I)

  9. 2.1. Squaring circuits Squaring circuit (I) – general schematic

  10. 2.1. Squaring circuits Squaring circuit (I) – first realization

  11. 2.1. Squaring circuits Squaring circuit (I) – second realization

  12. 2.1. Squaring circuits Voltage-input circuits Squaring circuit (II)

  13. 2.1. Squaring circuits Squaring circuit (II)

  14. 2.1. Squaring circuits Current-input circuits

  15. 2.1. Squaring circuits Current-input circuits Squaring circuit (III)

  16. 2.1. Squaring circuits Squaring circuit (III)

  17. 2.1. Squaring circuits Current-input circuits Squaring circuit (IV)

  18. 2.1. Squaring circuits Squaring circuit (IV)

  19. 2. Fundamental CMOS computational structures 2.2. Multiplier/divider circuits

  20. 2.2. Multiplier/divider circuits Voltage-input circuits

  21. 2.2. Multiplier/divider circuits Voltage-input circuits Multiplier circuit (I)

  22. 2.2. Multiplier/divider circuits • Multiplier circuit (I) – block diagram

  23. 2.2. Multiplier/divider circuits • Multiplier circuit (I) – equivalent schematic

  24. 2.2. Multiplier/divider circuits • Realization of DA blocks

  25. 2.2. Multiplier/divider circuits Voltage-input circuits Multiplier circuit (II)

  26. 2.2. Multiplier/divider circuits • Multiplier circuit (II) Multifunctional core

  27. 2.2. Multiplier/divider circuits • Multiplier circuit (II) Multiplier schematic

  28. 2.2. Multiplier/divider circuits Current-input circuits

  29. 2.2. Multiplier/divider circuits Current-input circuitsMultiplier/divider circuit (III)

  30. 2.2. Multiplier/divider circuits • Multiplier/divider circuit (III)

  31. 2.2. Multiplier/divider circuits Current-input circuitsMultiplier/divider circuit (IV)

  32. 2.2. Multiplier/divider circuits • Multiplier/divider circuit (IV)

  33. 2. Fundamental CMOS computational structures 2.3. Euclidean distance circuits

  34. 2.3. Euclidean distance circuits Block diagram of the Euclidean distance circuit

  35. 2.3. Euclidean distance circuits Block diagram of the Euclidean distance circuit Block diagram

  36. 2.3. Euclidean distance circuits Euclidean distance circuit

  37. 2.3. Euclidean distance circuits Euclidean distance circuit

  38. 2.3. Euclidean distance circuits Euclidean distance circuit So: Similar: But: The IY current can be expressed as follows: resulting:

  39. 2. Fundamental CMOS computational structures 2.4. Active resistor structures

  40. 2.4. Active resistor structuresActive resistor structure with positive equivalent resistance (I)

  41. 2.4. Active resistor structures Active resistor structure with positive equivalent resistance (I)

  42. 2.4. Active resistor structuresActive resistor structure with negative equivalent resistance (I)

  43. 2.4. Active resistor structures Active resistor structure with negative equivalent resistance (I)

  44. 2.4. Active resistor structuresActive resistor structure with positive equivalent resistance (II) - - block diagram

  45. 2.4. Active resistor structures Active resistor structure with positive equivalent resistance (II) - - block diagram Resulting:

  46. 2.4. Active resistor structuresActive resistor structure with positive equivalent resistance (III) - - block diagram

  47. 2.4. Active resistor structures Active resistor structure with positive equivalent resistance (III) - - block diagram

  48. 3. Multifunctional structures

  49. 3. Multifunctional structuresVoltage-input circuits

  50. 3. Multifunctional structuresVoltage-input circuits Multifunctional circuit (I)

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