1.35k likes | 1.37k Views
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:
E N D
Theoretical Analysis of CMOS Computational Circuits for Analog Signal ProcessingProf. dr. ing. Cosmin Radu POPAMarch 2015
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
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
2. Fundamental CMOS computational structures 2.1. Squaring circuits
2.1. Squaring circuits Voltage-input circuits Squaring circuit (I)
2.1. Squaring circuits Squaring circuit (I) – general schematic
2.1. Squaring circuits Squaring circuit (I) – first realization
2.1. Squaring circuits Squaring circuit (I) – second realization
2.1. Squaring circuits Voltage-input circuits Squaring circuit (II)
2.1. Squaring circuits Squaring circuit (II)
2.1. Squaring circuits Current-input circuits Squaring circuit (III)
2.1. Squaring circuits Squaring circuit (III)
2.1. Squaring circuits Current-input circuits Squaring circuit (IV)
2.1. Squaring circuits Squaring circuit (IV)
2. Fundamental CMOS computational structures 2.2. Multiplier/divider circuits
2.2. Multiplier/divider circuits Voltage-input circuits Multiplier circuit (I)
2.2. Multiplier/divider circuits • Multiplier circuit (I) – block diagram
2.2. Multiplier/divider circuits • Multiplier circuit (I) – equivalent schematic
2.2. Multiplier/divider circuits • Realization of DA blocks
2.2. Multiplier/divider circuits Voltage-input circuits Multiplier circuit (II)
2.2. Multiplier/divider circuits • Multiplier circuit (II) Multifunctional core
2.2. Multiplier/divider circuits • Multiplier circuit (II) Multiplier schematic
2.2. Multiplier/divider circuits Current-input circuitsMultiplier/divider circuit (III)
2.2. Multiplier/divider circuits • Multiplier/divider circuit (III)
2.2. Multiplier/divider circuits Current-input circuitsMultiplier/divider circuit (IV)
2.2. Multiplier/divider circuits • Multiplier/divider circuit (IV)
2. Fundamental CMOS computational structures 2.3. Euclidean distance circuits
2.3. Euclidean distance circuits Block diagram of the Euclidean distance circuit
2.3. Euclidean distance circuits Block diagram of the Euclidean distance circuit Block diagram
2.3. Euclidean distance circuits Euclidean distance circuit
2.3. Euclidean distance circuits Euclidean distance circuit
2.3. Euclidean distance circuits Euclidean distance circuit So: Similar: But: The IY current can be expressed as follows: resulting:
2. Fundamental CMOS computational structures 2.4. Active resistor structures
2.4. Active resistor structuresActive resistor structure with positive equivalent resistance (I)
2.4. Active resistor structures Active resistor structure with positive equivalent resistance (I)
2.4. Active resistor structuresActive resistor structure with negative equivalent resistance (I)
2.4. Active resistor structures Active resistor structure with negative equivalent resistance (I)
2.4. Active resistor structuresActive resistor structure with positive equivalent resistance (II) - - block diagram
2.4. Active resistor structures Active resistor structure with positive equivalent resistance (II) - - block diagram Resulting:
2.4. Active resistor structuresActive resistor structure with positive equivalent resistance (III) - - block diagram
2.4. Active resistor structures Active resistor structure with positive equivalent resistance (III) - - block diagram
3. Multifunctional structuresVoltage-input circuits Multifunctional circuit (I)