lecture 15: digital to analog converters lecturers: professor john devlin mr robert ross
TRANSCRIPT
Lecture 15: Digital to Analog Converters
Lecturers:Professor John Devlin
Mr Robert Ross
Overview
• Introduction to DACs
• Types of DACs
• Applications of DACs
• Further Reading:– R.J. Tocci, Digital Systems, Principles and
Applications, Prentice Hall (Chapter 10)
Interfacing with the analog world
Introduction DACs
• The real world is full of analog, continuous signals
• Microprocessors use digital electronics (discrete binary values) for processing
• Digital to Analog Converters (DAC or D/A) convert discrete digital numbers into continuous-like analog signals – allowing digital electronics to output real world analog signals
• DAC’s are ‘Mixed Signal Devices’ as they combine analog circuits with DSP
• Reverse of the operation of the ADC (Analog to Digital Converter)
Digital to analog conversion
• Convert a digital value to a proportional current or voltage.
• Vref is used to set the full scale output.
DAC Specifications
• Resolution: The smallest possible change that can occur in the analog output due to a change in the digital input (Step Size)
• Offset Error: Signal may be artificially offset, yet remain linear
• Linearity: How much two adjacent analog values deviate from the ideal 1LSB step
DAC Specifications
• Monotonicity: Direction of change the same – input increases = output increases
Monotonic Function Non-Monotonic Function
Resolution
Calculating the Resolution
12
n
fsAKResolution = Afs: Analog full scale voltage
n: Number of bits
Calculations
Analog Output = K X Digital Input
12
n
fsAKResolution = Afs: Analog full scale voltage
n: Number of bits
Digital Input = Analog Output / K
Types of DACs
• R-2R Ladder
• Pulse Width Modulation (PWM)
• Binary Weighted
• Thermometer coded
Pulse Width Modulation DAC
• Pulse Width Modulation (PWM)
• The duty cycle of a square wave is modulated, thereby altering the average voltage of the waveform
• Period remains constant
R-2R Ladder
• Resistor Ladders (or R-2R Ladders) is the simplest DAC
• Operates as an array of voltage dividers
• Requires one output pin for each bit of resolution
• Requires well matched resistors
• Voltage spikes at major crossings (eg. 01111->10000)
Binary Weighted
• Contains a resistor for each bit of the DAC
• Resistors are arranged in binary decades
• All resistors fed into a summing point
• Difficult to produce – with accurate resistors for each binary bit
Binary Weighted
Thermometer coded
• A resistor or current source for each possible value of the DAC Output
• 8 bit DAC would have 256 resistors
• Fast and high precision, but very expensive
DAC Applications
• Audio– CD Players– MP3 Players
• Video– DVD – Analog TV
• Signal Generators– Ramp Function– Sine Wave
Waveform Generation
• Waveforms can be generated by supplying digital representations of the desired analog output
Summary
• Digital to Analog converters allow digital electronics to output signals which are similar to real world continuous signals
• Pulse Width Modulation is a simple and widely used high resolution technique for implementing DACs