1. Digital to Analog Converter for High Fidelity Audio Applications Matt Smith Alfred Wanga CSE598A

2. Project Summary High Quality Audio Applications –Accurate Reproduction [16 bit] –Low Noise Versatile –Support for Standard Sampling Rates –Specifications that allow use in Various Audio Applications

3. R-2R Ladder Architecture * Buffer inserted on output for low output impedance

4. D Flip Flop Schematic

5. D Flip-Flop Simulation Results CLK DIN Q QNOT

6. Pass Switch NMOS pass transistor only CMOS Transmission gate not needed because we don’t go near VDD Sized to allow proper operation

7. Voltage Reference

8. Voltage Reference Results Circuit modified from Homework #3 provides 2.5V and 1.1V voltage reference Reference output stable down to ~3.3V supply voltage 2.5V reference varies by 400mV over -40C to 85C (3.2 mV/˚C) 1.1V reference varies by 150mV over -40C to 85C (1.2 mV/˚C)

9. Voltage Reference Results Power supply rejection ratio is 48dB LSB accuracy corresponds with 7mV p-p supply noise

10. Resistor 400K resistor takes ~13,700 um 2 We used values of 400.010K, 200.005K, 16.146K, and 8.073K Resistors are a large part of area, but there is room to spare in the pad frame Using large resistors decreased power and tx_gate size

11. Output Buffer Unity gain opamp Open loop gain = 2560

12. Output Buffer The high end wasn’t a problem – we wouldn’t go that high But what to do about the low end?

13. Output Filter Noise peaks are up to 12LSB * Noise also decreased significantly by the addition of a 10uF capacitor from Vref to ground

14. Complete Design Schematic

15. 07 815 Source-follower and output buffer 200K resistors D - Flip Flops Bias Final Layout 400K resistors Transistor Switches Heavy-duty unity-gain buffer

16. Simulation Results - Overall Schematic simulation of the entire circuit

17. Simulation Results – Zoom-In Full-circuit simulation with all 16 bits operating. LSB increments are 28uV Noise on the vast majority of transitions is < 0.05 LSB

18. Simulation Results - Noise MSB transition point – momentary noise: 3.56mV (128LSB) Noise and non-linearity occur at significant bit transitions Trade-off between noise and non- linearity Tx_gates too small gives large non-linearity Tx_gates too large give large noise spikes Placing a huge capacitor (10uF) on the Vbias power line to the array helps transient noise Noise and non-linearity are worst for MSB and decrease by powers of 2 for less-significant bits

19. Simulation Results - Speed Fall time: 6.5us Rise time: 80ns Absolute maximum frequency where the circuit can achieve full amplitude is 1/(6.58us) = 152kHz Little distortion of full-amplitude square wave at the limit of human hearing (20kHz) No distortion of full-amplitude sine wave at 20kHz

20. Design Assessment Maximum output voltage: 3.441V Minimum output voltage: 1.604V Voltage swing: 1.836V LSB voltage change: 28uV Maximum Differential Non-linearity: 1LSB Integral Non-linearity: Approximately 16LSB Power consumption: 23.5mW

21. Future Work / Improvements Temperature stability (reference) Wide swing output Better low-pass filter would allow larger tx_gate and less integral non-linearity