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The final exam for eecs 145m: microcomputer interfacing lab at the university of california, berkeley. The exam covers various topics related to digital to analog and analog to digital conversion, circuit design, and signal processing. Students are required to answer questions related to digital to analog converters, analog comparators, flash a/d converters, sample-and-hold amplifiers, and designing circuits to eliminate glitches.
Typology: Exams
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page 1 S. Derenzo NAME (please print) STUDENT (SID) NUMBER
College of Engineering Electrical Engineering and Computer Sciences
Total of top 4 Long Lab Grades Total of top 4 Short Lab Grades Lab Participation Mid-Term # Mid-Term # Final Exam Total Course Grade _______________ (400 max) _______________ (100 max) _______________ (100 max) _______________ (100 max) _______________ (100 max) _______________ (200 max) _______________ (1000 max)
Answer the questions on the following pages completely, but as concisely as possible. The exam is to be taken closed book. Use the reverse side of the exam sheets if you need more space. Calculators are OK. Partial credit can only be given if you show your work. FINAL EXAM GRADE : 1 __________ (40 max) 2 __________ (25 max) 3 __________ (25 max) 4 __________ (50 max) 5 __________ (60 max) TOTAL __________ (200 max)
PROBLEM 1 (total 40 points) Describe briefly how the following devices work (not just their definition): 1a (10 points) Digital to Analog converter (ladder or R-2R, your choice) 1b (10 points) Analog comparator
PROBLEM 2 (total 25 points) You have just tested an 8-bit D/A circuit by making measurements of its output glitches. You find that after a change in input at time t , the output glitch begins no earlier than t + 10 ns and is gone after t + 30 ns. The output ranges from V 1 = 0 volts to V 255 = 2.55 volts. Design a circuit that eliminates glitches and has accurate conversion at 0 Hz. You have available the following components:
- A digital circuit that has 8 inputs and one output (normally low). If the input bits change at time t, the output goes high from (t + 5 ns) to (t + 5 ns + td). You need to choose the value of td. - A sample-and-hold amplifier with an analog input, and analog output, and a digital control line. When the control line is low, the analog output V 0 (t) is equal to the analog input V 1 (t). When the control line is made high at time th, the analog output is initially held at V 1 (th), but has an output droop rate of 100 mV per second. Do the following: 2a (15 points) Draw a block diagram of your circuit design, showing and labeling all essential components and connections.
2b (10 points) Briefly describe the operation of your circuit after a change in input. PROBLEM 3 (total 25 points) You have a 16-bit successive approx A/D converter with 10 μs conversion time. 3a (10 points) What is the maximum frequency sinewave that changes less than 1/2 LSB during the conversion time? 3b (10 points) If you use a sample-and-hold amplifier, what is the time jitter requirement that would result in accurate sampling at the maximum conversion rate? 3c (5 points) Assuming the solution to 3b, what is the maximum frequency that can be accurately sampled (as limited by the Nyquist sampling theorem)?
4a (25 points) Sketch your design, showing and labeling all essential components and lines. (You only need to show two touch plate switches, timing circuits and speakers.)
4b (25 points) Describe the events (hardware and software) that must take place from the start of the race to when the last swimmer finishes and the results are displayed.
5c (25 points) List the necessary steps for determining the digital filter b[i] so that if an analog electrical waveform a ( t ) is sampled at 100 kHz, filtered with b[i], and the filter output is sent to the loudspeaker, then the acoustic waveform of the loudspeaker is a close representation of a ( t ) for frequencies between 20 Hz and 20 kHz. 5d (15 points) Sketch the block diagram of a system that implements the procedure of part 5c. Show and label all essential components and lines.