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ECE 568 code

Creation date：2024-05-04 15:09:48

Belonging category：计算机computer science

Tag ECE 568

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Sample ECE 568 Exam

Q1. Warm up Questions (10 points)
Q1(a). (1 point) Weak pull-up resistors in GPIO ports are used when the GPIO port is
configured as an output. True or False?
Q1(b). (1 point) For an 8-bit timer that is driven by a 4 MHz input clock, the maximum
time that can be measured is 64 microseconds, assuming no scaling is done. True or
False?
Q1(c). (2 points) Assume that bit 0 of a GPIO port (say, port C) is already configured as
an output pin. The purpose of the following C code is to clear bit 0 (i.e., set it to logic
low) without affecting any of the other bits of port C.
PORTC &= ???;
What numerical value should you use in the ??? position in the above line of code?
Give your answer as an unsigned 8-bit decimal integer between 0 and 255.
Q1(d). (2 points) Assume that bit 7 of a GPIO port (say, port C) is already configured as
an output pin. The purpose of the following C code is to set bit 7 to logic high without
affecting any of the other bits of port C.
PORTC ??? 128;
Which Python operator should you use in the ??? position in the above program?
Q1(e). (2 points) In at most 2 sentences, describe what an interrupt vector is?
Q1(f). (2 points) In at most 2 sentences, describe the main difference between the von
Neumann architecture and the Harvard architecture?
Q2. Serial Communication (6 points)
Q2(a). (2 points) State two disadvantages of synchronous serial communication
compared to asynchronous communication.
Q2(c). (4 points) In an asynchronous serial communication mechanism, explain how a
receiver can synchronize with an incoming data signal?
Q3. Simple Real-time Scheduling (10 points)
Q3(a). (5 points): Are the following tasks schedulable (i.e., all task deadlines are met)
using a static-priority based preemptive scheduling algorithm? Assume that there are no
overheads for context switching and no shared resources that can cause blocking. If so,
indicate the relative priorities that you would use for each task. Justify your answer.
Task Time Period (ms) Worst-case Execution Time (ms) Deadline (ms)
A 50 12 50
B 40 10 40
C 30 10 30
Q3(b). (5 points): Are the above tasks schedulable (i.e., all task deadlines are met) using
a dynamic-priority based preemptive scheduling algorithm? Assume that there are
no overheads for context switching and no shared resources that can cause blocking. If
so, indicate your priority assignment policy. Justify your answer.
Q5. Real-Time Scheduling with Complex Considerations (14 points):
A real-time operating system that uses preemptive fixed-priority scheduling, has to
contend with the following task-set as its workload. Each task is specified as the 3-tuple
(time period, worst-case execution time, deadline).
Task set: {(100, 20, 100), (150, 30, 150), (210, 105, 210), (400, 25, 400)}
In addition to the above tasks, there is an interrupt that occurs occasionally in the
system. Every time the interrupt occurs, the corresponding ISR has to be executed and
this takes 5 time units. Interrupts can occur at anytime with the constraint that the
minimum inter-arrival time between successive interrupts is 150 time units (i.e., once an
interrupt occurs, the next one will not occur within the next 150 time units).
Q5(a). Is the above task-set schedulable? Rigorously justify your answer.
Q5(b). Now assume that you also have the ability to speed up the CPU or slow it down.
However, you can only set the CPU speed once when the system starts (i.e., you cannot
change it while the system runs). Also assume that as the speed of the CPU scales, the
execution time of a task scales down by the same factor (for example, if the speed
doubles, the execution time is halved).
If you found (in part (a) above) that the task set was schedulable, calculate the largest
factor by which we can slow down the CPU while maintaining the schedulability of the
task set. Likewise, if the task set was not schedulable, calculate by what minimum factor
we must speed up the CPU so that the task set becomes schedulable.
Q6. (10 points): You are part of the design team of a battery-powered embedded system
that consists only of a CPU chip and a memory (RAM) chip. The system has some
power management features to help extend battery life. First, it supports a zero-power
shutdown mode into which the entire system can be placed. Assume that the overheads
of shutting down and waking up the system are negligible. Second, the CPU also
provides a choice of two different clock frequency and supply voltage settings that it
can be set to. Setting 1 uses a clock frequency of 1 MHz and a supply voltage of 2 Volts.
Setting 2 uses a clock frequency of 0.5 MHz and a supply voltage of 1 Volt.
The power consumption of the CPU as a function of the clock frequency and supply
voltage is given by the following equations:
When the system is in active mode When the system is in shutdown mode
PCPU = (50 × V2 × f) + (100 × V) PCPU = 0
PMEM = 200 PMEM = 0
where PCPU is the power consumed by the CPU (expressed in mW), V is the supply
voltage (expressed in Volts), f is the CPU clock frequency (expressed in MHz) and PMEM
is the power consumed by the memory chip (expressed in mW). Note that the memory
chip requires a supply voltage of 2 Volts and cannot operate at any other voltage.
Every 60 seconds, the system wakes up from shutdown mode into active mode and
executes an application, say A. After the application finishes executing, the system goes
back into shutdown mode. Application A takes 10 seconds to execute if the CPU runs at
a frequency of 1 MHz and 20 seconds to execute if the CPU runs at a frequency of 0.5
MHz, both of which are acceptable from a performance perspective.
Your team is debating how to minimize the total energy consumed by the embedded
system. One of your colleagues remembers his embedded systems professor telling him
that using a lower clock frequency and a lower supply voltage leads to lower power
consumption. Therefore, he proposes that the CPU should be operated at a frequency of
0.5 MHz and supply voltage of 1 Volt in order to minimize the energy consumed by the
system. Do you agree with his proposal? If so, why? If you do not agree, why not?
Clearly justify your answer.

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SVM. (10 points) Consider an SVM classifier using RBF kernel, and finish the following python code to search for the optimum kernel parameter γ. You are required to calculate the RBF function and search yourself, instead of using functions in Scikit-Learn (sklearn). def parameter search(gamma list ,Xtr,ytr,Xts,yts ,...): """ Parameters gamma list: A list of RBF kernel parameter gamma to search for Xtr: Training data, shape (ntr,nrow,ncol) ytr: Training labels, shape (ntr,) Xts: Test data, shape (nts,nrow,ncol) yts: Test labels, shape (nts,) ... Add other parameters as needed Returns: gamma optimum: The gamma with minimum error on Xts, yts """ ... return gamma optimum

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