College of Engineering- Telecommunication Engineering Department
ECTE 450 Digital signal Processing
First Semester: 2023 - 2024
Midterm Exam
Date: Wednesday November 8, 2023
Time: 1 hour 30min
Instructor: Dr. Ali Harmouch
Student Name
Student ID
Student
Signature
Instructions for students
1. Write your name and student ID on the answer sheet.
2. Answer all the questions on papers (Hand-written only).
3. Read and follow the instructions very carefully.
4. By the end of the assignment, you will submit your answers to the instructor.
5. The exam consists of 11 pages including the cover sheet.
Questio Given
Marks ILO
n Marks
A1, B2,
Q1 30
C1
A1, B1,
Q2 20
C1
Q3 15 B1, C2
Q4 15 B1, C1
Q5 20 B1, C1
100
Total
Page | 1
, Q1 (ILOs measured: A1, B2, C1) [30 marks]
Consider a continuous time signal x(t) that is to be sampled using the Impulse – Train Sampling Model with
a sampling frequency fs [Hz]. The spectrum of the signal x(t) is given as shown in the figure below:
a- What is the maximum frequency of the message signal x(t)? (3 marks)
b- What is the minimum sampling frequency needed that satisfies Nyquist theorem? ( 3 marks)
c- Using the Impulse – Train Sampling Model, with a sampling frequency f s =15 Hz, express and plot
the spectrum of the sampler output indicating all numerical values. (6 marks)
Page | 2
ECTE 450 Digital signal Processing
First Semester: 2023 - 2024
Midterm Exam
Date: Wednesday November 8, 2023
Time: 1 hour 30min
Instructor: Dr. Ali Harmouch
Student Name
Student ID
Student
Signature
Instructions for students
1. Write your name and student ID on the answer sheet.
2. Answer all the questions on papers (Hand-written only).
3. Read and follow the instructions very carefully.
4. By the end of the assignment, you will submit your answers to the instructor.
5. The exam consists of 11 pages including the cover sheet.
Questio Given
Marks ILO
n Marks
A1, B2,
Q1 30
C1
A1, B1,
Q2 20
C1
Q3 15 B1, C2
Q4 15 B1, C1
Q5 20 B1, C1
100
Total
Page | 1
, Q1 (ILOs measured: A1, B2, C1) [30 marks]
Consider a continuous time signal x(t) that is to be sampled using the Impulse – Train Sampling Model with
a sampling frequency fs [Hz]. The spectrum of the signal x(t) is given as shown in the figure below:
a- What is the maximum frequency of the message signal x(t)? (3 marks)
b- What is the minimum sampling frequency needed that satisfies Nyquist theorem? ( 3 marks)
c- Using the Impulse – Train Sampling Model, with a sampling frequency f s =15 Hz, express and plot
the spectrum of the sampler output indicating all numerical values. (6 marks)
Page | 2
