Docsity
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Docsity AI
Docsity AI
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search for your university

Find the specific documents for your university's exams

Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

Engineering (Honours) Exam: Mathematics & Digital Signal Processing, Exams of Digital Signal Processing

Dr. Bhim Rao Ambedkar UniversityDigital Signal Processing

A past exam paper from the cork institute of technology for the bachelor of engineering (honours) in electronic engineering program. The exam focuses on mathematics and digital signal processing, specifically sampling and quantization, digital signal processing, and filter design. Students are required to answer one question from each section, with all questions carrying equal marks. The exam lasts for 1.5 hours and is overseen by dr. J. Connell, prof. G. Hurley, and dr. S. Foley.

Typology: Exams

2012/2013

Uploaded on 03/30/2013

lakshya
lakshya 🇮🇳

4.5

(57)

161 documents

1 / 3

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Cork Institute of Technology
Bachelor of Engineering (Honours) in Electronic Engineering- Award
(NFQ Level 8)
Autumn 2006
Mathematics And Digital Signal Processing
(Digital Signal Processing)
(Time: 1.5 Hours)
Answer ONE question from EACH section.
All questions carry equal marks.
Examiners: Dr. J. Connell
Prof. G. Hurley
Dr. S. Foley
Section A
Q1. (a) Outline how the processes of sampling and quantisation can result in the loss of
information during analogue-digital conversion. (8 marks)
(
b) Assuming a periodic analogue signal with bandwidth a
f is sampled at a frequency s
f
where as ff 2>, sketch possible amplitude spectra for both )(tx and )(nx . (6 marks)
(
c) An analogue signal )
3
50sin(3)
4
40sin(42)(
π
π
π
π
−+−−= tttx is sampled at
Hzfs100=. What is
ω
for each of the components in x ? What does this value mean?
(4 marks)
What is N for the sequence of samples produced. Evaluate )1(x. (3 marks)
Write down another expression for )(tx in the frequency range 150100 << fHz
which would produce an identical sequence of samples if similarly sampled at
Hzfs100=. (4 marks)
pf3

Partial preview of the text

Download Engineering (Honours) Exam: Mathematics & Digital Signal Processing and more Exams Digital Signal Processing in PDF only on Docsity!

Cork Institute of Technology

Bachelor of Engineering (Honours) in Electronic Engineering- Award

(NFQ Level 8)

Autumn 2006

Mathematics And Digital Signal Processing

(Digital Signal Processing)

(Time: 1.5 Hours)

Answer ONE question from EACH section. All questions carry equal marks.

Examiners: Dr. J. Connell Prof. G. Hurley Dr. S. Foley

Section A

Q1. ( a) Outline how the processes of sampling and quantisation can result in the loss of information during analogue-digital conversion. (8 marks) ( b) Assuming a periodic analogue signal with bandwidth f (^) a is sampled at a frequency fs where f (^) s > 2 fa , sketch possible amplitude spectra for both x ( t )and x ( n ). (6 marks)

( c) An analogue signal x ( t )= 2 − 4 sin( 40 π t −π 4 )+ 3 sin( 50 π t −^ π 3 )is sampled at

f (^) s = 100 Hz. What is ω for each of the components in x? What does this value mean? (4 marks) What is N for the sequence of samples produced. Evaluate x ( 1 ). (3 marks) Write down another expression for x ( t )in the frequency range 100 < f < 150 Hz which would produce an identical sequence of samples if similarly sampled at f (^) s = 100 Hz. (4 marks)

Q2. (a) The 4-point spectrum of a periodic digital signal is given by:

X ( k )=[− 3 4 − j 2 5 4 + j 2 ] Using these values, specify the actual spectral components in x ( n ), their digital frequency, amplitude and phase. (9 marks) Evaluate one period of x ( n )using the Radix-2 IFFT flow diagram. (7 marks) Evaluate the time domain and frequency domain energies and show how they are related. (4 marks)

(b) If the samples in a) are sent to a DAC at a rate of 80 samples/sec, write down an expression for the signal x ( t )thus produced. (5 marks)

Section B

Q3. (a) What is meant by the term “linear phase” in relation to filters? What is the prerequisite for a filter to have a linear phase characteristic? (4 marks) (b) Design a seventh order, nonrecursive, lowpass filter with a passband gain of H ( ej ω)= 1 using a Hamming window. The filter cutoff frequency is 1250Hz. Assume the input signal is being sampled at 10kHz. (15 marks) (c) Describe the characteristics of the filter response in b) both in amplitude and phase terms. Calculate the phase response of the filter at 750Hz. (6 marks)