Digital Processing and Applications (CSCT5105)

Computer Science - COS

Semester: Resit

Level:

Year: 2015

SCHOOL: H.T.T.T.C DEPARTEMENT: CS LECTURER(S): Mr. ATANGANA ROMAIN
COURSE CODE: COURSE TITLE: TEECHNIQUE OF SIGNAL PROCESSING OPTION: FCS 400
DATE: SEPT 2015 HALL: …….. TIME: 1 H 30MINS NATURE: Resit Exam
INSTRUCTION: Answer all these questions.
Question 1: 40 mks
Find the complex Fourier series for a function defined in the interval
0<t<1 by
𝒇
(
𝒕
)
={
𝒕 𝟎<𝒕<
𝟏
𝟐
⁄
𝟎
𝟏
𝟐
⁄ <𝒕<𝟏
Question2: 30 mks
Find the solution q (t) of the differential equation using the Laplace
transform.
𝟐𝟎𝟎𝟎
𝒅𝒒
𝒅𝒕
+
𝒒
𝟎.𝟎𝟎𝟏
=πŸ‘ π’˜π’Šπ’•π’‰ 𝒒
(
𝟎
)
=𝟎
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