EE105
---- Signals, Systems and Transforms, Spring 2001
Homework #9
(For Self-Study Only)
Reading assignment:
Read Chapter 5. You can skip Secs. 5.2, 5.7
Problems (in the texbook)
Prob. 5.1
Prob. 5.2
Prob. 5.5
Prob. 5.12
Prob. 5.21 (a),(f)
Prob. 5.30 (a),(b)(i)(ii)
Prob. 5.33 (a)(i),(b)(i)
Prob. 5.34
Announcement: We will have the second Midterm
Exam on 4/3 (Tuesday) at the recitation hour, 12:00-12:50PM,
RH115B. The materials to be covered include
Fourier series (Chap 3): how to determine
the Fourier series coefficients from a given periodic signal, how to synthesize
a signal from its Fourier series representation, properties of Fourier
series including simplification of calculation for even and odd functions.
Properties of function e^{jwt} as an eigen function of a LTI system, and
how to determine the frequency response of a differential equation system
using this property. Secs. 3.6, 3.7 (Fourier series for discrete time periodic
signals) are not required.
Continuous time Fourier transform (Chap 4):
how to determine forward and inverse transforms, relation between Fourier
series coefficiens and Fourier transform for a periodic signal, properties
of Fourier transforms, convolution and multiplication properties, Fourier
transform of common signals (pulse, delta, e^{jwt}, constant, sinusoid,
e^{-at}u(t), etc.) and their duality. Find the inverse Fourier transform
by partial fraction expansion, solution of differential equation systems
using Fourier transforms.
Discrete time Fourier transform (Chap 5):
how to determine forward and inverse transforms, periodicity of DTFT, properties
of DTFT, convolution and multiplication properties, Fourier transform of
common signals (pulse, delta, e^{jwn}, constant, sinusoid, e^{-an}u(n),
etc.) and their duality. Find the inverse Fourier transform by partial
fraction expansion, solution of difference equation systems using Fourier
transforms. Sec. 5.2 (DTFT for periodic signal) and 5.7 (Duality between
DTFT and Fourier series) not required