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Unformatted text preview: 8&(Vb‘ll‘0‘4 (SC MFJ+€FM Name:
Student Number #:
City University of Hong Kong E
Department of Electronic Engineering if:
EE 3210 Systems and Signals
Midterm Quiz 2
NOTE: 1. 1. This is a 1.5hour, open book, open notes midterm test.
2. There are 4 problems altogether, which amount to 20 points. 3. In addition to ﬁnal answers, you need to include necessary steps to show your derivations. An 1/
answer without any supporting development will unlikely be awarded with a point. You do E receive partial credits if you write down the steps despite that you may not complete your 3
solution. ' 4. Write your work in the blank space. If necessary, write on the back sheet. _ E;
5. Enjoy the test, and good luck! 1. (4 pts) Suppose that a:(t) is a periodic signal with a, fundamental period Tm. Let
y(t) = :1:(—at + b), a > 0.
‘ Show that the exponential Fourier coefﬁcients for y(t) are given by
311: = z—ke’jm’b. Where w; = 27r/Tz, and an; are the exponential Fourier coeﬁicients for $(t). ALSW'AK (Ikeu: *5 Maxi! Werh‘m
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for this system. (iii) Suppose that an input signal m(t) = e'ztu(t) is applied. Determine the output response. ' Solut'o’m: 1 . ) . ﬂ
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(Ft mow £316 ”a“ 50”” 5K (5 pts) The Fourier transform of a certain signal a:(t) is given in the following ﬁgure. Find z(t)
without performing any integration. ' 4. (5 pts) A continuoustime system is determined by the following integraldiﬁerential equation (ZZZ/(t) dt2 + 3y(t — 1) +/o1t y('r)dT— — that) — :c(t), which relates the input 2(t) to the output y(t). Find the transfer function H (jw) for this
system. So [wtma A
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 Fall '14

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