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課程名稱： 訊號與系統
授課老師： 張文輝 (Room 809, Ext: 31826, [email protected])
課程助教： 李宗唐 [email protected]
劉耀蓬 [email protected]
吳沛馡 [email protected]
(Room 812A, Ext: 54516)
Office Hour： Tuesday & Wednesday, 11:00~12:00
課程網頁： http://a61.cm.nctu.edu.tw/course/system/
評分方式： Homework/Quizs (30%), Mid-term exam (35%), Final exam (35%)
教科書： Signals and Systems, A. Oppenheim and A. Willsky, Pearson, 2008
(高立圖書公司代理)
教學投影片： 參考王忠炫教授提供的教學資料
課程大綱:
1) Signals and systems: continuous-time (CT) and discrete-time (DT) representation,
basic system properties (linearity, time-invariance, stability, causality)
2) Linear time-invariant systems: convolution sum (DT), convolution integral (CT),
causal LTI systems described by differential and difference equations
3) Fourier series (FS) representation of periodic signals: DTFS and CTFS, filters
described by differential and difference equations
4) Continuous-Time Fourier Transform (CTFT): frequency-domain representation of
aperiodic and periodic signals, properties (duality, convolution, multiplication)
5) Discrete-Time Fourier Transform (DTFT): frequency-domain representation of
aperiodic and periodic signals, properties (duality, convolution, multiplication)
7) Sampling: Nyquist’s sampling theorem for band-limited signals, C/D and D/C,
discrete-time processing of continuous-time signals, changing the sampling rates
9) The Laplace transform: generalized CTFT analysis of unstable LTI systems, region
of convergence, geometric evaluation of the CTFT from the pole-zero plot, system
function algebra and block diagram representations
10) The z-transform: generalized DTFT analysis of unstable LTI systems, region of
convergence, geometric evaluation of the DTFT from the pole-zero plot, system
function algebra and block diagram representations
CTFT
xc (t )
(continuous-time)
continuous-time
LTI system
xc (t )
hc (t ), H c ( jΩ)
Χ c ( j Ω)
(continuous-frequency)
time-domain
sampling
(band-limited)
yc (t )
x[ n] = xc (t ) t = nT
(discrete-time)
xc (t )
C/D
x[n]
discrete-time
LTI system
h[n], H (e jω )
T
y[n]
yr (t ) = yc (t )
T
H eff ( jΩ) = H c ( jΩ)
DFT
D/C
DTFT
Χ (e jω )
(continuousfrequency)
frequency-domain
sampling
(time-limited)
Χ[k ] = Χ(e jω )
ω=
2π k
N
(discrete-frequency)