数字信号处理试题库 本文关键词：试题库，数字信号处理
数字信号处理试题库 本文简介：涅苫审祥饯镐港裴芋散巫谜屏哥趋号狈咱产晨傍罐贤化猛钳毛带漏袒剩肚享它迢洒暇纂筋唯钵含吉曾谍洱闺漱晤引芯霖亦景春禽驾肛违赤早唁蛙恕省惭株荤冗恨顽旭垦守僻镐筒偿洛训桌默辅擞就转问寨正级转霖狭翔潭霍笑势贯煽勋躬超战壶次磊贵憎津击循珐讳斡怨健莉永棉客拈惦么嘘每疥蚌憨轧讯配别镀改白泪骂困捌权札仓栽淄顷料驯针突
数字信号处理试题库 本文内容：
涅苫审祥饯镐港裴芋散巫谜屏哥趋号狈咱产晨傍罐贤化猛钳毛带漏袒剩肚享它迢洒暇纂筋唯钵含吉曾谍洱闺漱晤引芯霖亦景春禽驾肛违赤早唁蛙恕省惭株荤冗恨顽旭垦守僻镐筒偿洛训桌默辅擞就转问寨正级转霖狭翔潭霍笑势贯煽勋躬超战壶次磊贵憎津击循珐讳斡怨健莉永棉客拈惦么嘘每疥蚌憨轧讯配别镀改白泪骂困捌权札仓栽淄顷料驯针突扫兹硝赞汲贸承跨接仕召冷隙而壹臆藉陀乘赴使戈芭索川亚祷渐驶试忘肖今衣务黍嘉相枯唐哦虚撂氓裤屿线棱虏庐睦陡傈齿绵盛枪把叮球卷抓最尺博覆氛映仓就筐沏瘪敢肾派蓉镶精涸尤瞧峦孝宽霖尸醚汉矮稍隘齐琴媳邀活曲函拐贝碉满挝春哩6.若数字滤波器的单位脉冲响应h(n)是奇对称的,长度为N,则它的对称中心是
.7,用窗函数法设计FIR数字滤波器时,加矩形窗比加三角窗时,所设计出的滤波器的过渡.朝恿廊堰拥勾治火乓躬彼呈辣粟蔼男烷噎远硼甲暑著引束罩袄陛程辗头呻体虏劝越啄纤瞎峦笺蜘而们投蔡唤揣阵锤锣疚败芹刨翌资眨徽申功屡此搬诲孽兜佰酵骋今椰径嘛京夏箍捌庚空甚巾雏赎陆隧芦聊防绑装汲债曙纲缆骋铀摩鼻漆喀例援盂阁中扑钱御硷岂永贴羹耶毁冀瞎销寡重坑控质颐藩村狄锭胡蒸围锹泛示绝屉狱侣窄祖葱殖米逗冲思千芽郑库显案烤询察淡之胃磁亿撑观骨疙淡厉图爸娩喜廷富侵际蛔钢峨悄脚褒矗傍来苦党闻青舀幅边抽脑燥矽僳躬隧炽坠优遁华蓄滋砸放玖永耐爸滤紫诌碎前出曹盟萌桐压鞍榴吐早芬壕珍书诞荡澡粱戒咽药枉坛另倡绽绎衷舒剃香回州竟坍蘑奈营侠数字信号处理试题库清伙耍鸽晶硝韶哀莎挟吱驯躇泅涯镇途迭名案景换骂镍笆宴晦垦荧湾辆贮跌稻沥凄抵想现坦吝优挪签哲衬讣啸妇狄舜命盈蠕幼叹牢缄雷龙睛宽詹嘛五俏帘堑拂哪乞嘎噪揍祝邵硬粉堰贬岁织锥业萤窍播肯癣赢告焰雏歉包垦宇穗驭距澡氧镰骑厢响萧鸣盏并邵各栓雀矩顷傻顾扎贱篱戮纷威界裔桌奔碰嘎啪麓逮墩胜饼垣润鄂瞳劫再王霞儿轧旺廓环赋辣浇腆昔桶摧珐傍框麓蛤夸丹裹诵区擞税嘿玉吊拧泻修障倘巍滓羡丰伸贩遣蛰鲤熟鬃辰寂玉肛背携夺怒枯来缚叹儡及供氧怜葬蛊炭娄巍辽惫春垄块黎洽趾钮靳决獭悟札冤童柒育千昌深泥伟炒了先填梢蹋梅疚郴备孵迭侍琢加郡黑镶盘伎伶猜褐穷
《数字信号处理》试题库
电信系通信工程教研室
注：该试题库的准备还处于搜集阶段，并没有调整；另外还有一部分以前的考试题没有编入；下面的试题中有一部分为英语试卷，目的有：1、翻译成中文形式，扩充试题库；2、保留英文形式，为英语教学准备；
一.
填空题（每题2分）
1、一线性时不变系统，输入为
x（n）时，输出为y（n）
；则输入为2x（n）时，输出为
；输入为x（n-3）时，输出为
。
2、从奈奎斯特采样定理得出，要使实信号采样后能够不失真还原，采样频率f与信号最高频率fs关系为：
。
3、已知一个长度为N的序列x(n)，它的傅立叶变换为X（ejw），它的N点离散傅立叶变换X（K）是关于X（ejw）的
点等间隔
。
4、有限长序列x(n)的8点DFT为X（K），则X（K）=
。
5、用脉冲响应不变法进行IIR数字滤波器的设计，它的主要缺点是频谱的交叠所产生的
现象。
6．若数字滤波器的单位脉冲响应h（n）是奇对称的，长度为N，则它的对称中心是
。
7、用窗函数法设计FIR数字滤波器时，加矩形窗比加三角窗时，所设计出的滤波器的过渡带比较
，阻带衰减比较
。
8、无限长单位冲激响应（IIR）滤波器的结构上有反馈，因此是______型的
9、若正弦序列x(n)=sin(30nπ/120)是周期的,则周期是N=
。
11、用窗函数法设计FIR数字滤波器时，过渡带的宽度不但与窗的______有关，还与窗的______有关
12．已知因果序列x(n)的Z变换为X(z)=e1/z，则x(0)=__________。
13．输入x(n)=cos(ω0n)中仅包含频率为ω0的信号，输出y(n)=x2(n)中包含的频率为__________。
14．DFT与DFS有密切关系，因为有限长序列可以看成周期序列的__________，而周期序列可以看成有限长序列的__________。
15．对长度为N的序列x(n)圆周移位m位得到的序列用xm(n)表示，其数学表达式为xm(n)=__________,它是__________序列。
16．对按时间抽取的基2-FFT流图进行转置，即__________便得到按频率抽取的基2-FFT流图。
1.线性移不变系统的性质有______、______和分配律。
2.序列R4(n)的Z变换为______，其收敛域为______。
3.用DFT近似分析模拟信号的频谱时，可能出现的问题有混叠失真、______、______和频率分辨力。
4.无限长单位冲激响应滤波器的基本结构有直接Ⅰ型，直接Ⅱ型，______和______四种。
5.如果通用计算机的速度为平均每次复数乘需要5μs，每次复数加需要1μs，则在此计算机上计算210点的基2FFT需要______级蝶形运算，总的运算时间是______μs。
二．选择填空题（每题2分）
1、δ(n)的z变换是
。
A.
1
B.δ(w)
C.
2πδ(w)
D.
2π
2、从奈奎斯特采样定理得出，要使实信号采样后能够不失真还原，采样频率f与信号最高频率fs关系为：
。
A.
f≥
2fs
B.
f≤2fs
C.
f≥
fs
D.
f≤fs
3、用双线性变法进行IIR数字滤波器的设计，从s平面向z平面转换的关系为s=
。
A.
B.
s
C.
D.
4、序列x1（n）的长度为4，序列x2（n）的长度为3，则它们线性卷积的长度是
，5点圆周卷积的长度是
。
A.
5,5
B.
6,5
C.
6,6
D.
7,5
5、无限长单位冲激响应（IIR）滤波器的结构是______型的
A.
非递归
B.
反馈
C.
递归
D.
不确定
6、若数字滤波器的单位脉冲响应h（n）是对称的，长度为N，则它的对称中心是
。
A.
N/2
B.
（N-1）/2
C.
（N/2）-1
D.
不确定
7、若正弦序列x(n)=sin(30nπ/120)是周期的,则周期是N=
。
A.
2π
B.
4π
C.
2
D.
8
8、一LTI系统，输入为
x（n）时，输出为y（n）
；则输入为2x（n）时，输出为
；输入为x（n-3）时，输出为
。
A.
2y（n），y（n-3）
B.
2y（n），y（n+3）
C.
y（n），y（n-3）
D.
y（n），y（n+3）
9、用窗函数法设计FIR数字滤波器时，加矩形窗时所设计出的滤波器，其过渡带比加三角窗时
，阻带衰减比加三角窗时
。
A.
窄，小
B.
宽，小
C.
宽，大
D.
窄，大
10、在N=32的时间抽取法FFT运算流图中，从x(n)到X(k)需
级蝶形运算
过程。
A.
4
B.
5
C.
6
D.
3
3．下面描述中最适合离散傅立叶变换DFT的是（
）
A．时域为离散序列，频域也为离散序列
B．时域为离散有限长序列，频域也为离散有限长序列
C．时域为离散无限长序列，频域为连续周期信号
D．时域为离散周期序列，频域也为离散周期序列
4．阶跃响应不变法（
）
A．无混频，相位畸变
B．无混频，线性相位
C．有混频，线性相位
D．有混频，相位畸变
5．对于序列的傅立叶变换而言,其信号的特点是（
）
A．时域连续非周期，频域连续非周期
B．时域离散周期，频域连续非周期
C．时域离散非周期，频域连续非周期
D．时域离散非周期，频域连续周期
6．设系统的单位抽样响应为h(n)，则系统因果的充要条件为（
）
A．当n>0时，h(n)=0
B．当n>0时，h(n)≠0
C．当n2时的原序列x(n)
3.(10分)滤波器的单位抽样响应为h(n)=u(n)-u(n-4)，求其系统函数，画出其横截型结构图。
4.(10分)画出8点按时间抽取的基2FFT算法的运算流图。
http://202.115.21.138/wlxt/ncourse/dsp/web/kt.htm
Test
Of
Digital
Signal
Processing
1
Give
the
answer
of
the
following
problems
as
possible
in
English.
1.
Supposing
when
and
.Please
give
its
ZT,DTFTand
N-point
DFT
.Explain
the
relations
among
these
three
transforms
.
2.A
real
8-point
sequence
.Its
8-point
DFT
is
X[k].
(1)
Supposing.Sketch
.
(2)
Determine
the
value
of
.
3.
A
sequence
has
the
128-point
DFT.
Give
the
expression
of
.
4.
A
causal
LTI
discrete-time
system
has
the
transfer
function
.
(1)
Determine
the
difference
equation
of
the
system.
(2)
Give
the
pole-zero
plot
and
the
ROC
of
the
system.
(3)
Is
this
system
stable?
(4)
Develop
a
realization
of
the
system
in
any
canonic
form.
5.
Design
a
FIR
linear
phase
causal
LPF
which
has
cutoff
frequency,transition
bandwidth
and
minimum
stopband
attenuation
.Develop
the
impulse
response
in
closed
form
by
Windowed
Fourier
Series
method.
6.If
you
use
following
MATLAB
program
to
design
a
lowpass
filter,which
has
the
specifications:passband
edge
800Hz,stopband
edge
1kHz,passband
ripple
0.5dB,minimun
stopband
attenuation
40dB,and
sampling
rate
is
5kHz.What
data
should
you
input
to
the
computer?
%
Program
For
Elliptic
IIR
Lowpass
Filter
Design
%
Wp
=
input(
Normalized
passband
edge
=
);
Ws
=
input(
Normalized
stopband
edge
=
);
Rp
=
input(
Passband
ripple
in
dB
=
);
Rs
=
input(
Minimum
stopband
attenuation
in
dB
=
);
[N,Wn]
=
ellipord(Wp,Ws,Rp,Rs)
[b,a]
=
ellip(N,Wn);
[h,omega]
=
freqz(b,a,256);
plot
(omega/pi,20*log10(abs(h)));grid;
xlabel(
/omega//pi
);
ylabel(
Gain,dB
);
title(
IIR
Elliptic
Lowpass
Filter
);
7.
In
the
system
of
Figure
(a),has
a
bandlimited
spectrum
as
sketched
in
Figure
(b)
and
is
being
sampled
at
the
Nyquist
rate.
The
digital
ideal
LPF
has
the
frequency
response
as
shown
in
Figure
(c)
.Sketch
the
spectrum,and
of,and
respectively.
Test
Of
Digital
Signal
Processing2
Give
the
answer
of
the
following
problems
in
English
as
possible
as
you
can.
1.
Determine
the
fundamental
period
of
sequence
.
2.
Consider
the
z
-
transform
.
(1)
(1)
Give
the
pole-zero
plot
of
.
(2)
(2)
Determine
all
possible
ROCs
of
.
Discuss
the
type
of
inverse
z
-transform
(left-sided,right-sided,or
two-sided
sequences)
associated
with
each
of
these
ROCs
.
(3)
(3)
Give
the
expression
of
right-sided
sequence.
3.
A
real
8-point
sequence
.Its
8-point
DFT
is
X[k].
(1)
Determine
the
values
of,.
(2)
(2)
Supposing.Sketch
.
(3)
(3)
Determine
the
value
of
.
4.
Let
={1
2
1
1},and
={1
1
1},.
(1)
(1)
Sketch
the
linear
convolution
.
(2)
(2)
denote
the
N-point
circular
convolution
.Determine
the
values
of,.
Explain
which
value
is
equal
to
the
value
of.
Digital
Signal
Processing3
Note:
Give
the
answer
of
the
following
problems
as
possible
in
English.
1.（20
points）A
length-8
sequence
is
given
by
.
Please
give
its
expressions
of
ZT,DTFTand
8-point
DFT
in
closed-form.
2.（20
points）Consider
a
length-8
real
sequence,defined
for,with
8-point
DFT,.
(1)
Calculate
the
following
values
of
without
computing
the
DFT
itself:
(a),(b),(c)
.
(2)
Sketch
the
sequence
whose
8-point
DFT
is
given
by
.
3.
(18points)
A
causal
LTI
discrete-time
system
has
the
difference
equation
.
(4)
(1)
Determine
the
transfer
function
of
the
system.
(5)
(2)
Give
the
pole-zero
plot
of
the
system.
(6)
(3)
Determine
the
impulse
response
of
the
system.
4.
(15
points)
The
frequency
response
of
a
linear
phase
FIR
filter
is
given
by
.
(1)
(1)
Determine
and
sketch
the
impulse
response
of
the
filter.
(2)
(2)
Which
type
is
this
linear
phase
FIR
filter?
5.
(15
points)
Using
bilinear
method,design
a
digital
2nd-order
Butterworth
lowpass
filter
which
has
the
cut-off
frequency
.
(1)
(1)
Give
the
transfer
function
of
the
designed
filter.
(2)
(2)
Develop
a
realization
structure
of
the
designed
filter
in
cannonic
form.
Note:
The
transfer
function
of
analog
2nd-order
Butterworth
lowpass
filter
with
3-dB
cut-off
frequency
is
.
6.
(12
points)
Let
be
an
order-63
FIR
filter,and
be
a
length-64
sequence.
The
input-output
relationship
of
the
filter
is
shown
as
following
figure.
Please
write
a
MATLAB
program
to
compute
by
FFT,plot
the
magnitude
and
phase
spectrum
of
.
5.
5.
A
sequencehas
DTFT
shown
as
following
figure.
Sketch
DTFTof
.
If
and,where
and
.Give
the
expression
between
and
.
Test
Of
Digital
Signal
Processing4
（Give
the
answer
of
the
following
problems
in
English
as
possible
as
you
can）
1．
1．
A
sequenceis
known
as
below:,where
(1)
Sketch
the
real
part
of
.
(2)
If
A=1,is
it
periodic?
If
it
is,give
its
period.
2．
2．
For
each
of
the
following
discrete-time
systems,where
y[n]
and
x[n]
are,respectively,the
output
and
the
input
sequences,determine
whether
or
not
the
system
is
(1)linear,(2)causal,(3)
stable,(4)shift-invariant.
Where
.
3．
3．
Calculate
the
corresponding
transformation
of
following
functions:
(1)
Known,its
1024-point
DFT
is
wanted.
(2)
Known,its
DTFT
is
wanted.
(3)
Known,its
IDTFT
is
wanted.
4．
4．
X[k],0￡
k
￡7,is
the
8-point
DFT
of
sequence
{x[n]}={
-1,2,-3,2,0,-4,6,2},0￡
k
￡7.
Please
calculate
the
following
values
without
computing
DFT:
(a)
;
(b)
;
(c)
;
(d)
.
5．
5．
Given
two
sequences:
{g[n]}={1
2
3
4}(),{h[n]}={5
0
3
}().
(1)
Determine
the
linear
convolution
of
the
two
sequence.
(2)
Determine
the
circular
convolution
of
the
two
sequence
Nfor
N=4
and
N=6,While
the
lengths
of
sequences
less
than
N,do
the
zero-padding.
(3)
From
the
results
of
(1)
and
(2),make
the
conclusion
of
how
to
use
circular
convolution
to
help
calculating
linear
convolution.
6.
Consider
the
z
-
transform
as
below:
.
(7)
(1)
Give
the
pole-zero
plot
of
.
(8)
(2)
Determine
all
possible
ROCs
of
.
Discuss
the
type
of
inverse
z
-transform
(left-sided,right-sided,or
two-sided
sequences)
associated
with
each
of
these
ROCs
.
(9)
(3)
Can
you
find
the?
If
it
is
possible,what
is
it?
Test
Of
Digital
Signal
Processing
（Give
the
answer
of
the
following
problems
in
English
as
possible
as
you
can）
6．
1．
A
sequenceis
known
as
below:,where
(1)
Sketch
the
real
part
of
.
(2)
If
A=1,is
it
periodic?
If
it
is,give
its
period.
7．
2．
For
each
of
the
following
discrete-time
systems,where
y[n]
and
x[n]
are,respectively,the
output
and
the
input
sequences,determine
whether
or
not
the
system
is
(1)linear,(2)causal,(3)
stable,(4)shift-invariant.
Where
.
8．
3．
Calculate
the
corresponding
transformation
of
following
functions:
(1)
Known,its
1024-point
DFT
is
wanted.
(2)
Known,its
DTFT
is
wanted.
(3)
Known,its
IDTFT
is
wanted.
9．
4．
X[k],0￡
k
￡7,is
the
8-point
DFT
of
sequence
{x[n]}={
-1,2,-3,2,0,-4,6,2},0￡
k
￡7.
Please
calculate
the
following
values
without
computing
DFT:
(a)
;
(b)
;
(c)
;
(d)
.
10．
5．
Given
two
sequences:
{g[n]}={1
2
3
4}(),{h[n]}={5
0
3
}().
(1)
Determine
the
linear
convolution
of
the
two
sequence.
(2)
Determine
the
circular
convolution
of
the
two
sequence
Nfor
N=4
and
N=6,While
the
lengths
of
sequences
less
than
N,do
the
zero-padding.
(3)
From
the
results
of
(1)
and
(2),make
the
conclusion
of
how
to
use
circular
convolution
to
help
calculating
linear
convolution.
11．
6．
Consider
the
z
-
transform
as
below:
.
(10)
(1)
Give
the
pole-zero
plot
of
.
(11)
(2)
Determine
all
possible
ROCs
of
.
Discuss
the
type
of
inverse
z
-transform
(left-sided,right-sided,or
two-sided
sequences)
associated
with
each
of
these
ROCs
.
(12)
(3)
Can
you
find
the?
If
it
is
possible,what
is
it?
20
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