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1、数字信号处理课后答案高西全、丁美玉版1.2 教材第一章习题解答1.用单位脉冲序列()n及其加权和表示 题 1 图所示的序列。解：()(4)2(2)(1)2()(1)2(2)4(3)0.5(4)2(6)x nnnnnnnnnn2.给定信号：25,41()6,040,nnx nn其它（1）画出()x n序列的波形，标上各序列的值；（2）试用延迟单位脉冲序列及其加权和表示()x n序列；（3）令1()2(2)x nx n，试画出1()x n波形；（4）令2()2(2)x nx n，试画出2()x n波形；（5）令3()2(2)x nxn，试画出3()x n波形。解：（1）x(n)的波形如 题 2 解
2、图（一）所示。（2）()3(4)(3)(2)3(1)6()6(1)6(2)6(3)6(4)x nnnnnnnnnn（3）1()x n的波形是 x(n)的波形右移 2 位，在乘以 2，画出图形如题 2 解图（二）所示。（4）2()xn的波形是 x(n)的波形左移 2 位，在乘以2，画出图形如题 2 解图（三）所示。（5）画3()x n时，先画 x(-n)的波形，然后再右移2 位，3()x n波形如题 2 解图（四）所示。3.判断下面的序列是否是周期的，若是周期的，确定其周期。（1）3()cos()78x nAn，A 是常数；（2）1()8()jnx ne。解：（1）3214,73ww，这是有理数
3、，因此是周期序列，周期是T=14；（2）1 2,168ww，这是无理数，因此是非周期序列。5.设系统分别用下面的差分方程描述，()x n与()y n分别表示系统输入和输出，判断系统是否是线性非时变的。（1）()()2(1)3(2)y nx nx nx n；（3）0()()y nx nn，0n为整常数；（5）2()()y nxn；（7）0()()nmy nx m。解：（1）令：输入为0()x nn，输出为0000000()()2(1)3(2)()()2(1)3(2)()y nx nnx nnx nny nnx nnx nnx nny n故该系统是时不变系统。12121212()()()()()2
4、(1)(1)3(2)(2)y nT ax nbx nax nbx nax nbx nax nbx n文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3
5、Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码
6、:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7
7、Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1
8、 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8
9、M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G1
10、0 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q1文档编码:CV4R7Y1G2I1 HO6Q8M4Q6G10 ZO9E10E1F3Q11111()()2(1)3(2)T ax nax nax nax n
11、2222()()2(1)3(2)T bx nbx nbx nbx n1212()()()()T ax nbx naT x nbT x n故该系统是线性系统。（3）这是一个延时器，延时器是一个线性时不变系统，下面予以证明。令输入为1()x nn，输出为10()()y nx nnn，因为110()()()y nnx nnny n故延时器是一个时不变系统。又因为12102012()()()()()()T ax nbx nax nnbx nnaT x nbT x n故延时器是线性系统。（5）2()()y nxn令：输入为0()x nn，输出为20()()y nxnn，因为200()()()y nnxn
12、ny n故系统是时不变系统。又因为21212122212()()()()()()()()T ax nbxnax nbxnaT x nbT x naxnbxn因此系统是非线性系统。（7）0()()nmy nx m令：输入为0()x nn，输出为00()()nmy nx mn，因为000()()()nnmy nnx my n文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5
13、 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9
14、 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文
15、档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9
16、P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5
17、B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R
18、4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3
19、W9P5 HK3H10G6R5B9 ZI5S4S7P5R4故该系统是时变系统。又因为1212120()()()()()()nmT ax nbxnax mbxmaT x nbT xn故系统是线性系统。6.给定下述系统的差分方程，试判断系统是否是因果稳定系统，并说明理由。（1）101()()Nky nx nkN；（3）00()()nnkn ny nx k；（5）()()x ny ne。解：（1）只要1N，该系统就是因果系统，因为输出只与n 时刻的和 n时刻以前的输入有关。如果()x nM，则()y nM，因此系统是稳定系统。（3）如果()x nM，000()()21n nkn ny nx knM，
20、因此系统是稳定的。系统是非因果的，因为输出还和x(n)的将来值有关.（5）系统是因果系统，因为系统的输出不取决于x(n)的未来值。如果()x nM，则()()()x nx nMy neee，因此系统是稳定的。7.设线性时不变系统的单位脉冲响应()h n和输入序列()x n如题 7图所示，要求画出输出输出()y n的波形。解：解法（1）:采用图解法文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编
21、码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5
22、 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9
23、 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文
24、档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9
25、P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5
26、B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R
27、4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R40()()()()()my nx nh nx m h nm图解法的过程如 题 7 解图所示。解法（2）:采用解析法。按照 题 7 图写出 x(n)和 h(n)的表达式:()(2)(1)2(3)1()2()(1)(2)2x nnnnh nnnn因为()*()()()*()()x nnx nx nAnkA x nk所以1()()*2()(1)(2)212()(1)(2)2y nx nnnnx nx nx n将 x(n)的表达式代入上式，得到()2(2)(1)0.5()2(1)(2)4.5(3)2(4)(5)y nn
28、nnnnnnn8.设线性时不变系统的单位取样响应()h n和输入()x n分别有以下三种情况，分别求出输出()y n。（1）45()(),()()h nR n x nR n；（2）4()2(),()()(2)h nR nx nnn；（3）5()0.5(),()nnh nu nxR n。解：（1）45()()*()()()my nx nh nRm R nm先确定求和域，由4()R m和5()R nm确定对于 m 的非零区间如下：03,4mnmn根据非零区间，将n 分成四种情况求解：文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5
29、HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9
30、ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档
31、编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P
32、5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B
33、9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4
34、文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W
35、9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R40,()0ny n003,()11nmny nn3447,()18m nny nn7,()0n y n最后结果为0,0,7()1,038,47nny nnnnny(n)的波形如 题 8 解图（一）所示。（2）444()2()*()(2)2()2(2)2()(1)(4)(5)y nR nnnR nR nnnnny(n)的波形如 题 8 解图（二）所示.（3）55()()*()()
36、0.5()0.5()0.5()n mnmmmy nx nh nR mu nmR mu nmy(n)对于 m 的非零区间为04,mmn。0,()0ny n11101 0.504,()0.50.50.5(1 0.5)0.520.510.5nnnmnnnnmny n54101 0.55,()0.50.50.531 0.51 0.5nmnnmn y n最后写成统一表达式：5()(20.5)()31 0.5(5)nny nR nu n文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码
37、:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5
38、HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9
39、ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档
40、编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P
41、5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B
42、9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4
43、文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R411.设系统由下面差分方程描述：11()(1)()(1)22y ny nx nx n；设系统是因果的，利用递推法求系统的单位取样响应。解：令：()()x nn11()(1)()(1)22h nh nnn2110,(0)(1)(0)(1)122111,(1)(0)(1)(0)122112,(2)(1)22113,(3)(2)()22nhhnhhnhhnhh归纳起来，结果为11()()(1)()2nh nu nn12.有一连续信号()c
44、os(2),axtft式中，20,2fHz（1）求出()ax t的周期。（2）用采样间隔0.02Ts对()ax t进行采样，试写出采样信号()ax t的表达式。（3）画出对应()ax t的时域离散信号(序列)()x n的波形，并求出()x n的周期。第二章教材第二章习题解答文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R
45、4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3
46、W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6
47、R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P
48、5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2
49、B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10
50、G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S7P5R4文档编码:CW6I2B3W9P5 HK3H10G6R5B9 ZI5S4S