多选题1分 设置 Select the correct description about system: y[n]=glnlxIn]. The system is Linear. B The system is Time-Invariant. The system is Memoryless. The system is Causal. If ]is the Impulse response of the system,and the system is given an input n], then the system have the output y[n=hn)]*x列]， 注：hMn]=g0]on h[n]*x[n]=g[0]8[n]*x[n]=g[o]x[n] 提交 Biomedical Engineering_Shandong Univ
2 10/18/2022 Zhongguo Liu_Biomedical Engineering_Shandong Univ. Select the correct description about system: The system is Linear. The system is Time-Invariant. The system is Memoryless. The system is Causal. A B C D 提交 If is the Impulse response of the system , and the system is given an input , then the system have the output . E y n g n x n = [ ] [ ]. y n h n x n = [ ] [ ]. h n[ ] x n[ ] h n x n g n x n g x n [ ] [ ] [0] [ ] [ ] [0] [ ] = = 注: [ ] [0] [ ] h n g n = 多选题 1分 multiple choice
多选题1分 设置 Select the correct description about the frequency of the signal x[n]=Acos(@on) A @o =00 is the highest frequency. B @=2z is the highest frequency. @=x is the highest frequency. 00 =π is the lowest frequency. @=2z is the lowest frequency. =0 is the lowest frequency. G 3xis lower frequency than @ △A H is higher frequency than 3 提交 3 10/18/2022 Zhongguo Liu_Biomedical Engineering_Shandong Univ
3 10/18/2022 Zhongguo Liu_Biomedical Engineering_Shandong Univ. Select the correct description about the frequency of the signal . is the highest frequency. is the highest frequency. is the highest frequency. is the lowest frequency. A B C D 提交 0 x n A n [ ] cos( ) = 0 = 0 = 2 0 = E is the lowest frequency. F is the lowest frequency. 0 = 0 = 2 0 = 0 G is lower frequency than . H is higher frequency than . 0 3 4 = 0 7 4 = 0 3 4 = 0 7 4 = 多选题 1分 multiple choice
多选题1分 设置 Select the correct description about a stable LTI system: the impulse response is absolutely summable S=∑h[k]<∞ k=-00 B the impulse response is not absolutely summable S=∑h[k]→o If the input x[n≤B<oo,for all n, Then the outputy[n]<B,<co,forall n. Stability:Bounded-Input Bounded-Output (BIBO) 提交 4 10/18/2022 Zhongguo Liu_Biomedical Engineering_Shandong Univ
k S h k =− = 4 10/18/2022 Zhongguo Liu_Biomedical Engineering_Shandong Univ. Select the correct description about a stable LTI system: the impulse response is absolutely summable the impulse response is not absolutely summable If the input A B C 提交 =− = → k S h k , , x x n B for all n , . y Then the output y n B for all n multiple choice Stability: Bounded-Input Bounded-Output (BlBO). 多选题 1分
多选题1分 设置 Select the correct description about a causal LTI system: the impulse response h[n]=0,when n. if x[n]=x[n],for n<no, then y[n]=y2[n],for n<no. 提交 5 10/18/2022 Zhongguo Liu_Biomedical Engineering_Shandong Univ
5 10/18/2022 Zhongguo Liu_Biomedical Engineering_Shandong Univ. Select the correct description about a causal LTI system: the impulse response the impulse response the impulse response A B C 提交 multiple choice h n n = 0, 0. when 0 h n n n = 0, 0. when h n n 0, 0. when D the impulse response E h n n = 0, 0. when 1 2 0 if for x n x n n n [ ] [ ], , = 1 2 0 then for y n y n n n [ ] [ ], . = 多选题 1分
单选题1分 设置 For a system with the input and output satisfying a linear constant-coefficient difference equation, ∑ayn-k]=∑bxn-ml k=0 m=0 If the system is initially at rest,then the system: A is LTI but noncausal system; is LTI and causal system; may not be LTI; D is definitely not LTI system. 提交 6 10/18/2022 Zhongguo Liu_Biomedical Engineering_Shandong Univ
6 10/18/2022 Zhongguo Liu_Biomedical Engineering_Shandong Univ. For a system with the input and output satisfying a linear constant-coefficient difference equation, If the system is initially at rest, then the system: is LTI but noncausal system; is LTI and causal system; may not be LTI; is definitely not LTI system. A B C D 提交 = = − = − M m m N k ak y n k b x n m 0 0 单选题 1分
单选题1分 设置 For a system with the input and output satisfying a linear constant-coefficient difference equation, N ayln-k]=∑bxn-ml k=0 m=0 if the system is specified to be linear,time-invariant and causal,then the output for a given input is: not uniquely specified uniquely specified. 提交 7 10/18/2022 Zhongguo Liu_Biomedical Engineering_Shandong Univ
7 10/18/2022 Zhongguo Liu_Biomedical Engineering_Shandong Univ. For a system with the input and output satisfying a linear constant-coefficient difference equation, if the system is specified to be linear, time-invariant, and causal, then the output for a given input is: not uniquely specified; uniquely specified. A B 提交 = = − = − M m m N k ak y n k b x n m 0 0 单选题 1分
单选题 1分 设置 For a system with the input and output satisfying a linear constant-coefficient difference equation, ∑an-k-之bn-m k=0 m=0 if the system is specified to be linear,time-invariant, and causal,the auxiliary conditions (initia/-rest conditions,初始松弛条件)are needed, they are: if x[nj=0,forn<0,theny n]=0,forn<0. ifx[n=0,forn<,theny[刀=0，orn<. 提交 8 10/18/2022 Zhongguo Liu_Biomedical Engineering_Shandong Univ
8 10/18/2022 Zhongguo Liu_Biomedical Engineering_Shandong Univ. For a system with the input and output satisfying a linear constant-coefficient difference equation, if the system is specified to be linear, time-invariant, and causal, the auxiliary conditions (initial-rest conditions,初始松弛条件) are needed, they are: A B 提交 = = − = − M m m N k ak y n k b x n m 0 0 if x n for n n then y n for n n = = 0 0 , , , . 0 0 if x n for n then y n for n = = 0 0 0 0 , , , . 单选题 1分
Chapter 2 Discrete-Time Signals and Systems Review of Chapter 2 2.1 Discrete-Time Signals:Sequences High and Low Frequencies in Discrete-time signal 2.2 Discrete-Time Systems Memoryless (memory);Linear;Time-Invariant; Causality;Stability(BIBO) 2.3 Linear Time-Invariant (LTI)Systems ◆LTI Systems:Convolution(yn=g[n][n]系统适用吗？) 2.4 Properties of LTI Systems Stability and Causality of LTI systems;FIR and IIR systems; Impulse response of LTI systems; Inverse system 9
9 Chapter 2 Discrete-Time Signals and Systems Review of Chapter 2 ◆2.1 Discrete-Time Signals: Sequences ◆High and Low Frequencies in Discrete-time signal ◆2.2 Discrete-Time Systems ◆Memoryless (memory); Linear; Time-Invariant; Causality; Stability(BIBO) ◆2.3 Linear Time-Invariant (LTI) Systems ◆LTI Systems:Convolution( 系统适用吗?) ◆2.4 Properties of LTI Systems ◆Stability and Causality of LTI systems;FIR and IIR systems; y n g n x n = [ ] [ ] Impulse response of LTI systems; Inverse system
Chapter 2 Discrete-Time Signals and Systems Review of Chapter 2 2.5 Linear Constant-Coefficient Difference Equations .The output for a given input is not uniquely specfied Auxiliary conditions are required;initial-rest conditions Is the system LTI Example2.l6(第二版) 2.6 Frequency-Domain Representation of Discrete- Time Signals and systems Eigenfunction and Eigenvalue for LTI systems 2.7 Representation of Sequences by Fourier Transforms 2.8 Symmetry Properties of the Fourier Transform 2.9 Fourier Transform Theorems 2.10 Discrete-Time Random Signals 10
10 Chapter 2 Discrete-Time Signals and Systems Review of Chapter 2 ◆2.5 Linear Constant-Coefficient Difference Equations ◆The output for a given input is not uniquely specified. Auxiliary conditions are required; initial-rest conditions ◆2.6 Frequency-Domain Representation of DiscreteTime Signals and systems ◆ Eigenfunction and Eigenvalue for LTI systems ◆2.7 Representation of Sequences by Fourier Transforms ◆2.8 Symmetry Properties of the Fourier Transform ◆2.9 Fourier Transform Theorems ◆2.10 Discrete-Time Random Signals Is the system LTI ? Example 2.16 (第二版)
2.0 Introduction Signal:something conveys information, represented mathematically as functions of one or more independent variables.Classified as: Continuous-time (analog)signals discrete-time signals,digital signals Signal-processing systems are classified along the same lines as signals: Continuous-time (analog)systems, discrete-time systems,digital systems 11 10/18/2022 Zhongguo Liu_Biomedical Engineering_Shandong Univ
11 10/18/2022 Zhongguo Liu_Biomedical Engineering_Shandong Univ. 2.0 Introduction ◆Signal: something conveys information, represented mathematically as functions of one or more independent variables. Classified as: ◆Continuous-time (analog) signals, discrete-time signals, digital signals ◆Signal-processing systems are classified along the same lines as signals: Continuous-time (analog) systems, discrete-time systems, digital systems
