CHAPTER I - Course Overview

Test on Chapter 1

1、单选题:
‏Which of the below deterministic signals is a continuous-time energy signal: (    ).‍‏‍‍
选项:
A:
B:
C:
D:  
答案: 【 

2、单选题:

Given a periodic continuous-time signal , what is the signal's period  and the average power   ? (    )

‏选项:
A:
B:
C:
D:
答案: 【 

3、单选题:
‏Given the below relationships between the voltage and the current, please pick the system that is time-variant (    ).‌
选项:
A:
B:
C:
D:
答案: 【 

4、单选题:

Below are four discrete-time system and the relationship between the input, , the output,  , and the initial state,  is given for each of the systems. Which is not a linear system? (    )

‎选项:
A:
B:
C:
D:
答案: 【 

5、单选题:

Given the relationship between the input , the output , and the initial state , which of the systems is a linear system? (    )

‍选项:
A:
B:
C:
D:
答案: 【 

6、单选题:

Which of the below system is a time-invariant system? Given that or is the input of the system and  or is the output.  (   )

‍选项:
A:
B:
C:  
D:
答案: 【 

7、单选题:

Given the difference equation of a discrete-time system is , then the system is (    ).

‎选项:
A: Causal and linear time-invariant.
B: Causal and linear time-varient.
C: Non-causal and linear time-invariant.
D: Non-causal and linear time-variant. 
答案: 【 Causal and linear time-invariant.

8、单选题:

​For a linear continuous-time system, when the initial state is and the input signal is , the output is , ; when the initial state is and the input signal is , the output is , . Then, what is the output when the  initial state is and the input signal is ?  (   )

‌选项:
A:
B: ,
C: ,
D: ,
答案: 【 ,

CHAPTER II - Signal Analysis in the Time Domain

Test on Chapter 2

1、单选题:

A sinusoidal signal  can be represented by using imaginary exponential signal  as (    )

‎选项:
A:
B:
C:
D:
答案: 【 

2、单选题:

Which one of the below descriptions of the imaginary exponential signal  is NOT CORRECT (    )

‍选项:
A:  Both the imaginary exponential siganl  and sine signal  are periodic signals with the fundamental peroid of  .
B: The imaginary exponential signal  can be represented as 
C: Both the imaginary exponential siganl  and sine signal  can be linearly represented by the other signal, and thus, they have the same properties.
D: The greater the , the higher the oscillation frequency of the real and imaginary parts of the imaginary exponential signal .
答案: 【 The imaginary exponential signal  can be represented as 

3、单选题:

Given the waveform of a signal  , as shown below,  it can be represented as  (    )

‎选项:
A:
B:
C:
D:
答案: 【 

4、单选题:

 = (    )

‏选项:
A:
B:
C:
D:
答案: 【 

5、单选题:

The value of the integral  is  (    )

‎选项:
A: 0
B: 4
C: -4
D: 2
答案: 【 0

6、单选题:
‍Which one of the below relations is WRONG (   ) ?‍
选项:
A:
B:
C:
D:
答案: 【 

7、单选题:

‌Which one of the below descriptions of the imaginary exponential sequence  is WRONG (    )?

‌选项:
A: The imaginary exponential sequence  is not necessarily periodic.
B:  The imaginary exponential sequence  and sinusoidal sequences can represent each other using the Euler's relation.
C:  The imaginary sequence  can be obtained by sampling from the continuous-time signal , therefore, they should have the same period.
D:  The amplitude of the imaginary exponential sequence  may not increase as the angular frequency  increases.
答案: 【  The imaginary sequence  can be obtained by sampling from the continuous-time signal , therefore, they should have the same period.

8、单选题:
​Which one of the below relations is WRONG (   ) ?‏
选项:
A:
B:
C:
D:
答案: 【 

9、单选题:

Given the waveform of a signal   shown below, the signal can be represented by using  and  as (    )

​选项:
A:
B:
C:
D:
答案: 【 

10、单选题:

Given the waveform of a signal    shown below, the waveform of  should be (     )

‎选项:
A:
B:
C:
D:
答案: 【 

11、单选题:

The waveform of a signal  is shown below.  What is the waveform of  (  )

‍选项:
A:
B:
C:
D:
答案: 【 

12、单选题:

If , then =(    )

‌选项:
A:  
B:  
C:
D:
答案: 【 

13、单选题:

Given the waveform of the signal  shown below, which one of the representation of is  WRONG (    )

​选项:
A:
B:
C:
D:
答案: 【 

14、单选题:

If a dicrete-time sequence , then which of the four expressions is NOT the even component of   

​选项:
A:
B:
C:
D:
答案: 【 

CHAPTER III - System Analysis in the Time Domain

Test on Chapter 3

1、单选题:

The waveform of a continuous-time signal is shown below. What frequency components does the signal have?

‏选项:
A: Cosine components for all harmonics
B: Sine components for all harmonics
C: Sine components for odd harmonics
D: Cosine components for odd harmonics
答案: 【 Sine components for odd harmonics

2、单选题:

Given the spectrum  of a continuous-time signal is shown below, then, the periodic signal signal

 

‍选项:
A:
B:
C:
D:
答案: 【 

3、单选题:

For a periodic signal shown below, the DC component is

‏选项:
A: 0
B: 2
C: 2.5
D: 4
答案: 【 2.5

4、单选题:

The average power of the periodic continuous-time signal is 

‌选项:
A: 6
B: 6.5
C: 8
D: 8.5
答案: 【 6.5

5、单选题:
‍The spectrum of a non-periodic continuous-time signal is ‌
选项:
A: continuous and non-periodic
B: continuous and periodic
C: discrete and non-periodic
D: discrete and perodic
答案: 【 continuous and non-periodic

6、单选题:

‎The Fourier transform of signal  is

‍选项:
A:
B:
C:
D:
答案: 【 

7、单选题:

Given a signal, the value of the spectrum at ,  is

‎选项:
A: 0
B: 4
C: 8
D: 16
答案: 【 8

8、单选题:

If the bandwidth of a band-limited signal  is , then the bandwidth of the signal  is

‍选项:
A:
B:
C:
D:  
答案: 【 

9、单选题:

The highest angular frequency of the spectrum  of one signal  is , and the highest angular frequency of the spectrum  of a second signal  is . Then, the highest angular frequency of the signal  is

‍选项:
A:
B:
C:
D:
答案: 【 

10、单选题:

A signal is shown below. The spectrum of the signal is

‌选项:
A:
B:
C:
D:
答案: 【 

11、单选题:

If the highest frequency of a real signal  is 100Hz, then the highest frequency of the signal  is

​选项:
A: 100Hz
B: 150Hz
C: 200Hz
D: 400Hz
答案: 【 150Hz

12、单选题:

‏The energy of the signal  is

‌选项:
A:
B:
C:
D:
答案: 【 

13、单选题:

‍If the Fourier transform of the signal  shown in Figure (a) is . Then the Fourier transform of the signal  in Figure (b) is

‌选项:
A:
B:
C:
D:
答案: 【 

14、单选题:

‎The spectrum of the signal  is . Then the spectrum of the signal  is

‏选项:
A:
B:
C:
D:

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