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Digital Signal Processing Mcqs

Q:

The solution obtained by assuming the input x(n) of the system is zero is ____________

A) General solution B) Particular solution
C) Complete solution D) Homogenous solution
 
Answer & Explanation Answer: D) Homogenous solution

Explanation: By making the input x(n)=0 we will get a homogeneous difference equation and the solution of that difference equation is known as Homogenous or Complementary solution.

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Q:

Zero-input response is also known as Natural or Free response.

A) True B) False
 
Answer & Explanation Answer: A) True

Explanation: For a zero-input response, the input is zero and the output of the system is independent of the input of the system. So, the response if such system is also known as Natural or Free response.

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78
Q:

Zero-state response is also known as ____________

A) Free response B) Forced response
C) Natural response D) None of the mentioned
 
Answer & Explanation Answer: B) Forced response

Explanation: The zero-state response depends on the nature of the system and the input signal. Since this output is a response forced upon it by the input signal, it is also known as ‘Forced response’.

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94
Q:

If the system is initially relaxed at time n=0 and memory equals to zero, then the response of such state is called as ____________

A) Zero-state response B) Zero-input response
C) Zero-condition response D) None of the mentioned
 
Answer & Explanation Answer: A) Zero-state response

Explanation: The memory of the system, describes, in some case, the ‘state’ of the system, the output of the system is called as ‘zero-state response’.

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137
Q:

The system described by the equation y(n)=ay(n+1)+b x(n) is a recursive system.

A) True B) False
 
Answer & Explanation Answer: B) False

Explanation: Since the present output depends on the value of the future output, the system is not called a Recursive system.

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145
Q:

An FIR system is also called as “recursive system”.

A) True B) False
 
Answer & Explanation Answer: B) False

Explanation: For a system to be recursive, the output of the system must be dependent only on the past values of the output. For an FIR system the output of the system must be depending only on the present and past values of the input. So, FIR system is not an recursive system.

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105
Q:

The system described by the equation y(n)=ay(n-1)+b x(n) is a recursive system.

A) True B) False
 
Answer & Explanation Answer: A) True

Explanation: Since the present output depends on the value of the previous output, the system is called a Recursive system.

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