Discrete Time Systems Implementation on Digital Signal Processing related Questions and Answers

Question 1 : A closed form solution of the state space equations is easily obtained when the system matrix F is:
1. Transpose
2. Symmetric
3. Identity
4. Diagonal
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Question 2 : What is the resolution to cover a range of numbers xmax-xmin with 'b' number of bits?
1. (xmax+xmin)/(2b-1)
2. (xmax+xmin)/(2b+1)
3. (xmax-xmin)/(2b-1)
4. (xmax-xmin)/(2b+1)
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Question 3 : What are the mantissa and exponent required respectively to represent '5' in binary floating point representation?
1. 011,0.110000
2. 0.110000,011
3. 011,0.101000
4. 0.101000,011
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Question 4 : The output signal of a system is extracted at a sink node.
1. True
2. False
3.
4.
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Question 5 : The selection o f the sampling rate Fs=1/T, where T is the sampling interval, not only determines the highest frequency (Fs/2) that is preserved in the analog signal, but also serves as a scale factor that influences the design specifications for digital filters
1. True
2. False
3.
4.
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Question 6 : The truncation error for the sign magnitude representation is symmetric about zero.
1. True
2. False
3.
4.
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Question 7 : What is the range of round-off error for a foxed point representation?
1. [-0.5(2-b+2-bm), 0.5(2-b+2-bm)].
2. [0, (2-b+2-bm)].
3. [0, (2-b-2-bm)].
4. [-0.5(2-b-2-bm), 0.5(2-b-2-bm-bm)].
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Question 8 : What is the smallest floating point number that can be represented using a 32-bit word?
1. 3*10-38
2. 2*10-38
3. 0.2*10-38
4. 0.3*10-38
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Question 9 : Which of the following is the correct representation of a floating point number X?
1. 2E
2. M.2E(1/2<M<1 )
3. 2M.2E(1/2<M<1 )
4. None of the mentioned
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Question 10 : State variables provide information about all the internal signals in the system.
1. True
2. False
3.
4.
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