Discrete Time Systems Implementation MCQ Quiz – Objective Question with Answer for Discrete Time Systems Implementation

71. The truncation error for the sign-magnitude representation is symmetric at about zero.

A. True
B. False

Answer: A

The truncation error for the sign-magnitude representation is symmetric at about zero and falls in the range

-(2-b-2-bm) ≤ Et ≤ (2-b-2-bm).

 

72. What is the range of round-off error for a fixed point representation?

A. [-0.5(2-b+2-bm), 0.5(2-b+2-bm)]
B. [0, (2-b+2-bm)]
C. [0, (2-b-2-bm)]
D. [-0.5(2-b-2-bm), 0.5(2-b-2-bm-bm)]

Answer: D

The round-off error is independent of the type of fixed-point representation. The maximum error that can be introduced through rounding is 0.5(2-b+2-bm) and this can be either positive or negative, depending on the value of x.

Therefore, the round-off error is symmetric at about zero and falls in the range

[-0.5(2-b-2-bm), 0.5(2-b-2-bm-bm)]

 

73. What is the 2’s complement of (1100)2?

A. (0100)2
B. (0011)2
C. (0111)2
D. (1100)2

Answer: A

The one’s complement of (1100)2 is (0011)2. Thus the two complements of this number are obtained as (0011)2+(0001)2=(0100)2.

 

74. The binary digit b-A is called ______

A. LSB
B. Total value
C. MSB
D. None of the mentioned

Answer: C

The binary digit b-A is called MSB.

Since the binary digit b-A is the first bit in the representation of the real number, it is called the most significant bit(MSB. of the number.

 

75. If E=255 and M≠0, then which of the following statement is true about X?

A. Not a number
B. Infinity
C. Defined
D. Zero

Answer: A

According to the IEEE 754 standard, for a 32-bit machine, a single-precision floating-point number is represented as X=(-1)s.2E-127(M).
From the above equation, we can interpret that,

If E=255 and M≠0, then X is not a number.

 

76. When the frequency band is selected we can specify the sampling rate and the characteristics of the pre-filter, which is also called as __________ filter.

A. Analog filter
B. Anti-aliasing filter
C. Analog & Anti-aliasing filter
D. None of the mentioned

Answer: B

Once the desired frequency band is selected we can specify the sampling rate and the characteristics of the pre-filter, which is also called an anti-aliasing filter. The anti-aliasing filter is an analog filter that has a twofold purpose.

 

77. What are the main characteristics of an Anti-aliasing filter?

A. Ensures that the bandwidth of the signal to be sampled is limited to the frequency range
B. To limit the additive noise spectrum and other interference, which corrupts the signal
C. All of the mentioned
D. None of the mentioned

Answer: C

The anti-aliasing filter is an analog filter that has a twofold purpose. First, it ensures that the bandwidth of the signal to be sampled is limited to the desired frequency range.

Using an antialiasing filter is to limit the additive noise spectrum and other interference, which often corrupts the desired signal. Usually, additive noise is wideband and exceeds the bandwidth of the desired signal.

 

78. In general, a digital system designer has better control of tolerances in a digital signal processing system than an analog system designer who is designing an equivalent analog system.

A. True
B. False

Answer: A

Analog signal processing operations cannot be done very precisely either since electronic components in analog systems have tolerances and introduce noise during their operation. In general, a digital system designer has better control of tolerances in a digital signal processing system than an analog system designer who is designing an equivalent analog system.

 

79. The selection of 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.

A. True
B. False

Answer: A

Once we have specified the pre-filter requirements and have selected the desired sampling rate, we can proceed with the design of the digital signal processing operations to be performed on the discrete-time signal.

The selection of 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 and any other discrete-time systems through which the signal is processed.

 

80. What is the configuration of system for digital processing of an analog signal?

A. Analog signal|| Pre-filter -> D/A Converter -> Digital Processor -> A/D Converter -> Post-filter
B. Analog signal|| Pre-filter -> A/D Converter -> Digital Processor -> D/A Converter -> Post-filter
C. Analog signal|| Post-filter -> D/A Converter -> Digital Processor -> A/D Converter -> Pre-filter
D. None of the mentioned

Answer: B

The anti-aliasing filter is an analog filter that has a two fold purpose.

the configuration of a system for digital processing of an analog signal is

Analog signal|| Pre-filter -> A/D Converter -> Digital Processor -> D/A Converter -> Post-filter

Scroll to Top