Unit 6 - Practice Quiz

ECE180 50 Questions
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1 What is the primary cause of thermal noise in a resistor?

A. External electromagnetic interference
B. Random emission of electrons
C. Random thermal motion of electrons
D. Improper doping of the semiconductor

2 The Mean Square Noise Voltage generated by a resistor at temperature (Kelvin) over a bandwidth is given by:

A.
B.
C.
D.

3 Which of the following characteristics best describes thermal noise?

A. It is strictly low-frequency noise
B. It is band-limited noise
C. It is impulsive noise
D. It is white noise (constant PSD)

4 If two resistors and are connected in series, what is the effective noise resistance?

A.
B.
C.
D.

5 The standard reference temperature used in noise figure calculations is typically:

A. 100 K
B. 290 K
C. 0 K
D. 273 K

6 The Noise Figure () of a network is defined as:

A. The difference between input SNR and output SNR
B. The ratio of output SNR to input SNR
C. The ratio of input SNR to output SNR
D. The product of input SNR and output SNR

7 The relationship between Noise Figure () and Effective Noise Temperature () is given by:

A.
B.
C.
D.

8 For a cascaded system of two stages with noise figures and and gains and , the Friis formula for the total noise figure is:

A.
B.
C.
D.

9 In a cascaded amplifier system, which stage contributes most significantly to the overall system noise performance?

A. All stages contribute equally
B. The last stage
C. The first stage
D. The intermediate stage

10 The Noise Equivalent Bandwidth () of a system with transfer function and maximum gain is defined as:

A.
B.
C.
D.

11 Narrow band noise is generally represented in quadrature form as:

A.
B.
C.
D.

12 If a narrow band noise has zero mean, what is the mean value of its quadrature components and ?

A. Unity
B. Depends on bandwidth
C. Infinite
D. Zero

13 If the variance of the narrow band noise is , what is the variance of the in-phase component ?

A.
B.
C.
D.

14 The Power Spectral Density (PSD) of the in-phase component is related to the PSD of the narrow band noise by:

A.
B. for
C.
D.

15 For a Gaussian narrow band noise, the probability density function (PDF) of the envelope follows a:

A. Rayleigh distribution
B. Uniform distribution
C. Ricean distribution
D. Gaussian distribution

16 For a Gaussian narrow band noise, the phase is distributed:

A. Normally between and
B. Exponentially
C. Uniformly between and
D. Rayleigh distributed

17 If a constant sine wave signal is added to narrow band Gaussian noise, the envelope of the resultant signal follows a:

A. Ricean distribution
B. Rayleigh distribution
C. Poisson distribution
D. Gaussian distribution

18 The information content of an event with probability is defined as:

A.
B.
C.
D.

19 The unit of information when the logarithm base is 2 is:

A. Decit
B. Bit
C. Nat
D. Hartley

20 Entropy of a discrete random variable represents:

A. The transmission error rate
B. The bandwidth of the signal
C. The average information content per symbol
D. The maximum amplitude of the signal

21 The entropy of a source is maximum when the symbol probabilities are:

A. All zero
B. All one
C. Exponentially distributed
D. Equiprobable (Uniform)

22 If a source has equiprobable symbols, its entropy is:

A.
B. $0$
C.
D.

23 Information Rate is defined as:

A.
B.
C. , where is the symbol rate
D.

24 Calculate the entropy of a source with two symbols having probabilities and .

A. 0.25 bits/symbol
B. 0.811 bits/symbol
C. 0.5 bits/symbol
D. 1 bit/symbol

25 What is the primary goal of Source Coding (e.g., Huffman)?

A. To increase the signal power
B. To increase the bandwidth
C. To reduce the average number of bits per symbol
D. To increase redundancy for error correction

26 A code is said to be a Prefix Code (or Instantaneous Code) if:

A. It contains a start bit and stop bit
B. No codeword is a prefix of another codeword
C. All codewords have the same length
D. The length of codewords increases with probability

27 Which of the following coding techniques guarantees the lowest average code length (optimal) for symbol-by-symbol coding?

A. Shannon-Fano Coding
B. Binary Coded Decimal
C. Huffman Coding
D. ASCII Coding

28 In Huffman coding, high probability symbols are assigned:

A. Codes starting with 1
B. Longer codewords
C. Codes starting with 0
D. Shorter codewords

29 The efficiency of a source code is given by:

A.
B.
C.
D.

30 The Mutual Information represents:

A. The noise in the channel
B. The uncertainty remaining in X after observing Y
C. The sum of entropies of X and Y
D. The information shared between variables X and Y

31 Mutual Information can be expressed in terms of entropy as:

A.
B.
C.
D.

32 If X and Y are independent random variables, their Mutual Information is:

A. 0
B.
C.
D.

33 The Channel Capacity of a discrete memoryless channel is defined as:

A. The maximum of Mutual Information over all input distributions
B. The signal-to-noise ratio
C. The minimum entropy of the source
D. The bandwidth of the channel

34 For a Binary Symmetric Channel (BSC) with error probability , the capacity is:

A.
B.
C.
D.

35 What is the capacity of a noiseless binary channel?

A. Infinite
B. 1 bit/use
C. 0 bits/use
D. 0.5 bits/use

36 The Shannon-Hartley Law for the capacity of a Gaussian channel with bandwidth and signal-to-noise ratio is:

A.
B.
C.
D.

37 According to the Shannon-Hartley law, if the Bandwidth tends to infinity, the capacity :

A. Approaches a finite limit proportional to Signal Power
B. Approaches zero
C. Oscillates
D. Becomes infinite

38 The Shannon limit for reliable communication states that the minimum required is:

A. 0 dB
B. -1.6 dB ()
C. 10 dB
D. 3 dB

39 The trade-off between Bandwidth and SNR in the Shannon-Hartley law implies that:

A. Bandwidth can be traded for SNR logarithmically
B. Bandwidth and SNR are linearly exchangeable
C. No trade-off is possible
D. Increasing Bandwidth always reduces Capacity

40 Kraft's Inequality is a necessary and sufficient condition for the existence of:

A. A channel with zero error
B. A Gaussian noise source
C. Infinite bandwidth
D. A uniquely decodable prefix code

41 In Shannon-Fano coding, the first step is to:

A. Arrange symbols in decreasing order of probability
B. Arrange symbols in increasing order of probability
C. Assign 0 to all symbols
D. Calculate the cumulative distribution function

42 Redundancy in a code is defined as:

A.
B.
C. (where is efficiency)
D.

43 The conditional entropy represents:

A. The average uncertainty about Y given X is known
B. The average uncertainty about X given Y is known
C. The information lost in the channel
D. The joint uncertainty of X and Y

44 If a channel has a bandwidth of 3000 Hz and an SNR of 30 dB, the approximate capacity is:

A. 9,965 bits/sec
B. 3,000 bits/sec
C. 30,000 bits/sec
D. 1,000 bits/sec

45 Which noise source is associated with the discrete nature of charge carriers crossing a barrier?

A. Shot noise
B. Flicker noise
C. Cosmic noise
D. Thermal noise

46 Flicker noise, or 1/f noise, becomes dominant at:

A. Temperatures near absolute zero
B. Very high frequencies
C. Microwave frequencies
D. Low frequencies

47 The correlation between the in-phase component and the quadrature component of narrow band noise at the same time instant is:

A. Infinite
B. 1 (Fully correlated)
C. 0.5
D. 0 (Uncorrelated)

48 If the Noise Figure of an amplifier is 3 dB, what is the output SNR if the input SNR is 20 dB?

A. 6.66 dB
B. 17 dB
C. 23 dB
D. 60 dB

49 What is the entropy of a deterministic event (Probability = 1)?

A. 0 bits
B. 1 bit
C. Infinite
D. 0.5 bits

50 The quantity is known as:

A. Conditional Entropy
B. Joint Entropy
C. Differential Entropy
D. Mutual Information