All questions of Communication System for Electronics and Communication Engineering (ECE) Exam

Consider the following statements associated with angle modulations:
1. In FM, the frequency deviation is proportional to modulating frequency.
2. In PM, the frequency deviation is independent of modulating signal.
3. Amplitude of both FM and PM are constant.
4. It is possible to receive FM on a PM receiver and vice-versa.
5. Signal to noise ratio of PM is better than that of FM.
Which of the statements given above are correct?
  • a)
    2 and 5 only
  • b)
    3 and 4 only
  • c)
    1, 4 and 5
  • d)
    2, 3 and 4
Correct answer is option 'B'. Can you explain this answer?

Uday Kumar answered
• In FM, the frequency deviation is proportional only to the amplitude variation of the modulating signal and it is independent of modulating frequency fm. Hence, statement-1 is not correct.
• In PM, the frequency deviation increases with increase in modulating frequency fm and decreases with decrease in modulating frequency. Thus, frequency deviation in PM is proportional to modulating frequency. Hence, statement-2 is false.
• Statement-3 is correct.
• it is possible to receive FM on a PM receiver and PM on a FM receiver. Hence, statement-4 is correct.
• Signal to noise ratio of PM is inferior to that in FM. Hence, statement-5 is not correct.

Determine the bandwidth required for an FM signal having frequency 2 kHz and maximum deviation 10 kHz.  
  • a)
    16 kHz
  • b)
    32 kHz
  • c)
    24 kHz
  • d)
    8 kHz
Correct answer is option 'C'. Can you explain this answer?

To determine the bandwidth required for an FM signal, we need to consider the frequency of the signal and the maximum deviation. In frequency modulation (FM), the instantaneous frequency of the carrier signal is varied according to the modulating signal.

Frequency Modulation (FM):
FM is a modulation technique where the frequency of the carrier signal is varied in proportion to the instantaneous amplitude of the modulating signal. This modulation technique is widely used in applications such as radio broadcasting.

Maximum Deviation:
The maximum deviation represents the maximum change in frequency from the carrier frequency. In FM, it is the maximum frequency shift that occurs due to modulation. It is usually measured in kilohertz (kHz).

Given parameters:
Frequency of the FM signal = 2 kHz
Maximum deviation = 10 kHz

Calculation:
The bandwidth required for an FM signal can be calculated by using Carson's rule:

Bandwidth = 2 × (maximum deviation + modulating frequency)

In this case, the modulating frequency is 2 kHz and the maximum deviation is 10 kHz.

Bandwidth = 2 × (10 kHz + 2 kHz)
= 2 × 12 kHz
= 24 kHz

Therefore, the bandwidth required for the FM signal is 24 kHz.

Conclusion:
The correct answer is option 'C' - 24 kHz. The bandwidth required for an FM signal with a frequency of 2 kHz and a maximum deviation of 10 kHz is 24 kHz.

The autocorrelation of a wide-sense stationary random process is given by:  e-2|τ| .The peak value of the spectral density is
  • a)
    2
  • b)
    1
  • c)
    e-1/2
  • d)
    e
Correct answer is option 'B'. Can you explain this answer?

Sarita Yadav answered
Concept:
The power spectral density is basically the Fourier transform of the autocorrelation function of the power signal, i.e.
Sx(f) = F.T.{Rx(τ)}
Analysis:
Given, the autocorrelation function of the random signal X(t) as:
RX(τ) = e−2|τ|
So, its power spectral density is obtained as:
D is at f = 0,
SX(0) = 1

A phase modulated signal can be obtained from frequency modulator by passing the modulating signal through a
  • a)
    Differentiator
  • b)
    Integrator
  • c)
    High pass filter
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Ojasvi Khurana answered
Explanation:

Differentiator:
- A differentiator is a circuit that produces an output voltage proportional to the rate of change of the input voltage.
- When a modulating signal is passed through a differentiator, it enhances the high-frequency components in the signal.
- This results in the modulation index of the frequency modulated signal being directly proportional to the rate of change of the modulating signal.

Phase Modulated Signal:
- In phase modulation, the phase of the carrier signal is varied in accordance with the modulating signal.
- This results in a change in the phase of the carrier signal which carries the information.

Obtaining Phase Modulated Signal:
- By passing the modulating signal through a differentiator before feeding it to the frequency modulator, we can obtain a phase modulated signal.
- The differentiator enhances the high-frequency components in the modulating signal, which in turn affects the phase of the carrier signal in the frequency modulator.

Consider the FM signal xc(t) = 10 cos(2π × 108t + 0.5 sin(104 πt)). The bandwidth of xc(t) is approximately
  • a)
    2 kHz
  • b)
    100 MHz
  • c)
    15 kHz
  • d)
    6 kHz
Correct answer is option 'C'. Can you explain this answer?

Tanvi Ahuja answered
Π(10^6)t + 2 cos(2π(10^3)t) + cos(2π(10^4)t).

To determine the bandwidth of this FM signal, we need to consider the highest frequency component present in the signal. In this case, the highest frequency component is 10^4 Hz.

The bandwidth of an FM signal can be approximated using Carson's rule, which states that the bandwidth is equal to 2 times the sum of the highest frequency component and the peak frequency deviation.

In this case, the peak frequency deviation can be determined by taking the difference between the highest frequency component and the carrier frequency. The carrier frequency is given as 10^6 Hz.

Therefore, the peak frequency deviation is 10^4 Hz - 10^6 Hz = -9 x 10^3 Hz.

Using Carson's rule, the bandwidth of the FM signal is approximately 2(10^4 Hz + 9 x 10^3 Hz) = 38 x 10^3 Hz or 38 kHz.

Which of the following Pulse time Modulation does not exist in practice?
  • a)
    PWM
  • b)
    PAM
  • c)
    PPM
  • d)
    PFM
Correct answer is option 'D'. Can you explain this answer?

Sarita Yadav answered
PFM does not exist in practice
Additional Information
PWM

The amplitude and position of pulses are constant in modulated signal (PWM), but the width (or duration) of pulses varies proportionally with the amplitude of an analog useful signal.
The carrier signal is produced by a clock.

 
PPM
The amplitude and width of pulses are constant in a modulated signal (PPM), but the direction of pulses varies proportionally with the amplitude of analogical useful signal.
PAM
The width and location of pulses in a modulated signal (PAM) are constant, while the amplitude of pulses varies proportionally with the amplitude of an analogical useful signal.

An AM broadcast station is found to be transmitting modulating frequencies up to 5 kHz and the station is allowed to transmit on a frequency of 950 kHz, then what will be the bandwidth (in kHz) allotted to the station?
  • a)
    5
  • b)
    10
  • c)
    20
  • d)
    25
Correct answer is option 'B'. Can you explain this answer?

Tanay Singh answered
To determine the bandwidth allotted to an AM broadcast station, we need to consider the modulating frequencies and the carrier frequency.

Given:
Modulating frequencies = 5 kHz
Carrier frequency = 950 kHz

The bandwidth allotted to the station can be determined using Carson's rule, which states that the bandwidth required for an AM signal is equal to twice the sum of the highest modulating frequency and the frequency deviation.

Formula:
Bandwidth = 2 * (Highest Modulating Frequency + Frequency Deviation)

1. Highest Modulating Frequency:
The given modulating frequencies go up to 5 kHz. Therefore, the highest modulating frequency is 5 kHz.

2. Frequency Deviation:
The frequency deviation is the maximum shift in frequency from the carrier frequency caused by the modulation. In AM, the frequency deviation is equal to the highest modulating frequency. So, the frequency deviation is also 5 kHz.

3. Calculate Bandwidth:
Using the formula,
Bandwidth = 2 * (5 kHz + 5 kHz)
= 2 * 10 kHz
= 20 kHz

Therefore, the bandwidth allotted to the AM broadcast station is 20 kHz.

Hence, the correct answer is option 'C' 20 kHz.

Which of the following is NOT one of the types of amplitude modulation?
  • a)
    Vestigial sideband
  • b)
    Single-sideband with carrier
  • c)
    Single-sideband suppressed carrier
  • d)
    Double-sideband suppressed carrier
Correct answer is option 'B'. Can you explain this answer?

Single-sideband with carrier
Single-sideband with carrier modulation is NOT one of the types of amplitude modulation. This type of modulation involves the transmission of only one of the sidebands along with the carrier signal, resulting in a more efficient use of bandwidth compared to double-sideband modulation.

Types of Amplitude Modulation:
- Vestigial sideband: In vestigial sideband modulation, one sideband is partially suppressed to reduce bandwidth while still retaining the necessary information for demodulation.
- Single-sideband suppressed carrier: Single-sideband suppressed carrier modulation involves the transmission of only one sideband without the carrier signal, which helps in reducing bandwidth requirements.
- Double-sideband suppressed carrier: In double-sideband suppressed carrier modulation, both sidebands are transmitted without the carrier signal, resulting in efficient use of bandwidth.

Explanation:
Single-sideband with carrier modulation is not a commonly used modulation technique in practice. It is not as efficient in terms of bandwidth utilization compared to other types of amplitude modulation. Therefore, it is important to understand the different types of modulation techniques available in order to choose the most suitable one for a particular application.

The types of distortions which can occur in the envelope detector output is/are
  • a)
    only diagonal clipping.
  • b)
    only negative peak clipping.
  • c)
    both diagonal clipping and negative peak clipping.
  • d)
    neither diagonal clipping nor negative peak clipping.
Correct answer is option 'C'. Can you explain this answer?

Aravind Sharma answered
Envelope Detector Output Distortions

Distortions can occur in the output of an envelope detector, which can affect the accuracy of the envelope signal. The types of distortions that can occur are:

1. Diagonal Clipping: Diagonal clipping occurs when the input signal is too large for the diode to handle. This results in a loss of information in the envelope signal, which can cause distortion in the output signal.

2. Negative Peak Clipping: Negative peak clipping occurs when the negative peaks of the input signal are clipped by the diode. This results in a loss of information in the envelope signal, which can cause distortion in the output signal.

Both types of distortions can occur in the output of an envelope detector, leading to inaccurate envelope signals. Therefore, it is important to design the envelope detector circuitry carefully to avoid these types of distortions.

What is the percentage of power saved when an 80% modulated wave is transmitted over SSB-SC which was initially transmitted over AM?
  • a)
    0.8568
  • b)
    0.8666
  • c)
    0.8788
  • d)
    0.8988
Correct answer is option 'C'. Can you explain this answer?

Concept:
Power of a transmitted AM wave is given as:
Power in the carrier = Pc
Power in both the sidebands is given by:

Since the power is distributed equally to the left and to the right side of the sideband, the power in one of the sidebands is given by:

Analysis:
In SSB-SC, the carrier and one of the sidebands are suppressed, and when the carrier and 1 of the sideband are suppressed, the amount of power saving will be:

The percentage of power saved will be calculated as:

Given μ = 0.80, the amount of power saving will be

The error probability of QPSK is
  • a)
    better than BPSK
  • b)
    inferior to BPSK
  • c)
    same as BPSK
  • d)
    none of these
Correct answer is option 'C'. Can you explain this answer?

Manisha Chavan answered
The error probability of QPSK is same as BPSK.
The bit error probability is determined when the signal interference and Gaussian noise are applied to the input of the QPSK receiver. The interference is approximated by a sum of sine waves with constant amplitudes and uniformly distributed phases.

The signal m(t) = cos(ωmt) is SSB (single side-band) modulated with a carrier cos(ωct) to get s(t). The signal obtained by passing s(t) through an ideal envelope detector is
  • a)
    cos(ωmt)
  • b)
    sin(ωmt)
  • c)
    cos(ωmt) + sin(ωmt)
  • d)
    1
Correct answer is option 'D'. Can you explain this answer?

1) General equation of SSB modulated wave:

2) Output of envelope detector to signal
Acos ωct → A
Application:
Equation of SSB modulated signal

the output of envelope detector = ½
The output of the envelope detector is a constant voltage signal
Hence option (d) which represents a constant voltage is correct.

An angle modulated signal with carrier frequency ωc = 2π × 106 rad/s given by ϕm(t) = cos(ωct + 5 sin (1000πt) + 10 sin (2000πt)). The maximum deviation of the frequency in the angle modulated signal from that of the carrier is ___________ kHz.
    Correct answer is between '12,13'. Can you explain this answer?

    Hiral Shah answered
    An angle modulated signal with carrier frequency refers to a type of signal where the frequency of the carrier wave is varied in accordance with the information being transmitted. This modulation technique is commonly used in frequency modulation (FM) and phase modulation (PM).

    In FM, the frequency of the carrier wave is changed in proportion to the amplitude of the modulating signal. This means that as the amplitude of the modulating signal increases, the frequency of the carrier wave increases, and vice versa. This results in a signal that is resistant to noise and interference, making it ideal for applications such as radio broadcasting.

    In PM, the phase of the carrier wave is changed in proportion to the amplitude of the modulating signal. This means that as the amplitude of the modulating signal increases, the phase of the carrier wave changes, and vice versa. PM is commonly used in applications where the phase information of the signal is important, such as in radar and telecommunications.

    Both FM and PM are examples of angle modulation, where the phase or frequency of the carrier wave is modulated to carry the information being transmitted.

    In a digital continuous-time communication system, the bit rate of NRZ data stream is 1 Mbps and carrier frequency of transmission is 100 MHz. What is the bandwidth requirement of the channel in BPSK and QPSK systems respectively?
    • a)
      2 MHz and 4 MHz
    • b)
      1 MHz and 2 MHz
    • c)
      4 MHz and 2 MHz
    • d)
      2 MHz and 1 MHz
    Correct answer is option 'D'. Can you explain this answer?

    Diya Patel answered
    The bit period of NRZ data stream is
    In BPSK, each binary bit is a symbol, therefore symbol duration Ts = Tb = 1 μs.
    ∴ The bandwidth required for BPSK system is
    In QPSK, we group two successive bits to form one symbol, therefore symbol duration,

    Fourier series analysis is a tool used to
    1. analyse any periodic and non-periodic signal.
    2. find how many frequency components are present in the signal.
    3. find the relative phase difference between various frequency components.
    4. represents a waveform in the form of sum of infinite number of exponential terms.
    5. find the amplitude of various terms in the series.
    Which of the statements given above are correct?
    • a)
      2, 5 and 3
    • b)
      1, 3 and 4
    • c)
      1, 2 and 3
    • d)
      2, 3 and 5
    Correct answer is option 'D'. Can you explain this answer?

    Asha Deshpande answered
    Fourier series analysis is a tool used to
    1. analyse any periodic signal only.
    2. find how many frequency components are present in the signal.
    3. find the relative phase difference between various frequency components.
    4. represents a periodic waveform in the form of sum of infinite number of sine and cosine terms.
    5. find the amplitude of various frequency components of the series.
    Hence, statements 2, 3 and 5 are only correct.

    Which is true in a frequency modulated system ?
    • a)
      Variation of carrier amplitude does not affect quality of reception
    • b)
      Amplitude of carrier is varied according to modulating signal
    • c)
      The transmission does not require line of sight between transmitter and reciever
    • d)
      Receiver uses diode detector
    Correct answer is option 'A'. Can you explain this answer?

    Rajat Kapoor answered
    Variation of carrier amplitude does not affect quality of reception

    Explanation:

    Frequency modulation (FM) is a modulation technique used in electronic communication, most commonly for transmitting information via a carrier wave by varying the frequency of the carrier wave in proportion to the instantaneous amplitude of the modulating signal.

    In a frequency modulated system, the variation of the carrier amplitude does not affect the quality of reception. This is because FM is a form of angle modulation, where the information is encoded in the change of frequency, rather than the amplitude of the carrier wave.

    Here are the key points explaining why the statement is true:

    1. Amplitude vs Frequency Modulation:

    - In amplitude modulation (AM), the amplitude of the carrier wave is varied in proportion to the instantaneous amplitude of the modulating signal. Changes in the carrier amplitude directly affect the quality of reception in AM systems.

    - In frequency modulation (FM), on the other hand, the frequency of the carrier wave is varied in proportion to the instantaneous amplitude of the modulating signal. The amplitude of the carrier wave remains constant, and only the frequency changes.

    2. Benefits of Frequency Modulation:

    - FM has several advantages over AM, including better noise immunity, improved signal-to-noise ratio, and higher fidelity.

    - The constant amplitude of the carrier wave in FM ensures that the received signal is less susceptible to amplitude variations caused by noise or interference.

    3. Receiver Operation:

    - In an FM system, the receiver uses a frequency discriminator to recover the modulating signal from the received frequency-modulated waveform.

    - The receiver does not rely on variations in the carrier amplitude to extract the information. Instead, it focuses on detecting and measuring the changes in the carrier frequency.

    - The diode detector mentioned in option 'D' is commonly used in amplitude demodulation (AM) systems, not frequency modulation (FM) systems.

    Conclusion:

    In summary, the statement that the variation of carrier amplitude does not affect the quality of reception in a frequency modulated system is true. FM systems rely on changes in frequency rather than amplitude, and the receiver uses a frequency discriminator to recover the modulating signal.

    A PAM source generates four symbols 3 V, 1 V, -1 V and -3 V with probability of p(3) = p(-3) = 0.2 and p(1) = p(-1) = 0.3 respectively. The variance for the source will be
    • a)
      4.2 V
    • b)
      3.2 V
    • c)
      3.6 V
    • d)
      4.6 V
    Correct answer is option 'A'. Can you explain this answer?

    Sarita Yadav answered
    Concept:
    For discrete random variable x:
    Mean = E[x] = ∑I xi p (xi)
    Mean square value (MSQ) = E[x2] = ∑I xi2 p (xi)
    Variance (σ2) = E[x2] – {E(x)}2
    Standard deviation (σ) = 
    Calculation:
    Given data: for the given PAM source

    Mean = E[x] = ∑i xi p (xi)
    = (-3)(0.2) + (-1)(0.3) + (1)(0.3) + (3)(0.2)
    = 0
    MSQ = E[x2] = ∑I xi2 p (xi)
    = (-3)2(0.2) + (-1)2(0.3) + (1)2(0.3) + (3)2(0.2) V
    = 4.2 V
    Variance = E[x2] – {E[x]}2
    = 4.2 – 0
    = 4.2 V

    Which of the following modulation scheme is most bandwidth efficient?
    • a)
      AM
    • b)
      FM
    • c)
      PM
    • d)
      SSB-SC
    Correct answer is option 'D'. Can you explain this answer?

    Nakul Chauhan answered
    Bandwidth Efficiency of Modulation Schemes

    The bandwidth efficiency of a modulation scheme refers to the amount of information that can be transmitted over a given bandwidth. In other words, it measures how efficiently the available bandwidth is utilized to transmit data. Among the given options (AM, FM, PM, SSB-SC), Single Sideband Suppressed Carrier (SSB-SC) modulation scheme is the most bandwidth efficient. Let's understand why.

    1. AM (Amplitude Modulation)
    - In AM, the amplitude of the carrier signal is varied in proportion to the message signal.
    - The bandwidth required for AM is twice the frequency of the message signal.
    - AM uses a lot of bandwidth to transmit the information and is not considered bandwidth efficient.

    2. FM (Frequency Modulation)
    - In FM, the frequency of the carrier signal is varied in proportion to the message signal.
    - The bandwidth required for FM is determined by the maximum frequency deviation and the highest frequency component in the message signal.
    - FM requires a wider bandwidth compared to AM, but it provides better noise immunity.

    3. PM (Phase Modulation)
    - In PM, the phase of the carrier signal is varied in proportion to the message signal.
    - The bandwidth required for PM is also determined by the maximum frequency deviation and the highest frequency component in the message signal.
    - PM requires a wider bandwidth compared to AM as well.

    4. SSB-SC (Single Sideband Suppressed Carrier)
    - SSB-SC is a modulation scheme that suppresses one of the sidebands and the carrier signal.
    - By suppressing the carrier and one sideband, SSB-SC effectively reduces the required bandwidth.
    - SSB-SC can achieve a bandwidth efficiency of 100%, meaning it utilizes the entire available bandwidth for transmission.

    Conclusion
    Among the given modulation schemes, Single Sideband Suppressed Carrier (SSB-SC) is the most bandwidth efficient. It achieves this by suppressing the carrier and one sideband, effectively utilizing the entire available bandwidth for transmission. In contrast, AM, FM, and PM require wider bandwidths, making them less efficient in terms of bandwidth utilization.

    A DSB-SC signal is generated using the carrier signal cos (ωct + θ) and modulating signal m(t). What is the envelope detector output of this DSB-SC signal?
    • a)
      m(t) cos θ
    • b)
      |m(t)|
    • c)
      m(t) tan θ
    • d)
      m(t) sin θ
    Correct answer is option 'B'. Can you explain this answer?

    Sarita Yadav answered
    s1(t) = Ac [1 + kam(t) ] cosωct
    s2(t) = Ac [1 - kam(t) ] cosωct
    s(t) =  Ac [1 + kam(t) ] cosωct -  Ac [ 1 - kam(t) ] cosωct
    = 2 Ac ka m(t) cosωct
    s(t) ∝ m(t) cosωct
    Hence, Envelope of s(t) = |m(t)|

    Which of the following systems is analog?
    • a)
      PCM
    • b)
      DM
    • c)
      DPCM
    • d)
      PAM
    Correct answer is option 'D'. Can you explain this answer?

    • Analog modulation is a process in which analog low-frequency baseband signals (like an audio or TV signal) are transmitted over a larger distance without getting faded away, by superimposing over a higher frequency carrier signal such as a radio frequency band.
    • Different modulation techniques are explained with the help of the following block diagram:
    • If the amplitude of a pulse or duration of a pulse is varied according to the instantaneous values of the baseband modulating signal, then such a technique is called as Pulse Amplitude Modulation (PAM).

    The bit rate of a digital communication system is 34 Mbps. The modulation scheme is QPSK. The baud rate of the system is
    • a)
      68 Mbps
    • b)
      34 Mbps
    • c)
      17 Mbps
    • d)
      85 Mbps
    Correct answer is option 'C'. Can you explain this answer?

    In BPSK, baud rate is half the bit rate due to which there is more effective utilization of the available bandwidth of the transmission channel. Given, bit rate = 34 Mbps

    Assertion (A) : PCM has much better noise immunity as compared to PAM, PWM and PPM systems.
    Reason (R) : PCM does not contain any information in the width or the position of the pulses.
    • a)
      Both A and R are true and R is the correct explanation of A.
    • b)
      Both A and R are true but R is not the correct explanation of A.
    • c)
      A is true but R is false.
    • d)
      A is false but R is true.
    Correct answer is option 'A'. Can you explain this answer?

    Pankaj Rane answered
    In practice, the transmitted pulses usually have slightly sloping sides (edges). As the noise is superimposed on them, the width and the position of the regenerated pulses is changed. This distorts the information contents in the PWM and PPM signals. Since PCM does not contain any information in the width or the position of the pulses, therefore PCM has much better noise immunity as compared to PAM, PWM and PPM systems. Hence, both assertion and reason are true and reason is the correct explanation of assertion.

    Which of the following requires the least bandwidth?
    • a)
      DSB SC
    • b)
      DSB
    • c)
      VSB
    • d)
      SSB
    Correct answer is option 'D'. Can you explain this answer?

    Sakshi Chauhan answered
    Bandwidth Requirement for Different Modulation Techniques:

    DSB SC (Double Sideband Suppressed Carrier):
    - DSB SC modulation requires more bandwidth compared to other modulation techniques because it transmits both sidebands along with the carrier signal.
    - It utilizes the full bandwidth available for transmission.

    DSB (Double Sideband):
    - DSB modulation also transmits both sidebands without the carrier signal.
    - It requires more bandwidth than SSB but less than DSB SC.

    VSB (Vestigial Sideband):
    - VSB modulation transmits one complete sideband and a portion of the other sideband.
    - It requires more bandwidth than SSB but less than DSB and DSB SC.

    SSB (Single Sideband):
    - SSB modulation transmits only one sideband while suppressing the other sideband and the carrier signal.
    - It requires the least bandwidth among the listed modulation techniques.
    - By eliminating redundant information, SSB modulation efficiently uses the available bandwidth.
    In conclusion, SSB modulation requires the least bandwidth among DSB SC, DSB, VSB, and SSB modulation techniques. Its efficiency in utilizing bandwidth makes it a suitable choice for applications where bandwidth conservation is essential.

    In a frequency modulation system, maximum frequency deviation allowed is 1000 and modulating frequency is 1 kHz. Determine modulation index β.
    • a)
      2
    • b)
      2000
    • c)
      1
    • d)
      1000
    Correct answer is option 'C'. Can you explain this answer?

    Sarita Yadav answered
    Concept:
    In FM (Frequency Modulation), the modulation index is defined as the ratio of frequency deviation to the modulating frequency.
    Mathematically, this is defined as:

    mf = Modulation index
    Δf = Frequency deviation
    fm = Modulating frequency
    Calculation:
    Given Δf = 1000 Hz = 1 kHz
    fm = 1 kHz

    Modulation system used for video modulation in TV transmission is
    • a)
      DSB
    • b)
      VSB
    • c)
      SSB
    • d)
      SSBBC
    Correct answer is option 'B'. Can you explain this answer?

    Sarita Yadav answered
    In TV Transmission the use of FM is made for Audio transmission and AM for Video transmission.
    Vestigial Sideband modulation (VSB) is used for video modulation in TV transmission due to the following reasons :
    • Video signal exhibits a large bandwidth and significant low-frequency content which suggests the use of VSB.  
    • VSB (vestigial side band) transmission transmits one side band fully and the other side band partially thus, reducing the bandwidth requirement.
    • The circuitry for demodulation in the receiver should be simple and therefore cheap. VSB demodulation uses a simple envelope detection.

    The four basic elements in a PLL are loop filter, loop amplifier, VCO and
    • a)
      Up converter
    • b)
      Down converter
    • c)
      Phase detector
    • d)
      Frequency multiplier
    Correct answer is option 'C'. Can you explain this answer?

    • A phase-locked loop is a control system that generates an output signal whose phase is related to the phase of an input signal.
    • The circuit can track an input frequency or it can generate a frequency that is a multiple of the input frequency.
    • The basic elements of a PLL circuit are phase comparator/detector, a loop filter, voltage controlled oscillator (VCO).
    The figure shows a schematic of a phase-locked loop:

    The error probability of QPSK is
    • a)
      better than BPSK
    • b)
      inferior to BPSK
    • c)
      same as BPSK
    • d)
      none of these
    Correct answer is option 'C'. Can you explain this answer?

    The error probability of QPSK is better (or lower) than that of BPSK due to which QPSK is used for very high bit rate data transmission.

    How much percentage power will be saved when the carrier and one of the sidebands are suppressed in an AM wave modulated to a depth of 50%?
    • a)
      83.3%
    • b)
      94.4%
    • c)
      47.2%
    • d)
      None of the above
    Correct answer is option 'B'. Can you explain this answer?

    Concept:
    Total power in AM (PT)= PC ( 1 + μ2/2 ) = PC + PCμ2/2
    where;
    PC → Carrier power 
    μ → modulation index
    Power of single sideband = ( PCμ2/2)/2 =  PCμ2/4
    Calculation:
    Given 
    μ = 50% = 0.5
    After suppressing carrier and a single sideband :
    PT = (PC + PCμ2/2) - (PC + PCμ2/4) = PCμ2/4
    Percentage of power will be saved :
    = [(PC + PCμ2/2 )- PCμ2/4 ]/PC ( 1 + μ2/2 ) × 100
    = (1 + μ2/4)/( 1 + μ2/2 ) × 100
    = (1 + (0.5)2/4)/( 1 + (0.5)2/2 ) × 100
    94.44 %

    Which of the following circuits could NOT be used as demodulator of SSB?
    • a)
      Weaver Demodulator
    • b)
      Phase Shift Method
    • c)
      Phase discriminator
    • d)
      Filter Method
    Correct answer is option 'C'. Can you explain this answer?

    Sarita Yadav answered
    Phase Discrimination is used for the demodulation of Frequency Modulate signals.

    Additional Information
    • The following methods are used for the demodulation of Single Side Band (SSB) signals.
      • The Filter Method
      • The Phasing Shift Method
      • The Weaver Demodulator
      • Fourier based Demodulation.
    • The following methods are used for the demodulation of Frequency Modulated (FM) signals.
      • ​Frequency discrimination method
      • Phase discrimination method.
    ​Hence, phase discriminator is used as demodulator of SSB

    Bandwidth of BPSK is ___ than that of BFSK.
    • a)
      higher
    • b)
      equal
    • c)
      lower
    • d)
      either lower or higher
    Correct answer is option 'C'. Can you explain this answer?

    Anshu Kumar answered
    Minimum bandwidth required in BPSK = 2fb.
    Minimum bandwidth required in BFSK = 4fb.
    Hence, bandwidth of BPSK is lower than that of BFSK.

    The amplitude of a random signal is uniformly distributed between –5V and 5V. If the signal to quantization noise ratio required in uniformly quantizing the signal is 43.5dB, the step size of the quantization is approximately-
    • a)
      0.0333V
    • b)
      0.05V
    • c)
      0.0667V
    • d)
      0.10V
    Correct answer is option 'C'. Can you explain this answer?

    Imtiaz Ahmad answered
    Given; Signal to quantization noise  = 43.5 dB
    The amplitude of a random signal is uniformly distributed between –5V and 5V.

     
    E[X2] = 52/3 = 25/3
    E[XQE2] = δ2/12
    SNR = (25/3)/ (δ2/12) = 100/ δ2
    SNR (dB) = 10log(SNR)
    ⇒ 43.5 =  10log(SNR)
    ⇒  log(SNR) = 43.5/10
    ⇒  SNR= 104.35 
    Therefore
    100/ δ2 = 104.35 
    ⇒ δ2 = 100/104.35 
    ⇒ δ = 0.0667

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