Principles of Communication Systems Model Question Paper 1
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Questions and Answers

Define the standard form of amplitude modulation and derive its equation. Explain each term.

The standard form of amplitude modulation is given by the equation: $s(t) = A_c [1 + m(t)] imes ext{cos}(2 ext{π}f_ct)$, where $A_c$ is the carrier amplitude, $m(t)$ is the message signal, and $f_c$ is the carrier frequency. The term $A_c$ represents the carrier amplitude, $m(t)$ represents the message signal, and $f_c$ represents the carrier frequency.

Explain the generation of DSBSC waves using a Ring Modulator.

DSBSC waves are generated using a Ring Modulator by multiplying the message signal by the carrier signal, resulting in the suppression of the carrier and generation of double sidebands.

What will be the frequency content of the AM signal when a 1000 KHz carrier is simultaneously modulated to 300 Hz, 800Hz, and 2KHz audio Sinewaves?

The frequency content of the AM signal will include the carrier frequency at 1000 KHz, the upper sideband frequencies at 1000.3 KHz, 1000.8 KHz, and 1002 KHz, and the lower sideband frequencies at 999.7 KHz, 999.2 KHz, and 998 KHz.

Explain the scheme of generation and demodulation of VSB modulated wave with relevant spectrum of signals and mathematical expressions.

<p>The VSB modulated wave is generated by suppressing one sideband and transmitting the other along with the carrier. It is demodulated by using a coherent carrier and a synchronous detector. The spectrum of VSB signals includes the carrier and a single sideband, with the other sideband suppressed.</p> Signup and view all the answers

Calculate the sidebands of DSBSC modulated waves appearing at the two product modulator outputs in a two-stage product modulator with given input signal and local oscillator frequencies.

<p>i) The sidebands of DSBSC modulated waves appearing at the two product modulator outputs are at 99.7 KHz and 100.3 KHz. ii) The pass-bands of the two BPF’s are 0 to 200 KHz and 9.8 to 10.2 MHz.</p> Signup and view all the answers

Explain the working of a FDM transmitter and receiver with a neat block diagram.

<p>The FDM transmitter combines multiple signals onto a single channel by modulating each signal with a unique carrier frequency. At the receiver, the signals are demodulated and separated using filters.</p> Signup and view all the answers

Find the carrier, modulating frequency, modulation index, and maximum frequency deviation of the given FM wave represented by the voltage equation.

<p>Carrier frequency: 6 × 10^8 Hz, Modulating frequency: 1250 Hz, Modulation index: 5, Maximum frequency deviation: 75 kHz</p> Signup and view all the answers

Derive the expression for WBFM and show that the spectrum of WBFM wave contains an infinite number of sidebands.

<p>The expression for WBFM is given by the modulation index equation. The spectrum of WBFM contains an infinite number of sidebands due to the Bessel function expansion.</p> Signup and view all the answers

Determine the bandwidth of an FM signal with a fixed maximum frequency deviation and modulation frequency using Carson’s rule and the universal curve.

<p>i. By Carson’s rule: 150 kHz, ii. By universal curve: 240 kHz</p> Signup and view all the answers

Explain the direct method generation of FM using Hartley Oscillator with relevant equations and diagram.

<p>The direct method of FM generation using Hartley Oscillator involves modulating the frequency of the oscillator based on the input signal. This can be explained using the relevant frequency modulation equation and a diagram of the Hartley Oscillator.</p> Signup and view all the answers

Write the basic block diagram of PLL and derive the expression for the nonlinear model of PLL.

<p>The basic block diagram of PLL includes a phase detector, a loop filter, and a voltage-controlled oscillator (VCO). The nonlinear model of PLL can be derived by considering the phase detector and the characteristics of the VCO.</p> Signup and view all the answers

Derive the expression for the Figure of Merit of a frequency modulated receiver.

<p>The Figure of Merit for an FM receiver can be derived using the equation involving the signal-to-noise ratio and the minimum detectable signal.</p> Signup and view all the answers

Define noise and explain Noise Equivalent Bandwidth with relevant equations.

<p>Noise is random unwanted signals that interfere with the communication of information. Noise Equivalent Bandwidth is a measure of the effective noise bandwidth of a system, and it can be calculated using relevant equations.</p> Signup and view all the answers

Using the expression for the figure of merit of AM, find the FOM of single tone AM.

<p>The FOM of single tone AM can be calculated using the equation involving the modulation index and the signal-to-noise ratio.</p> Signup and view all the answers

Explain the generation and detection of PPM waves with neat block diagrams.

<p>The generation of PPM waves involves sampling the input signal and producing pulses based on the sampled values. The detection process includes demodulation and reconstruction of the original signal.</p> Signup and view all the answers

Explain the generation and recovery of PAM (Flat-top) signal with necessary equations and spectrum diagram.

<p>The generation of PAM (Flat-top) involves sampling and quantization of the input signal, followed by the creation of flat-topped pulses. The recovery process includes low-pass filtering to reconstruct the original signal.</p> Signup and view all the answers

Describe the effect of Noise on a Pulse position modulation System.

<p>Noise in a PPM system can lead to errors in pulse detection and timing, affecting the accuracy of information transmission.</p> Signup and view all the answers

State the Sampling theorem and explain the necessity of Digitizing of analog signals.

<p>The Sampling theorem states that a continuous signal can be accurately represented by discrete samples if the sampling frequency is at least twice the signal's maximum frequency. Digitizing analog signals is necessary to enable processing, storage, and transmission of the signals using digital systems.</p> Signup and view all the answers

Explain the effect of Noise on a Pulse position modulation System.

<p>Noise in a Pulse Position Modulation (PPM) system can cause errors in pulse detection, leading to inaccuracies in the transmission of information.</p> Signup and view all the answers

Derive the expression for the output Signal to Noise Ratio of a Quantizer.

<p>The output Signal to Noise Ratio of a Quantizer can be derived using the equation involving the quantization error and the power of the input signal.</p> Signup and view all the answers

Explain the basic elements of a PCM system with a neat diagram.

<p>A PCM system consists of a sampler, quantizer, encoder, transmission channel, decoder, and reconstruction filter. These elements work together to digitize, transmit, and reconstruct analog signals.</p> Signup and view all the answers

Calculate the Nyquist rate, number of bits required to encode a sample, and the quantization step for a given PCM system scenario.

<p>a. Nyquist rate: 30 kHz, b. Number of bits required: 16 bits, c. Quantization step: 0.0000305 volts</p> Signup and view all the answers

Study Notes

Amplitude Modulation (AM)

  • Standard form of AM: v(t) = (1 + μ * cos(2πft)) * A_carrier * cos(2πf_carrier * t)
  • Where μ is modulation index, A_carrier is amplitude of carrier wave, f is frequency of modulating signal, and f_carrier is frequency of carrier wave
  • Each term in the equation represents:
    • 1: unmodulated carrier wave
    • μ * cos(2πft): modulation term, which varies the amplitude of the carrier wave
    • A_carrier * cos(2πf_carrier * t): original carrier wave

DSBSC (Double Sideband Suppressed Carrier) Modulation

  • Generation using a Ring Modulator:
    • Multiply the carrier wave with the modulating signal using a ring modulator
    • Produces a DSBSC wave with no carrier component
  • Frequency content of AM signal:
    • When a 1000 KHz carrier is modulated with 300 Hz, 800 Hz, and 2 KHz audio sinewaves, the frequency content of the AM signal will be:
      • Lower sidebands: 998.7 KHz, 999.2 KHz, 998 KHz
      • Upper sidebands: 1001.3 KHz, 1000.8 KHz, 1002 KHz

VSB (Vestigial Sideband) Modulation

  • Scheme of generation and demodulation:
    • Generation: filter out one of the sidebands of a DSBSC wave using a filter
    • Demodulation: reverse process of generation, using a sync pulse to re-modulate the VSB wave
  • Mathematical expressions:
    • v(t) = A_carrier * cos(2πf_carrier * t) + A_sb * cos(2π(f_carrier - f_sb) * t)
    • v(t) = A_carrier * cos(2πf_carrier * t) - A_sb * cos(2π(f_carrier + f_sb) * t)

Two-Stage Product Modulator

  • Calculation of sidebands:
    • Given input signal and local oscillator frequencies, calculate the sidebands at each product modulator output
    • f_sb1 = f_carrier - f_in, f_sb2 = f_carrier + f_in

FDM (Frequency Division Multiplexing)

  • Block diagram of FDM transmitter and receiver:
    • Transmitter: multiple modulating signals multiplexed and transmitted over a single channel
    • Receiver: demodulates and separates the original modulating signals

FM (Frequency Modulation)

  • Equation of FM wave: v(t) = A_carrier * cos(2πf_carrier * t + β * sin(2πf_mod * t))
  • Carrier, modulating frequency, modulation index, and maximum frequency deviation:
    • Can be calculated from the given voltage equation
  • WBFM (Wideband Frequency Modulation):
    • Expression: v(t) = A_carrier * cos(2πf_carrier * t + β * sin(2πf_mod * t) + ... + β^n * sin(2πnf_mod * t))
    • Spectrum of WBFM wave contains an infinite number of sidebands
  • Bandwidth of FM signal:
    • Calculated using Carson's rule and the universal curve

Direct Method of FM Generation

  • Hartley Oscillator:
    • Generates an FM wave using a voltage-controlled oscillator
    • Relevant equations and diagram:

PLL (Phase-Locked Loop)

  • Basic block diagram:
    • Consists of a phase detector, low-pass filter, and voltage-controlled oscillator
  • Expression for the nonlinear model of PLL:
    • dφ/dt = Δω - K_p * sin(φ)

Figure of Merit (FOM)

  • Expression for FOM of FM receiver:
    • FOM = Δf / (S/N)
  • Expression for FOM of AM receiver:
    • FOM = μ / (S/N)

Noise and Noise Equivalent Bandwidth

  • Definition of noise:
    • Random fluctuations in the signal
  • Noise Equivalent Bandwidth:
    • The bandwidth of an ideal filter that would pass the same noise power as the actual filter
    • NBW = ∫[|H(f)|^2 df]

PPM (Pulse Position Modulation)

  • Generation and detection:
    • Uses a pulse generator and a delaying circuit to modulate the pulse position
    • Demodulated using a synchronizer and a low-pass filter
  • Block diagram and equations:

PAM (Pulse Amplitude Modulation)

  • Generation and recovery:
    • Uses a pulse generator and an amplitude modulator to modulate the pulse amplitude
    • Demodulated using a synchronizer and a low-pass filter
  • Block diagram and equations:

Quantization and PCM (Pulse Code Modulation)

  • Sampling theorem:
    • f_sampling &gt;= 2 * f_max
  • Necessity of digitizing analog signals:
    • To enable digital processing and transmission of analog signals
  • PCM system:
    • Consists of sampling, quantization, and encoding
    • Block diagram and equations:

Q & A

  • Calculate the Nyquist rate, number of bits required to encode a sample, and the quantization step for a given PCM system scenario.

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Prepare for the Principles of Communication Systems Fifth Semester B.E. Degree Examination with this model question paper. The paper covers topics like standard form of amplitude modulation, spectral equation of AM wave, and AM spectrum.

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