The GATE Grind

GATE Communications: Analog Communications – Previous Year Questions

24 GATE previous year questions on Analog Communications (Communications, Electronics and Communication Engineering) with answers and explanations, from every paper.

  1. GATE 2015 EC Q32 (1 mark, Multiple choice) – A sinusoidal signal of 2 kHz frequency is applied to a delta modulator. The sampling rate and step-size of the delta modulator are 20,000 samples per…
  2. GATE 2015 EC Q33 (1 mark, Multiple choice) – Consider the signal s(t) = m(t)(2 f c t) + m(t)(2 f c t) where m(t) denotes the Hilbert transform of m(t) and the bandwidth of m(t) is very small…
  3. GATE 2015 EC Q61 (2 marks, Numerical answer) – In the system shown in Figure (a), m(t) is a low-pass signal with bandwidth W Hz. The frequency response of the band-pass filter H(f) is shown in…
  4. GATE 2016 EC Q26 (1 mark, Multiple choice) – The block diagram of a frequency synthesizer consisting of a Phase Locked Loop (PLL) and a divide-by-N counter (comprising 2, 4, 8, 16 outputs) is…
  5. GATE 2016 EC Q32 (1 mark, Numerical answer) – A superheterodyne receiver operates in the frequency range of 58 MHz - 68 MHz. The intermediate frequency f IF and local oscillator frequency f LO are…
  6. GATE 2016 EC Q33 (1 mark, Numerical answer) – The amplitude of a sinusoidal carrier is modulated by a single sinusoid to obtain the amplitude modulated signal s(t) = 5 1600 t + 20 1800 t + 5 2000…
  7. GATE 2016 EC Q62 (2 marks, Multiple choice) – An antenna pointing in a certain direction has a noise temperature of 50 K. The ambient temperature is 290 K. The antenna is connected to a…
  8. GATE 2018 EC Q25 (1 mark, Numerical answer) – Consider the following amplitude modulated signal: s(t)=(2000 t)+4(2400 t)+(2800 t). The ratio (accurate to three decimal places) of the power of the…
  9. GATE 2018 EC Q37 (2 marks, Multiple choice) – Let c(t)=A c(2 f ct) and m(t)=(2 f mt). It is given that f c5f m. The signal c(t)+m(t) is applied to the input of a non-linear system, whose output v…
  10. GATE 2018 EC Q49 (2 marks, Numerical answer) – The input 4\,sinc(2t) is fed to a Hilbert transformer to obtain y(t), as shown in the figure below. Here, sinc(x)=( x) x. The value (accurate to two…
  11. GATE 2019 EC Q32 (1 mark, Numerical answer) – The baseband signal m(t) shown in the figure is phase-modulated to generate the PM signal (t)=(2 f ct+k\,m(t)). The time t on the x-axis in the figure…
  12. GATE 2020 EC Q52 (2 marks, Multiple choice) – For the modulated signal x(t)=m(t)(2 f ct), the message signal m(t)=4(1000 t) and the carrier frequency f c is 1 MHz. The signal x(t) is passed…
  13. GATE 2020 EC Q57 (2 marks, Numerical answer) – S PM(t) and S FM(t) as defined below, are the phase modulated and the frequency modulated waveforms, respectively, corresponding to the message signal…
  14. GATE 2021 EC Q32 (1 mark, Numerical answer) – Consider a carrier signal which is amplitude modulated by a single-tone sinusoidal message signal with a modulation index of 50%. If the carrier and…
  15. GATE 2021 EC Q59 (2 marks, Numerical answer) – A sinusoidal message signal having root mean square value of 4 V and frequency of 1 kHz is fed to a phase modulator with phase deviation constant 2…
  16. GATE 2021 EC Q60 (2 marks, Numerical answer) – Consider a superheterodyne receiver tuned to 600 kHz. If the local oscillator feeds a 1000 kHz signal to the mixer, the image frequency (in integer)…
  17. GATE 2022 EC Q51 (2 marks, Multiple select) – Consider an FM broadcast that employs the pre-emphasis filter with frequency response H pe()=1+j 0, where 0=104 rad/sec. For the network shown in the…
  18. GATE 2023 EC Q27 (1 mark, Multiple choice) – Let m(t) be a strictly band-limited signal with bandwidth B and energy E. Assuming 0=10B, the energy in the signal m(t) 0t is
  19. GATE 2023 EC Q45 (2 marks, Multiple choice) – Let a frequency modulated (FM) signal x(t)=A( ct+k f -tm()d), where m(t) is a message signal of bandwidth W. It is passed through a non-linear system…
  20. GATE 2023 EC Q50 (2 marks, Multiple choice) – Let x 1(t) and x 2(t) be two band-limited signals having bandwidth B=4103 rad/s each. In the figure below, the Nyquist sampling frequency, in rad/s,…
  21. GATE 2024 EC Q28 (1 mark, Numerical answer) – An amplitude modulator has output (in Volts) s(t)=A(400 t)+B(360 t)+B(440 t). The carrier power normalized to 1\ resistance is 50 Watts. The ratio of…
  22. GATE 2025 EC Q14 (1 mark, Multiple choice) – Consider a frequency-modulated (FM) signal f(t)=A c(2 f ct+3(2 f 1t)+4(6 f 1t)), where A c and f c are, respectively, the amplitude and frequency (in…
  23. GATE 2025 EC Q28 (1 mark, Multiple select) – Consider a message signal m(t) which is bandlimited to [-W,W], where W is in Hz. Consider the following two modulation schemes for the message signal:…
  24. GATE 2026 EC Q57 (2 marks, Multiple select) – Consider a real, narrowband signal x(t)=A(t)[2 f ct+(t)] where the maximum frequency components of A(t) and (t) are f M and f c\,(=1000f M),…