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GATE ECE
Noise In Digital Communication
Communications
Previous Years Questions
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Marks 1
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A sinusoidal message signal is converted to a PCM signal using a uniform quantizer. The required signal to quantization ...
GATE ECE 2017 Set 2
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A binary baseband digital communication system employs the signal $$$p\left( t \right) = \left\{ {\matrix{ {{1 \ove...
GATE ECE 2016 Set 3
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A sinusoidal signal of amplitude A is quantized by a uniform quantizer. Assume that the signal utilizes all the represen...
GATE ECE 2015 Set 2
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The capacity of a Binary Symmetric Channel (BSC) with cross - over probability 0.5 is ______ .
GATE ECE 2014 Set 1
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Consider the pulse shape s(t) as shown. The impulse response h(t) of the filter matched to this pulse is ...
GATE ECE 2010
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Marks 2
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An analog pulse s(t) is transmitted over an additive white Gaussian noise (AWGN) channel. The received signal is r(t) = ...
GATE ECE 2016 Set 1
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A digital communication system uses a repetition code for channel encoding/decoding. During transmission, each bit is re...
GATE ECE 2016 Set 1
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A source emits bit 0 with probability $${1 \over 3}$$ and bit 1 with probability $${2 \over 3}$$. The emitted bits are c...
GATE ECE 2015 Set 1
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The input X to the Binary Symmetric Channel (BSC) shown in the figure is ‘1’ with probability 0.8. The cross-over proba...
GATE ECE 2015 Set 1
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Consider a binary, digital communication system which uses pulses g (t) and − g (t)for transmitting bits over an AWGN ch...
GATE ECE 2015 Set 2
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Consider a discrete-time channel Y = X + Z, where the additive noise Z is signal- dependent. In particular, given the tr...
GATE ECE 2014 Set 4
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Consider a communication scheme where the binary valued signal X satisfies P{X = + 1} = 0.75 and P {X = - 1} = 0.25. The...
GATE ECE 2014 Set 4
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Coherent orthogonal binary FSK modulation is used to transmit two equiprobable symbol waveforms $${s_1}\,(t)\, = \,\alp...
GATE ECE 2014 Set 2
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Let U and V be two independent zero mean Gaussian random variables of variances $${{1 \over 4}}$$ and $${{1 \over 9}}$$ ...
GATE ECE 2013
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A binary symmetric channel (BSC) has a transition probability of 1/8. If the binary transmit symbol X is such that P(X ...
GATE ECE 2012
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A BPSK scheme operating over an AWGN channel with noise power spectral density of N02, uses equi-probable signals $$$...
GATE ECE 2012
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A four phase and an eight-phase signal constellation are shown in the figure below. Assuming high SNR and that all ...
GATE ECE 2011
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A four phase and an eight-phase signal constellation are shown in the figure below. For the constraint that the mini...
GATE ECE 2011
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Consider a base band binary PAM receiver shown below. The additive channel noise $$n(t)$$ is white with power spectral d...
GATE ECE 2010
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Consider a base band binary PAM receiver shown below. The additive channel noise $$n(t)$$ is white with power spectral d...
GATE ECE 2010
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The amplitude of random signal is uniformly distributed between $$-$$5V and 5V If the positive values of the signal are...
GATE ECE 2009
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The amplitude of random signal is uniformly distributed between $$-$$5V and 5V If the signal to quantization noise rati...
GATE ECE 2009
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Consider a Binary Symmetric Channel (BSC) with probability of error being 'p'. To transit a bit, say 1, we transmit a se...
GATE ECE 2008
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Two 4-ray signal constellations are shown. It is given that $${\phi _1}$$ and $${\phi _2}$$ constitute an orthonormal ba...
GATE ECE 2007
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Two 4-ray signal constellations are shown. It is given that $${\phi _1}$$ and $${\phi _2}$$ constitute an orthonormal ba...
GATE ECE 2007
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An input to a 6-level quantizer has the probability density function f(X) as shown in the figure. Decision boundaries of...
GATE ECE 2007
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An input to a 6-level quantizer has the probability density function f(X) as shown in the figure. Decision boundaries of...
GATE ECE 2007
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During transmission over a certain binary communication channel, bit errors occurs independently with probability p. The...
GATE ECE 2007
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Let $$g\left( t \right){\mkern 1mu} {\mkern 1mu} \,\,\,\,\,{\mkern 1mu} = {\mkern 1mu} {\mkern 1mu} p\left( t \right){}...
GATE ECE 2006
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In the following figure the minimum value of the constant “C”, which is to be added to y1(t) such that y1(t) and y2(t) a...
GATE ECE 2006
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A symmetric three-level midtread quantizer is to be designed assuming equiprobable occurrence of all quantization levels...
GATE ECE 2005
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A symmetric three-level midtread quantizer is to be designed assuming equiprobable occurrence of all quantization levels...
GATE ECE 2005
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A signal as shown in figure is applied to a matched filter. Which of the following does represent the output of this mat...
GATE ECE 2005
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Consider a binary digital communication system with equally likely $$0’s$$ and $$1’s$$. When binary $$0$$ is transmitted...
GATE ECE 2004
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A sinusoidal signal with peak-to-peak amplitude of 1.536V is quantized into 128 levels using a mid-rise uniform quantize...
GATE ECE 2003
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If Eb, the energy per bit of a binary digital signal, is 10-5 watt-sec and the one-sided power spectral density of the w...
GATE ECE 2003
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During transmission over a communication channel, bit errors occur independently with probability 'p'. If a block of n b...
GATE ECE 2001
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The input to a matched filter is given by $$$S\left( t \right) = \left\{ {\matrix{ {10\sin \left( {2\pi \times {{10...
GATE ECE 1999
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The peak-to-peak input to an 8-bit PCM coder is 2 volts . The signal power - to -quantization noise power ratio (in dB) ...
GATE ECE 1999
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In a digital communication system, transmissions of successive bits through a noisy channel are assumed to be independen...
GATE ECE 1988
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A signal having uniformly distributed amplitude in the interval ( -V, +V ) is to be encoded using PCM with uniform quant...
GATE ECE 1988
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Companding in PCM systems leads to improved signal - to - quantization noise ratio. This improvement is for
GATE ECE 1987
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