GATE ECE

Noise In Digital Communication

Communications

(Past Years Questions)

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
A binary baseband digital communication system employs the signal $$$p\left( t \right) = \left\{ {\matrix{ {{1 \ove...
GATE ECE 2016 Set 3
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
The capacity of a Binary Symmetric Channel (BSC) with cross - over probability 0.5 is ______ .
GATE ECE 2014 Set 1
Consider the pulse shape s(t) as shown. The impulse response h(t) of the filter matched to this pulse is ...
GATE ECE 2010

Marks 2

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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
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
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
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
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
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
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
Coherent orthogonal binary FSK modulation is used to transmit two equiprobable symbol waveforms $${s_1}\,(t)\, = \,\alp...
GATE ECE 2014 Set 2
Let U and V be two independent zero mean Gaussian random variables of variances $${{1 \over 4}}$$ and $${{1 \over 9}}$$ ...
GATE ECE 2013
A BPSK scheme operating over an AWGN channel with noise power spectral density of N02, uses equi-probable signals $$$...
GATE ECE 2012
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
A four phase and an eight-phase signal constellation are shown in the figure below. For the constraint that the mini...
GATE ECE 2011
A four phase and an eight-phase signal constellation are shown in the figure below. Assuming high SNR and that all ...
GATE ECE 2011
Consider a base band binary PAM receiver shown below. The additive channel noise $$n(t)$$ is white with power spectral d...
GATE ECE 2010
Consider a base band binary PAM receiver shown below. The additive channel noise $$n(t)$$ is white with power spectral d...
GATE ECE 2010
The amplitude of random signal is uniformly distributed between $$-$$5V and 5V If the signal to quantization noise rati...
GATE ECE 2009
The amplitude of random signal is uniformly distributed between $$-$$5V and 5V If the positive values of the signal are...
GATE ECE 2009
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
During transmission over a certain binary communication channel, bit errors occurs independently with probability p. Th...
GATE ECE 2007
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
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
Two 4-ray signal constellations are shown. It is given that $${\phi _1}$$ and $${\phi _2}$$ constitute an orthonormal ba...
GATE ECE 2007
Two 4-ray signal constellations are shown. It is given that $${\phi _1}$$ and $${\phi _2}$$ constitute an orthonormal ba...
GATE ECE 2007
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
Let $$g\left( t \right){\mkern 1mu} {\mkern 1mu} \,\,\,\,\,{\mkern 1mu} = {\mkern 1mu} {\mkern 1mu} p\left( t \right){}...
GATE ECE 2006
A signal as shown in figure is applied to a matched filter. Which of the following does represent the output of this mat...
GATE ECE 2005
A symmetric three-level midtread quantizer is to be designed assuming equiprobable occurrence of all quantization levels...
GATE ECE 2005
A symmetric three-level midtread quantizer is to be designed assuming equiprobable occurrence of all quantization levels...
GATE ECE 2005
Consider a binary digital communication system with equally likely $$0’s$$ and $$1’s$$. When binary $$0$$ is transmitted...
GATE ECE 2004
A sinusoidal signal with peak-to-peak amplitude of 1.536V is quantized into 128 levels using a mid-rise uniform quantize...
GATE ECE 2003
If Eb, the energy per bit of a binary digital signal, is 10-5 watt-sec and the one-sided power spectral density of the w...
GATE ECE 2003
During transmission over a communication channel, bit errors occur independently with probability 'p'. If a block of n b...
GATE ECE 2001
The peak-to-peak input to an 8-bit PCM coder is 2 volts . The signal power - to -quantization noise power ratio (in dB) ...
GATE ECE 1999
The input to a matched filter is given by $$$S\left( t \right) = \left\{ {\matrix{ {10\sin \left( {2\pi \times {{10...
GATE ECE 1999
A signal having uniformly distributed amplitude in the interval ( -V, +V ) is to be encoded using PCM with uniform quant...
GATE ECE 1988
In a digital communication system, transmissions of successive bits through a noisy channel are assumed to be independen...
GATE ECE 1988
Companding in PCM systems leads to improved signal - to - quantization noise ratio. This improvement is for
GATE ECE 1987

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