Q1.Let the Laplace transform of a function F(t) which exists for t > 0 be F1(s) and
the Laplace transform of its delayed version be the
complex conjugate of F1(s) with the Laplace variable set as s=σ + jw. If G(s) = , then the inverse Laplace transform of G(s) is
Q2.During transmission over a certain binary communication channel, bit errors occur independently with probability p. The probability of AT MOST one bit in error in a block of n bits is given by
Q3.A zero mean random signal is uniformly distributed between limits –a and +a and its mean square value is equal to its variance. Then the r.m.s value of the signal is
Q4.In a GSM system, 8 channels can co-exist in 200 kHz bandwidth using TDMA.
A GSM based cellular operator is allocated 5 MHz bandwidth. Assuming a
frequency reuse factor of 1/5, i.e. a five-cell repeat pattern, the maximum number
of simultaneous channels that can exist in one cell is
Q5.The response h(t) of a linear time invariant system to an impulse δ(t) , under
initially relaxed condition is The response of this system for a
unit step input u(t) is
Q6.In a Direct Sequence CDMA system the chip rate is 1.2288 × 106 chips per
second. If the processing gain is desired to be AT LEAST 100, the data rate
Q8.An air-filled rectangular waveguide has inner dimensions of 3 cm × 2 cm.
The wave impedance of the TE2 mode of propagation in the waveguide at a
frequency of 30 GHz is (free space impedance η0 = 377Ω)
A periodic voltage waveform observed on an oscilloscope across a load is shown. A permanent magnet moving coil (PMMC) meter connected across the same load reads