EC > GATE 2024 > Digital Communication
A digital communication system transmits through a noiseless bandlimited channel [-W, W]. The received signal z(t) at the output of the receiving filter is given by z(t) = Σn b[n] x(t − nT) where b[n] are the symbols and x(t) is the overall system response to a single symbol. The received signal is sampled at t = mT. The Fourier transform of x(t) is X(f). The Nyquist condition that X(f) must satisfy for zero intersymbol interference at the receiver is
A
Σm = −∞ X(f + m/T) = T
B
Σm = −∞ X(f + m/T) = 1/T
C
Σm = −∞ X(f + mT) = T
D
Σm = −∞ X(f + mT) = 1/T

Correct : B

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