engineering recuitment GATE IN Test Series 2023-24 Mock Test Communication Systems Passband Transmission Frequency Shift Keying (FSK)
The signal vector s1 and s2 are used to represent binary symbols 1 and 0, respectively, in a coherent binary FSK system. The receiver decides in favor of symbol 1 when
[X]T s1 > [X]T s2
Where [X]T si is the inner product of the observation vector [X] and signal vector si, where I = 1, 2, … If x1 and x2 are the elements of the observation vector [X] and the signal vector s1 and s2 have equal energy, then the given decision rule is equivalent to the condition.
1
x1 > x2
2
x1 < x2
3
x1 = x2
4
Can’t be determined