engineering recuitment GATE IN Test Series 2023-24 Mock Test Signals and Systems Discrete Time Signals and Systems Elementary Discrete Time Signals
A discrete time signal x(n) defined as –
x(n) = C1 exp (-jπn) + C2 exp (jπn)
Where C1 and C2 are arbitrary real number x(n) passes through a causal filter having impulse response of the form \(h\left( n \right) = \left\{ {\begin{array}{*{20}{c}} {0,\;a,\;b}\\ { \uparrow \;\;\;\;\;\;\;} \end{array}} \right\}\) produces an output y(n), such that:
y(n) = 0; 0 > n > 2
y(0) = 1 and y(1) = -1
Which of the following is/are incorrect?
1
a = 2, b = 2
2
a = 0.5, b = 1
3
C1 = 1, C2 = 1
4
C1 = 2, C2 = -2