PYQs Based test 6: Signals & Systems

Which of the following statements is true about the two-sided Laplace transform?

Two discrete-time linear time-invariant systems with impulse responses

h ₁[n] = δ[n - 1] + δ[n + 1] and h ₂[n] = δ[n] + δ[n - 1] are connected in cascade, where δ[n] is the Kronecker delta. The impulse response of the cascaded system is

For a periodic square wave, which one of the following statements is TRUE?

The symbols, a and T, represent positive quantities, and u(t) is the unit step function. Which one of the following impulse responses is NOT the output of a causal linear time-invariant system?

x(t) is nonzero only for $T_x<t<T{}_x^{\prime }$, and similarly, y(t) is nonzero only for $T_y<t<T{}_y^{\prime }$. Let z(t) be convolution of x(t) and y(t). Which one of the following statements is TRUE?