List of top Electric circuits Questions asked in GATE Biomedical Engineering

A discrete linear time invariant system has an impulse response function given by \[ h[n] = \delta[n] + \frac{1}{2}\delta[n - 1] + \frac{1}{3}\delta[n - 2]. \] For input signal \( x[n] = \delta[n] + \delta[n - 1] \), which of the following option(s) is/are CORRECT for the output signal \( y[n] \)?

A time domain signal is given by \[ x(t) = 20 \sin(100\pi t) + 36 \sin(150\pi t) - 2 \sin(300\pi t), \] where time \( t \) is in seconds. Among the following options, what is the frequency (in Hz) at which \( x(t) \) should be sampled for accurate signal reconstruction?