List of top Instrumentation Engineering Questions on Signals and Systems asked in TS PGECET

Find the inverse Fourier transform of \( F(f) = \frac{3\pi f}{1 + j\pi f} \)

A signal \( x(t) = 5 \cos(150\pi t - 60^\circ) \) is sampled at 200 Hz. The fundamental period of the sampled sequence \( x(n) \) is:

A bandlimited signal with highest frequency content of 1000 Hz is undergoing uniform sampling. The minimum sampling frequency required to recover the original signal is:

Which of the following sequence \( f(n) \) has z-transform \( X(z) = e^{1/z} \)?

If a real function \( f(t) \) has a Fourier Transform \( F(\omega) \), then the Fourier transform of \( f(t) - f(-t) \) is:

For the active filter shown, the DC gain and the 3 dB cutoff frequency are nearly: \[ C_1 = 1.0\ \text{nF},\ R_1 = 15.9\ \text{k}\Omega,\ R_2 = 159\ \text{k}\Omega \]