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

The Laplace transform of \( u(t) \) and its ROC is given as
The input \( x(t) \) is related to its output \( y(t) \) as: \( \frac{dy(t)}{dt} + y(t) = 3x(t - 3)u(t - 3) \). Here \( u(t) \) represents a step function. The transfer function of this system is

The overall impulse response of the system shown in figure is given by (Block diagram provided: Input $X(n)$ splits. One path goes to $h_1[n]$, another to $h_2[n]$. The outputs of $h_1[n]$ and $h_2[n]$ are subtracted. This result is convolved with $h_3[n]$. Separately, $X(n)$ also goes to $h_5[n]$. The output of $h_3[n]$ and $h_5[n]$ are subtracted. This result is convolved with $h_4[n]$ to produce $y(n)$.)

Consider two signals $x(n)=\{0,1,1,2\}$ and $h(n)=\{a,b,c\}$. The signal $y(n)=x(n)\otimes h(n)$. The DFT of $y(n)$ is given as $Y(e^{j\omega})$. If $Y(e^{j0})$ is 36, then which of the following relation is correct?
A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency which is not valid is