PYQs Based Test - 03 : Signals and Systems

The continuous time signal x(t) = cost (100 πt) + sin (300 πt) is sampled at the rate 100 Hz to get discrete signal xₛ(t) is passed through low pass filter with cut off frequency 100 Hz. The output of the filter

The Laplace transform representation of the triangular pulse shown below is

The input signal shown below



is passed through the filter with the following taps



The number of non-zero output samples is ____.

Given y(t) = e${}^{-3t}$ u(t) ∗ u(t + 3), where * denotes convolution operation. The value of y(t) as t → ∞ is ___________ (rounded off to two decimal places).

Consider the finite sequence X = (1, 1, 1). The Inverse Discrete Fourier Transform (IDFT) of X is given as (x(0), x(2)). The value of x(2) is