PYQs Based Test - 03 : Signals and Systems

Two periodic signals x(𝑡) and 𝑦(𝑡) have the same fundamental period of 3 seconds. Consider the signal 𝑧(𝑡) = 𝑥(−𝑡) + 𝑦(2𝑡 + 1). The fundamental period of 𝑧(𝑡) in seconds is

The input-output relationship of an LTI system is given below.



For an input x[n] shown below



the peak value of the output when x[n] passes through h is ________

Let u(t) denote the unit step function. The bilateral Laplace transform of the function f(t) = e${}^t$ u(−t) is ____.

Consider the signal x(t) = e${}^{-|t|}$. Let X(jω) = $\underset{-\infty }{\overset{\infty }{\int }}x\left(t\right)e^{-j\omega t}dt$ be the Fourier transform of x(t). The value of X(j0) is

Let 3 + 4j be a zero of a fourth order linear-phase FIR filter. The complex number which is NOT a zero of this filter is