Q1) In Figure below(a), a system is shown with input signal x(t) and output signal y(t). The input signal has the Fourier transform X(jw) shown in Figure below.(b). Determine and sketch Y(jw), the spectrum of y(t)

Consider the signal x(t) and its Fourier transform X(@). The signal x(t) is given by x(t) = 311(t – 1) where II(t) is the unit pulse function. What is the value of X(@) at the frequency f = 0. 25HZ? Select the one correct answer from the values below (answers are given to two decimal places). O j2.70 O 2.90 - jo.74 O -jo.90 -j2.70

Explain the Fourier Transform and its applications in signal processing. How does it help in analyzing the frequency components of a signal?

x(t) is a continuous time (CT), non periodic signal as shown in the figure.