GATE 2024 Signals & Systems Rank Booster Quiz 25

If

Then, F^–1{5x(–2ω + 4)} = ________

An ideal phase shifter is defined by the frequency response,

H(ω) =

The impulse response of the above filter is______

A signal x(t) is shown below. Find the value of  where X(ω) is the Fourier transform of x(t).

x(t) is a positive rectangular pulse from t = –1 to t = 2 with unit height as shown in the figure. The value of, where X (w) is the Fourier transform of x(t) is _____

(Answer up to two decimal places)

Spectrum of a signal x(t) is x(ω) as shown below,

The value of signal x(t) at is_______

Fourier transform of is

Frequency response of a low-pass-filter is given below:

The impulse-response h(t) of this system is_______