Consider a continuous-time signal x(t) defined by x(t)=0 for |t|>1, and x(t)=1-|t| for |t| \leq Let the Fourier transform of x(t) be defined as X(\omega)=\int_{-\infty}^{\infty} x(t) e^{-j o t} d t. The maximum magnitude of X(\omega) is ____________.

GATE Electrical Engineering (EE) 2021 Solved Papers

Question : 48 of 65

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Consider a continuous-time signal

x(t)

defined by

x(t)=0

for

|t|>1

, and

x(t)=1-|t|

for

|t| ≤

Let the Fourier transform of

x(t)

be defined as

X(ω)=∫↙{-∞}↖{∞} x(t) e^{-j o t} d t

. The maximum magnitude of

X(ω)

is ____________.

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