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If the signal x(t) = $${{\sin (t)} \over {\pi t}}*{{\sin (t)} \over {\pi t}}$$ with * denoting the convolution operation...
GATE ECE 2016 Set 3
The energy of the signal x(t) =$${{\sin (4\pi t)} \over {4\pi t}}$$ is ___________.
GATE ECE 2016 Set 2
Which one of the following is an eight function of the class of all continuous-time, linear, time- invariant systems u(t...
GATE ECE 2016 Set 1
Let x(t) $$\leftrightarrow$$ X($$(j\omega )$$ BE Fourier transform pair. The Fourier Transform of the signal x(5t - 3)...
GATE ECE 2006
The Fourier transform of a conjugate symmetric function is always
GATE ECE 2004
The Fourier transform F $$\left\{ {{e^{ - t}}u(t)} \right\}$$ is equal to $${1 \over {1 + j2\pi f}}$$. Therefore, $$F\le... GATE ECE 2002 If a signal f(t) has energy E, the energy of the signal f(2t) is equal to GATE ECE 2001 The Fourier Transform of the signal$$x(t) = {e^{ - 3{t^2}}}$$is of the following form, where A and B are constants: GATE ECE 2000 A signal x(t) has a Fourier transform X ($$\omega $$). If x(t) is a real and odd function of t, then X($$\omega $$) is GATE ECE 1999 A modulated signal is given by s(t)=$${e^{ - at}}$$cos$$\left[ {({\omega _c} + \Delta \omega )t} \right]$$u (t), whe... GATE ECE 1999 The amplitude spectrum of a Gaussian pulse is GATE ECE 1998 The Fourier transform of a function x(t) is X(f). The Fourier transform of$${{dx(t)} \over {dt}}$$will be GATE ECE 1998 The Fourier transform of a voltage of a voltage signal x(t) is X(f). The unit of |X(f)| is GATE ECE 1998 The function f(t) has the Fourier Transform g($$\omega $$). The Fourier Transform of$$$g(t) = \left( {\int\limits_{ - \... GATE ECE 1997 The Fourier transform of a real valued time signal has GATE ECE 1996 ## Marks 2 More The complex envelope of the bandpass signal $$x(t)\, = \, - \sqrt 2 \left( {{{\sin (\pi t/5)} \over {\pi t/5}}} \right)\... GATE ECE 2015 Set 3 The value of the integral$$\int_{ - \infty }^\infty {12\,\cos (2\pi )\,{{\sin (4\pi t)} \over {4\pi t}}\,dt\,} $$is GATE ECE 2015 Set 2 The value of the integral$$\int\limits_{ - \infty }^\infty {\sin \,{c^2}} $$(5t) dt is GATE ECE 2014 Set 2 For a function g(t), it is given that$$\int_{ - \infty }^\infty {g(t){e^{ - j\omega t}}dt = \omega {e^{ - 2{\omega ^2}... GATE ECE 2014 Set 1 The Fourier transform of a signal h(t) is $$H(j\omega )$$ =(2 cos $$\omega$$) (sin 2$$\omega$$) / $$\omega$$. The val... GATE ECE 2012 The signal x(t) is described by $$x\left( t \right) = \left\{ {\matrix{ {1\,\,\,for\,\, - 1 \le t \le + 1} \cr ... GATE ECE 2008 For a signal x(t) the Fourier transform is X(f). Then the inverse Fourier transform of X(3f+2) is given by GATE ECE 2005 Let x(t) and y(t) (with Fourier transforms X(f) and Y(f) respectively) be related as shown in Fig.(1) & (2). Then Y(f) ... GATE ECE 2004 The Hilbert transform of$$\left[ {\cos \,{\omega _1}t + \,\sin {\omega _2}t\,} \right]$$is GATE ECE 2000 The power spectral density of a deterministic signal is given by$${\left[ {\sin (f)/f} \right]^2}$$, where 'f' is frequ... GATE ECE 1997 If the Fourier Transfrom of a deterministic signal g(t) is G (f), then Item-1 (1) The Fourier transform of g (t - ... GATE ECE 1997 The autocorrelation function of an energy signal has GATE ECE 1996 If G(f) represents the Fourier transform of a signal g (t) which is real and odd symmetric in time, then GATE ECE 1992 ## Marks 5 More The Fourier transform$$G(\omega )$$of the signal g(t) in Fig.(1) is given as$$G(\omega ) = {1 \over {{\omega ^2}}}({... GATE ECE 2001 Consider a rectangular pulse g(t) existing between $$t = \, - {T \over 2}\,and\,{T \over 2}$$. Find and sketch the pulse... GATE ECE 1998 A signal v(t)= [1+ m(t) ] cos $$({\omega _c}t)$$ is detected using a square law detector, having the characteristic$\${v...
GATE ECE 1995

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