Signals and System

Fourier transform of a Gaussian pulse is

• Uniform

• Gaussian

• A pair of impulses  

• Raleigh

• -0.5

• 0

• 0.25

• 0.5

The convolution of u(t) with u(t) will be equal to

• u(t)

• tu(t)

The trigonometric Fourier series of an even function does not have the

• dc term

• cosine term

• sine terms

• odd harmonic terms

y[n] denotes output and x [n] denotes input of a discrete-time system given by the diffrence equation y[n] - 0.8y[n - 1] = x[n] + 1.25x[n + 1]. Its right-sided impulse response is

• causal

• unbounded

• periodic

• non-negative

A signal x(t) is given by

Let x(t) be a periodic signal with time period T.Let y(t) = x(t - t0) + x(t + t0) for some t0.The Fourier series coeffients of y(t) are denoted by bk. If bk = 0 for all odd k, then t0 can be equal to

• T/8

• T/4

• T/2

• 2T

• y(t)

• 3.14 s

• 1.5 s

• 2.5 s

• 0.4 s

• a minimum

• a discontinuity.

• a point of inflection

• a maximum