GATE ECE
Signals and Systems
Transmission of Signal Through Discrete Time Lti Systems
Previous Years Questions

## Marks 1

Consider a four-point moving average filter defined by the equation $$y[n] = \sum\limits_{i = 0}^3 {{\alpha _i}x[n - i]}$$. The condition on the filt...

## Marks 2

The direct form structure of an FIR (finite impulse response) filter is shown in the figure. The filter can be used to approximate a ...
A system with transfer function H(z) has impulse response h(.) defined as h(2) = 1, h(3) = - 1 and h (k) = 0 otherwise. Consider the following stateme...
A signal x(n)$$= \sin ({\omega _0}\,n + \phi )$$ is the input to a linear time-invariant system having a frequency response $$H({e^{j\omega }})$$.If ...

## Marks 4

A signal x(t) = $$\exp ( - 2\pi Bt)\,u(t)$$ is the input to an ideal low pass filter with bandwidth B Hz. The output is denoted by y(t). Evaluate \i...
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