1
GATE ECE 2016 Set 3
+2
-0.6
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
low-pass filter
B
high-pass filter
C
band-pass filter
D
band-stop filter
2
GATE ECE 2009
+2
-0.6
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 statements.
S1: H(z) is a low-pass filter.
S2: H(z) is an FIR filter.

Which of the following is correct?

A
Only S2 is true
B
Both S1 and S2 are false.
C
Both S1 and S2 are true, and S2 is a reason for S1.
D
Both S1 and S2 are true, but S2 is not a reason for S1.
3
GATE ECE 2005
+2
-0.6
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 the output of the system is $$Ax(n - {n_0})$$, then the most general form of $$\angle H({e^{j\omega }})$$ will be
A
$$- {n_0}{\omega _0} + \beta$$ for any arbitrary real $$\beta$$
B
$$- {n_0}{\omega _0} + 2\pi k$$ for any arbitrary integer k
C
$${n_0}{\omega _0} + 2\pi k$$ for any arbitrary integer k
D
$$-{n_0}{\omega _0} + \phi$$
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