The sinusoid x(t) =6cos10πt is sampled at the rate of 15 Hz and applied to ideal rectangular LPF with cut-off frequency of 10 Hz, then the output of filter contains:

c)10π rad/sec and 20π rad/sec components

d)+10π rad/sec and +20π rad/sec components

A digital measuring instrument employs a sampling rate of 100 samples/second. The sampled input x(n) is averaged using the difference equation:

Y (n) =[x (n)+x (n-1)+x(n-2)+x(n-4)/4]For a step input, the maximum time taken for the output to reach the final value after the input transition is

An LTI system having transfer function s2+1/s2+2s+1 and input x(t) =sin(t+1) is in steady state. The output is sampled at ws rad/s to obtain the final output {y (k)}. Which of the following is true?

a)Y is zero for all sampling frequencies ws

b)Y is non zero for all sampling frequencies ws

c)Y is non zero for ws>2 but zero for ws

Y is zero for ws>2 but non zero for ws

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1.	The sinusoid x(t) =6cos10πt is sampled at the rate of 15 Hz and applied to ideal rectangular LPF with cut-off frequency of 10 Hz, then the output of filter contains:
A.	a)Only 10π rad/sec component
B.	b)10π rad/sec component
C.	c)10π rad/sec and 20π rad/sec components
D.	d)+10π rad/sec and +20π rad/sec components
Answer» C. c)10π rad/sec and 20π rad/sec components

Discussion

2.	A digital measuring instrument employs a sampling rate of 100 samples/second. The sampled input x(n) is averaged using the difference equation:
A.	Y (n) =[x (n)+x (n-1)+x(n-2)+x(n-4)/4]For a step input, the maximum time taken for the output to reach the final value after the input transition is
B.	a)20 ms
C.	b)40 ms
D.	c)80 ms
E.	d)∞
Answer» C. b)40 ms

Discussion

3.	An LTI system having transfer function s2+1/s2+2s+1 and input x(t) =sin(t+1) is in steady state. The output is sampled at ws rad/s to obtain the final output {y (k)}. Which of the following is true?
A.	a)Y is zero for all sampling frequencies ws
B.	b)Y is non zero for all sampling frequencies ws
C.	c)Y is non zero for ws>2 but zero for ws<2
D.	Y is zero for ws>2 but non zero for ws<2
Answer» B. b)Y is non zero for all sampling frequencies ws

Discussion