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Multi-rate sampling

Total questions: 4

Worksheet time: 4mins

Name
Class
Date
1.

Consider the set of whole numbers as a sequence given as input x[n] for a system. The process of selecting even numbers as output of the system is equivalent to

a)

Downsample the input by a factor 2

b)

Upsample the input by a factor 2

c)

Downsample the input by a factor 4

d)

Upsample the sequence by a factor 4

2.

A sequence is given as  x[n]={1,2,3,4,5}x\left[n\right]=\left\{1,2,3,4,5\right\}  . Determine the upsampling of the sequence by a factor 2

a)

 {1,2,3,4,5}\left\{1,2,3,4,5\right\}  

b)

 {1,1,2,2,3,3,4,4,5,5}\left\{1,1,2,2,3,3,4,4,5,5\right\}  

c)

 {1,0,2,0,3,0,4,0,5,0}\left\{1,0,2,0,3,0,4,0,5,0\right\}  

d)

 {1,1.5,2,2.5,3,3.5,4,4.5,5,5.5}\left\{1,1.5,2,2.5,3,3.5,4,4.5,5,5.5\right\}  

3.

Studio-quality audio is represented as 48000 samples per second. A data to be written in CD requires 44100 samples per second. To write the studio quality audio in CD it is required to,

a)

increase the sampling rate by a factor of 2

b)

decrease the sampling rate by a factor of 2

c)

Downsample by a factor of 80 followed by upsampling by 67

d)

Upsample by a factor of 80 followed by dowsampling by 67

4.

Aliasing is caused due to

a)

low frequency component

b)

high frequency component

c)

interference of low frequency component with high frequency component

d)

No interference