Tutorial- 6 (Sampling)
1. The signal ( ) is sampled at 75Hz. What is the common
period of the sampled signal [ ] and how many full periods of ( ) does it takes to
obtain one period of [ ]
2. Calculate the nyquist sampling rate for ( ) ( )( ).
3. Determine the nyquist rate of the following signals
a. ( ) ( )
b. ( ) ( )
c. ( ) ( ) ( )
d. ( ) ( ) ( )
e. ( ) ( ) ( )
f. ( ) ( ) ( )
4. The signal ( ) where t is in seconds is sampled at a rate of
9000samples/second. The sampled signal is an input to the ideal low pass filter H(f) as
follows
( ) {
What is the number of sinusoids in the output and their frequencies in kHz?
5. Consider a sampled signal ( ) ( )∑ ( ) where ( )
( ) and When ( ) is passed through an ideal low pass
filter of cut off frequency 5kHz. Determine the output of the filter.