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VKSF 341- Exercise 2

Student Name

1. A sine wave completes 1000 cycles in one second. What is its period?

2. What is the phase shift in degrees corresponding to each of the following shift in cycles:

a. ¾ cycle

b. 1/3 cycle

3. Consider a single sine wave with 90 degrees phase change. If the maximum amplitude is A, and the period is P seconds, what is the amplitude at P/2 seconds?

4. Given the following periods, calculate the corresponding frequencies in units specified below it

a. 5 s

_________Hz

b. 12 (

_________MHz

c. 220 ns

_________GHz

d. 81 ps

_________THz

5. What is the phase shift in the following signals?

a. A sine wave with the maximum amplitude at time zero.

b. A sine wave with minimum amplitude at time 0 and increasing.

6. What is the bit rate for each of the following signals – give in units specified below?

a. A signal in which a bit lasts 0.001 second.

_________bps

b. A signal in which a bit lasts 2 milliseconds.

_________bps

c. A signal in which 10 bits last 20 microseconds.

_________kbps

d. A signal in which 1000 bits last 250 picoseconds.

_________Tbps

7. What is the duration of a bit for each of the following signals?

a. A signal with a bit rate of 100 bps.

_________sec

b. A signal with a bit rate of 200 Kbps.

_________(sec

c. A signal with a bit rate of 5 Mbps.

_________(sec

d. A signal with a bit rate of 1 Gbps.

_________nano sec

8. Given a complex signal with the following frequency spectrums. What is the bandwidth in Khz? What should be the sampling rate for this complex signal? ( give your answer in samples /sec)

a. 600Hz – 6khz

bw = _____________Khz, sampling rate = _______________samples/sec

b. 300hz – 3.4khz

bw = _____________Khz, sampling rate = _______________samples/sec

c. 6Khz – 6 Mhz

bw = _____________Khz, sampling rate = _______________samples/sec

Part II – Encoding

Sample encoding given below

The eighth bit for every ASCII transmission is a binary 0. However, the individual bits in each byte are transmitted in a right-to-left sequence. Manchester encoding uses an inversion at the middle of each bit interval for both synchronization and bit representation. A negative-to-positive transition represents a binary 1 and a positive-to-negative transition represents a binary 0. Thus, transmission of the ASCII value "R" in 8-bits in Manchester is 01010010 and appears on the physical media as:

[pic]

9. Encode the sequence PO in the template given below, using NRZ_L

[pic]

10. Evaluate the Manchester encoded ASCII sequence shown below and label each binary value.

[pic]

11. How many bits can be encoded in a signal unit for the following modulation schemes?

a. 4 amplitudes and 4 phases

b. 4 amplitudes and 4 frequencies

c. 8 amplitudes and 4 phases

12. Given the bit rate and the modulation scheme – what is the baud rate?

a. 2 kbps in 4PSK

b. 8kbps in 8QAM

c. 1 kbps in 32 QAM

d. 1kbps in 32 PSK

13. In the above example (question 12) what will the baud rate in each case if the channel capacity is used in full duplex?

a.

b.

c.

d.

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