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# Assignment No. 3 Semester: Spring 2015 Data Communication - CS601 Total Marks: 12 Due Date: 27/07/2015

Objective:

To have the understanding of Transmission Impairments

and Performance of Transmission Medium.

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Question No.1:

Consider a noisy channel in which the value of the signal-to-noise ratio is 2500

and the channel capacity according to Shannon Capacity formula is 33840 bps.

Find its bandwidth? Provide your answer with full calculation and correct unit.

 Calculation Bandwidth with proper Unit

Question No. 2:

Suppose a signal travels through a transmission medium and due to some

reasons its power is reduced to quarter. You are required to measures the relative strength of this signal before and after power loss. Provide your answer with full calculation and correct unit.

 Calculation Relative signal strength before and after power loss with unit

Note: Give you solution with all relevant calculations in given tables.

Views: 7219

### Replies to This Discussion

Question No.1:

Consider a noisy channel in which the value of the signal-to-noise ratio is 2500 and the channel capacity according to Shannon Capacity formula is 33840 bps. Find its bandwidth? Provide your answer with full calculation and correct unit.

C=B log2(1+S/N)
B=C/log2(1=S/N)
B=33840/log2(2501)
B=2997.8207H

Q2

Suppose a signal travels through a transmission medium and due to some reasons its power is reduced to quarter. You are required to measures the relative strength of this signal before and after power loss. Provide your answer with full calculation and correct unit.

dB=10 log10(0.25P1/P1)

=10 (-0.6)

=-6.02

So P2 =-6.02

We know that P2 = 0.25 P1

There for P1=P2/0.25

=-6.02/0.25

=-24

sir plz ap kiyon wrong solution post klarty hain...... plz mis quid to mat karain

sir is main -6 agr second point pe strength ha to, -24 jo ha wo -6 se kam  ha to point first pe kasy mumkin ha k second point se ziyada ho gi kam to nahi........

Answer to first I found was: B = 2998 Hz

Second : Before loss: -+0dB

After Power loss: -6dB

Question No.1:

Consider a noisy channel in which the value of the signal-to-noise ratio is 2500 and the channel capacity according to Shannon Capacity formula is 33840 bps. Find its bandwidth? Provide your answer with full calculation and correct unit.

 Calculation Bandwidth with proper Unit

Question No. 2:

Suppose a signal travels through a transmission medium and due to some reasons its power is reduced to quarter. You are required to measures the relative strength of this signal before and after power loss. Provide your answer with full calculation and correct unit.

 Calculation Relative signal strength before and after power loss with unit

Note: Give you solution with all relevant calculations in given tables.

# Spring 2015 (Total Marks 15)

31st July 2015, 23:59, 2015

STUDENTS ARE STRICTLY DIRECTED TO SUBMIT THEIR ASSIGNMENT BEFORE OR BY DUE DATE. NO ASSIGNMNENT AFTER DUE DATE WILL BE ACCEPTED VIA E.MAIL).

### Rules for Marking

It should be clear that your Assignment will not get any credit IF:

• The Assignment submitted, via email, after due date.
• The submitted Assignment is not found as MS Word document file.
• There will be unnecessary, extra or irrelevant material.
• The Statistical notations/symbols are not well-written i.e., without using MathType software.
• The Assignment will be copied from handouts, internet or from any other student’s file. Copied material (from handouts, any book or by any website) will be awarded ZERO MARKS. It is PLAGIARISM and an Academic Crime.
• The medium of the course is English. Assignment in Urdu or Roman languages will not be accepted.
• Assignment means Comprehensive yet precise accurate details about the given topic quoting different sources (books/articles/websites etc.). Do not rely only on handouts. You can take data/information from different authentic sources (like books, magazines, website etc) BUT express/organize all the collected material in YOUR OWN WORDS. Only then you will get good marks.

### Objective(s) of this Assignment:

This assignment will strengthen the basic idea about the concept of the following distributions:

• Binomial distribution
• Hypergeometric distribution
• Poisson distribution
• Normal distribution

Assignment No: 2 (Lessons 28 – 30)

Question 1:                                                                                                       Marks: 3+4=7

a)      A box contains 4 red and 5 white flowers. A random sample of 6 flowers is drawn without replacement from the box. Find the probability that the sample contains 3 red flowers.

b)      If X is binomially distributed with mean 8 and variance 4.8, then find the parameters of binomial distribution.

Question 2:                                                                                                          Marks: 3+5=8

a)       Suppose the number of defective screws produced by a machine per day follows Poisson distribution with parameter 2. What is the probability that, out of the total production of the day, there are at least one defective screw?

b)       The  Army  reports  that  the  distribution  of  head  circumferences  among  soldiers is  approximately  normal  with  mean  23.4 inches  and  standard  deviation 1.4 inches. What  percent  of  soldiers  have  a  head  circumference  between  21.0  inches and   24.0  inches?

Assignment No: 2 (Lessons 28 – 30)

salam if you  ,ve solution of this assignment please.

Question 1:                                                                                                       Marks: 3+4=7

a)      A box contains 4 red and 5 white flowers. A random sample of 6 flowers is drawn without replacement from the box. Find the probability that the sample contains 3 red flowers.

b)      If X is binomially distributed with mean 8 and variance 4.8, then find the parameters of binomial distribution.

Question 2:                                                                                                          Marks: 3+5=8

a)       Suppose the number of defective screws produced by a machine per day follows Poisson distribution with parameter 2. What is the probability that, out of the total production of the day, there are at least one defective screw?

b)       The  Army  reports  that  the  distribution  of  head  circumferences  among  soldiers is  approximately  normal  with  mean  23.4 inches  and  standard  deviation 1.4 inches. What  percent  of  soldiers  have  a  head  circumference  between  21.0  inches and   24.0  inches?

Theory of Automata (CS402)

Total marks = 20

Deadline Date = July 31, 2015

Rules for Marking

It should be clear that your assignment would not get any credit if:

• The assignment is submitted after the due date.
• The submitted assignment does not open or file is corrupt.
• Strict action will be taken if submitted solution is copied from any other student or from the internet.

1)      You should concern the recommended books to clarify your concepts as handouts are not sufficient.

2)      You are supposed to submit your assignment in .doc format. Any other formats like scan images, PDF, zip, rar and bmp etc will not be accepted.

Note:

No assignment will be accepted after the due date via email in any case (whether it is the case of load shedding or internet malfunctioning etc.). Hence refrain from uploading assignment in the last hour of deadline. It is recommended to upload solution file at least two days before its closing date.

For any query, feel free to email at:

cs402@vu.edu.pk

Q. Prove the equivalence of the given two FAs by computing (L1 Ç L2c)È (L1c Ç L2).

Note: All transition tables are required.

Best of luck!

which one is correct please tell me???

 1 Shannon Capacity Formula C=B*log2 (1+S/N) Putting the values C=33840*log2 (1+2500) C = 381996 bps 2

Shannon Capacity Formula

C=B*log2 (1+S/N)

 33840=Blog2(1+2500) 33840=B(11.288)

33840/11.288 Hz = B

Abrar bhai 2nd one is right

Aaslamu laikum bhai , kia ap log ke sab step bata sakty hain ? is main log2 2501 = ? kasy karain? shukiya

Question No.1:

Consider a noisy channel in which the value of the signal-to-noise ratio is 2500 and the channel capacity according to Shannon Capacity formula is 33840 bps. Find its bandwidth? Provide your answer with full calculation and correct unit.

• C=B log2(1+S/N)
• B=C/log2(1=S/N)
•  B=33840/log2(2501)
•  B=2997.8207H

Q2

Suppose a signal travels through a transmission medium and due to some reasons its power is reduced to quarter. You are required to measures the relative strength of this signal before and after power loss. Provide your answer with full calculation and correct unit.

dB=10 log10(0.25P1/P1)

=10 (-0.6)

=-6.02

So P2 =-6.02

We know that P2 = 0.25 P1

There for P1=P2/0.25

=-6.02/0.25

=-24