Question: Consider a discrete memory less source whose alphabet consists of K equiprobable symbols. (a) Explain why the use of a fixed-length code for the representation

Consider a discrete memory less source whose alphabet consists of K equiprobable symbols.

(a) Explain why the use of a fixed-length code for the representation of such a source is about as efficient as any code can be.

(b) What conditions have to be satisfied by K and the code-word length for the coding efficiency to be 100 percent?

Step by Step Solution

★★★★★

3.55 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a With K equiprobable symbols the probability of symbol sis The average code word length is Pk Psk ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

19-E-T-E-C-S (126).docx

120 KBs Word File

Students Have Also Explored These Related Telecommunication Engineering Questions!

Q:

Consider a discrete memory less source with source alphabet L {s 0 , s 1 ,. . . , s k1 ) and source statistics (p 0 , p 1 , ... p k1 ,) The nth extension of this source is another discrete memory...

Q:

Consider a discrete memory less source with alphabet (s 0 , s 1 , s 2 ,) and statistics {0.7, 0.15, 0.15) for its output. (a) Apply the Huffman algorithm to this source. Hence, show that the average...

Q:

Consider a discrete memory less source with source alphabet L = {s0, s1, s2,) and source statistics [0.7, 0.15, 0.15]. (a) Calculate the entropy of the source. (b) Calculate the entropy of the...

Q:

A discrete memory less source has an alphabet of seven symbols whose probabilities of occurrence are as described here: Symbol s 0 s 1 s 2 s 3 s 4 s 5 s 6 Probability 0.25 0.25 0.125 0.125 0.125...

Q:

Portray in words what transforms you would have to make to your execution to some degree (a) to accomplish this and remark on the benefits and detriments of this thought.You are approached to compose...

Q:

A creative engineer suggests structuring the TLB so that not all the bits of the presented address need match to result in a hit. Suggest how this might be achieved, and what might be the costs and...

Q:

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

Q:

ttth Suppose that the sequence of bags {Bn | n N} is recursively enumerated by the computable function e(n, x) = fn(x), [7 marks] Hence prove that the set of all recursive bags cannot be recursively...

Q:

Suppose that R(A, B, C) is a relational schema with functional dependencies F = {A, B C, C B}. (i) Is this schema in 3NF? Explain. [2 marks] (ii) Is this schema in BCNF? Explain. [2 marks] (b)...

Q:

Prolog You are approached to compose a Prolog program to work with twofold trees. Your code shouldn't depend on any library predicates and you ought to expect that the mediator is running without...

Q:

Develop brief answers to each of the following questions: 1. What determines whether bonds are issued at a discount, premium, or face value? 2. Why does the market price of a bond vary over time? 3....

Q:

Air flowing at 20 kg/min enters the insulated compressor of Fig. 4.44 at 100 kPa and 20°C and exits at 800 kPa. The minimum work rate required to compress the air, assuming constant specific...

Q:

The stage of change when someone goes from not believing they have a health issue to beginning to consider change is

Q:

McMorris Publications Inc. is considering two new magazine products. The estimated net cash flows from each product are as follows: Each product requires an investment of $400,000. A rate of 10% has...

Q:

The following selected data were taken from the financial statements of Vidahill Inc. for December 31, 20Y7, 20Y6, and 20Y5: The 20Y7 net income was $411,000, and the 20Y6 net income was $462,500. No...

Q:

While Clara Novak was sick, her daughter Janie helped her in many ways. Clara died, and Janie then claimed that she was entitled to be paid for the services she had rendered her mother. This claim...

Q:

Sneed Industries Company sells vehicle parts to manufacturers of heavy construction equipment. The Crane Division is organized as a cost center. The budget for the Crane Division for the month ended...

Q:

Edward Johnson III, the CEO and principal owner of the worlds largest mutual fund company, Fidelity Investments, Inc., was a longtime tennis buddy of Richard Larson. In 1995, Johnson asked Larson,...

Q:

Many home barbeques are fueled with propane gas (C 3 H 8 ). What mass of carbon dioxide (in kg) is produced upon the complete combustion of 18.9 L of propane (approximate contents of one 5-gallon...

Q:

Now show the required steps during handover for a solution with a PEP. What are the state and function of foreign agents, home agents, correspondent host, mobile host, PEP and care-of-address before,...

Q:

What are the influences of encryption on the proposed schemes? Consider for example IP security that can encrypt the payload, i.e., the TCP packet.

Q:

What are the primary goals of the WAP Forum efforts and how are they reflected in the initial WAP protocol architecture?

Q:

What migration paths does WAP 1.x offer for Internet and telephony applications and their protocols? Compare with WAP 2.0.

Q:

Is WDP a fixed protocol and why does WAP not define a SAP which WDP can use?

Q:

HELP PLEASE (Individual or component costs of capital) Compute the cost of capital for the firn for the folowing a. Currently bonds with a simlar credt rating and matunty as the firris cutatanding...