Task 1. Translate and learn the following words and word combinations from Text A. Compose sentences with them.

To expand them into the processors; the most generalized digital filter structure; to comprise both…; to be controlled by; to be governed by; second-order integrated filters; to be commercially available for; to be compatible with; infinite memory; to be referred to; unconditionally stable; to be placed on the values; the inclusion of poles and zero; sharp cutoff filter characteristics; a modest number; group delay; outside the stable region.

Task 2. Compose texts of your own using the terminology of Scheme 1 and Scheme 2.

Scheme 1

 

 

What are the types of the programmable filters that can be used in the design of the adaptive filters?

Scheme 2.

Common words to be used to describe Scheme 2: 1. to present; 2. to comprise / to include both … and …; 3. to be controlled by; 4. to control; 5. to result in; 6. to be given by; 7. to have; 8. to be referred to

What is the Recursive filter design?

Task 3. Mark the following statements as true or false. Correct the false sentences.

1. There is one type of programmable filters that can be used in the design of the adaptive filters.

2. The most generalized digital filter structure is the recursive filter design.

3. The recursive filter design comprises only feed-forward multipliers.

4. This structure results in a pole filter design, where the pole locations are controlled by the «b» coefficients.

5. This recursive structure has theoretically an infinite memory and hence it is referred to as an infinite impulse response (IIR) filter design.

6. IIR is unconditionally stable unless restrictions are placed on the values of the «b» coefficients.

7. One drawback of the IIR design is that control is offered on the phase (group delay) response of the filter.

8. The major problem is the possible instability of the filter due to poles straying outside the stable region.

Task 4. Complete the table with relative parts of speech:

Noun	Adjective	Verb
weight
	available
		refer
inclusion
	compatible
restriction
		govern

Task 5. Answer the questions to Text A.

1. What types of programmable filters are used in the design of the Adaptive filters?

2. What is the most generalized digital filter structure?

3. What does the n-th-order difference equation, governing the response of this n-stage filter, show?

4. Is the number of poles and zeros (or order of the filter) given by the number of delay stages?

5. What order integrated filters are commercially available for input sample rates (64 kilobaud)?

6. What makes it possible to realize sharp cutoff filter characteristic incorporating a low transition bandwidth only with a modest number of delay stages?

Task 6. Single out the main points of the text.

Task 7. Translate the following text into English.

В настоящее время адаптивные фильтры широко используются для коррекции¹ (выравнивания) модемов. Эти модемы передают данные при скоростях от 2 400 бит/с до 16 000 бит/с по каналам передачи речевых сигналов².

Теоретически можно достичь еще более высоких скоростей. Но на практике трудно получить удовлетворительный коэффициент ошибки без использования более широких полос пропускания.

1- equalization

2- over speech-band channels

Task 8. Grammar Training. Translate the following sentences. Define the function of the Infinitive in each sentence.

1. Several types of programmable filters to be used in the design of the adaptive filters are the subject of this text.

2. The recursive filter design comprises both feed forward multipliers to be controlled by the “a” coefficients and feedback multipliers to be controlled by the “b” coefficients.

3. Second–order integrated filters are commercially available for input sample rates (64 kilobaud) to be compatible with digital telephony system.

4. The response of the n-stage filter is governed by the n-th – order difference equation to show that the value of the present filter output sample is given by a linear combination of the weighted present and past input samples as well as the previous output samples.

5. The first thing for us to do is to summarize the two basic filter designs.

6. It is necessary for the basic filter designs to be expended into the processors.

7. To realize sharp cutoff filter characteristics incorporating a low transition bandwidth with only a modest number of delay stages (i.e., low filter complexity) the inclusion of poles as well as zeros was necessary.

8. To understand the drawback of the IIR design is very important for our further research.

9. To explain the major problem with adaptive IIR filter design we shall consider the possible instability of the filter due to poles straying outside the stable region.

 

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