3. Approbation of the received results

1. Input data for experiments are given in table

N = variant number

The description of a signal		Parameters
		A	B	C	D	THE STEP
Harmonious signal with frequency A with normally distributed noise (randn)	For even and odd variants	N*10 Hz				1/(5*N)
The harmonious signal, which frequency changes under law At^3+Bt^2+Ct+D	For even variants	2*N	5	3*N	1	1/1024
	For odd variants	1	3*N	5	10*N	1/1024
Sinusoid with changing frequency from A to B under laws C and D	For even variants	5*(N+5)	100*N	linear	quadratic	1/1024
	For odd variants	2*N	120 - N	линейный	Exp	1/1024
Sinusoid with frequency changing in steps: the first frequency And, further B, C and D	For even variants	10*N	20 - N	30+2*N	70 - 3*N	1/1024
	For odd variants	100	20*N	10*N	20+N^2	1/1024

2. To write the program calculating convolution of two signals, to issue it in the form of function Z=myCONV (A, B). To compare results of work of the program to function conv (A, B).

3. For signals to find convolution (using совою the program) according to the task. To explain the received results analytically.

A ={… 0,1,1,1,1,1,0, …}

B ={…, 0,1,2,3,0, …}

C ={…, 0,2,1,0.5,0, …}

D ={…, 0,1,2,3,4,5,0, …}

E ={…, 0,5,4,5,3,1,0, …}

F=sin (2*pi*t) +0.1*randn (1, length (t)); t=0:1/125:10;

G ={…, 0,2,1,2,0, …}

1. A*A

2. B*C; C*B

3. (D*E) *B; D * (E*B)

4. D * (E+B); D*E+D*B

5. F*A

6. F*G

4.Test Questions

1. What properties of convolution were used in laboratory work?

2. A convolution role in digital proceeding of signals..

3. In what difference of discrete convolution from the continuous?

4. How to present a discrete signal with use of convolution and delta - function.

List of References

1. Абраменкова И.В., Дьяконов В.П., Круглов В.В. Matlab 5.3.1 с пакетами расширений. Под ред. проф. В.П. Дьяконова. – М.: Нолидж, 2001. – 880 с.

2. Дьяконов В. Matlab. Обработка сигналов и изображений. Специальный справочник. – СПб.: Питер, 2002. – 608 с.

3. Thomas M. Cover J.O.Y A. Thomas. A Elements of Information Theory. Second Edition John Wiley &Sons, Inc., Publication, 2006, 774p.

Laboratory work 4 Methods of quantization and discretization of signals

The Purpose: Studying of processes of discretization and quantization of signals