Analysis of discrete convolution in the matlab program

SCIENTIFIC PROGRESS
 
VOLUME 2 ǀ ISSUE 4 ǀ 2021 
ISSN: 2181-1601
Uzbekistan
 
www.scientificprogress.uz
  
Page 1024
simple multiplications and sums. Consider two separate sequences of 5 samples each: x 
with values 4 2 1 2 3 and y with values 1 2 4 2 3.
Figure 3 
To show the time shift, we fill the first sequence with zeros, reflect the second 
sequence, and multiply the number of elements in the element by the first five samples. 
Combining the elements of the multiplication results, we get the number 4. We then 
move the first sequence to a single report and repeat the multiplication and addition 
operations. Thus, we calculate the elements of the y sequence. As you can see, we 
moved the first x and rotated the second h sequence. Indeed, there is no fundamental 
difference in the significance of this relative shift, but such a demonstration is not in 
vain.
LITERATURE REVIEW 
The first sequence can be thought of as an input signal, and the second as a type of 
system through which this signal passes. The result of the calculated linear discrete 
convolution includes more samples than each of the collected and the sequence. The 
built-in conv function can be used to quickly calculate the discrete convolution of 
MATLAB. In the command window, we create these two sequences and calculate their 
folds in one operation. Let’s create the vectors x, h and calculate the resulting y vector. 
we visualize the output sequence using the stem function. (Figure 4) 
Figure-4 
As we can see, the result is exactly the same as previously calculated. We now 
move from abstract mathematical calculations to the practical applications of 
convolution for digital signal processing, but for this we need to return for a moment to 
the analog world. Let us recall the basics of combining RC chains, the theory of 
electrons. 

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