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Файл:Лекции Нигматуллин / L4_DSP_B.pptx
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- •Definition/
- •Example with cars crossing the bridge – average number during 5 minutes (example
- •Equivalent representation with the help of input
- •Equivalent representation with the help of input
- •Do not forget about the periodic properties in both spaces!
- •Original part: Ideal filtering formula -IFF
- •Example: How to transform directly the rectangle function to Dirichlet function?
- •Transformation of the part of the harmonic signal (red) to Dirichlet function (blue
- •You can realize these transformations with the help of the IFF. Any “pattern”
- •How to realize it with the help of the IFF?
- •The input and output (Pattern) functions can be obtained initially by different methods
- •Example:
- •The properties of the L-transform:
- •Idea in general case is clear. It is necessary to decompose the transfer
- •Illustration the concept of stability
- •The general idea – decomposition of the transfer function on a set of
- •Integration of original and L-image
- •Retardation theorem
- •Periodic rectangle signal
- •Multiplication/convolution theorem
- •Decomposition theorems
- •Frenel’s integrals
- •The unit (impulse) functions and their properties
- •Generalization
- •Laboratory work –p.2.
Decomposition theorems
Example
Power-law images
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Frenel’s integrals |
Other useful relationships |
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Example |
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The unit (impulse) functions and their properties
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Generalization
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Laboratory work –p.2.
Find the originals from the following L-images
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Логическая структура лекции 4 |
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Скользящее |
Конечная Имп. |
Свертка |
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Фильтрац. (КИФ) |
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среднее |
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Фор-ла (5.8) |
Графики КИФ, |
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проезд автомоб. |
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через мост |
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Прм.Имп |
Идеальная ф- |
Прог-ма |
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ф.Дир-ле |
ла. фильтрации |
на МК-15 |
Передат. |
Осн. Ф-ла |
L-transform |
С-ва L- |
ф-ция H(s) |
H(s)X(s) |
4 steps |
преобр. |
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Координаты |
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Обл-ти устойч-ти |
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