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Integration - Operations on Signals Notes | Study Signals and Systems - Electronics and Communication Engineering (ECE)

Document Description: Integration - Operations on Signals for Electronics and Communication Engineering (ECE) 2022 is part of Signals and Systems preparation. The notes and questions for Integration - Operations on Signals have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Integration - Operations on Signals covers topics like and Integration - Operations on Signals Example, for Electronics and Communication Engineering (ECE) 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Integration - Operations on Signals.

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Integration of any signal means the summation of that signal under particular time domain to get a modified signal. Mathematically, this can be represented as −

Integration - Operations on Signals Notes | Study Signals and Systems - Electronics and Communication Engineering (ECE)

Here also, in most of the cases we can do mathematical integration and find the resulted signal but direct integration in quick succession is possible for signals which are depicted in rectangular format graphically. Like differentiation, here also, we will refer a table to get the result quickly.
 

Original SignalIntegrated Signal
1impulse
Impulsestep
StepRamp


Example

Let us consider a signal  Integration - Operations on Signals Notes | Study Signals and Systems - Electronics and Communication Engineering (ECE) It is shown in Fig-1 below. Clearly, we can see that it is a step signal. Now we will integrate it. Referring to the table, we know that integration of step signal yields ramp signal.

Integration - Operations on Signals Notes | Study Signals and Systems - Electronics and Communication Engineering (ECE)

However, we will calculate it mathematically,

Integration - Operations on Signals Notes | Study Signals and Systems - Electronics and Communication Engineering (ECE)

The same is plotted as shown in fig-2,

The document Integration - Operations on Signals Notes | Study Signals and Systems - Electronics and Communication Engineering (ECE) is a part of the Electronics and Communication Engineering (ECE) Course Signals and Systems.
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