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Use step functions to write the expression for each

Chapter 12, Problem 12.3

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QUESTION:

Use step functions to write the expression for each function shown in Fig. P12.4.

Questions & Answers

QUESTION:

Use step functions to write the expression for each function shown in Fig. P12.4.

ANSWER:

Step 1 of 5

(a)

Refer Figure P12.3 (a)

From the figure,

For

The ramp starts at and ends at .

The equation of line joining the points and is calculated as,

                                                 

Apply the window function to the value of  which are specified by a particular function in a particular sub-interval of time. Each of the sub-division of the signal is multiplied by a window function .

Here,  is the starting time, and  is the ending time for that sub-signal.

Write the expression for function  using step function.

                                           

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