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Determine whether or not each of the following signals is periodic. In. case a signal is periodic, specify its fundamental period.

image

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a)

image

The frequency variable f can be defined by

image

For every fixed value of the frequency ‘F’. image is periodic indeed. It can be represented.

image

image

It is the fundamental period of sinusoidal signal

image

image

So it is period with that period.

b)

image

The frequency variable f can be defined by

image

image

image

So, it is non periodic.

c)

image

The frequency variable ‘f’ can be defined by

image

image

image

So, it is non periodic. Because the frequency is not expressed in the ratio of two integers.

d)

image

In this the frequency variable image image  can be define by

image

image

image

image

image.

image

image

image

image

image

So, the product of the image

It is non – periodic.

e)

image

In this the frequency variable imageimageimage can be defined by

imageimageimage

 image image image

  image image image

So, image so, image so, image

So, the image  is period.

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