1) Check whether the following signal is periodic. If periodic, determine the fundamental period. Also, give the odd and even parts of this signal. x[n] = cos(0.375mm)-jsin(n)

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1) Check whether the following signal is periodic. If periodic, determine the fundamental period. Also, give the odd and even parts of this signal.

\[ x[n] = \cos(0.375 \pi n) - j \sin\left(\frac{\pi}{4} n\right) \]
Transcribed Image Text:1) Check whether the following signal is periodic. If periodic, determine the fundamental period. Also, give the odd and even parts of this signal. \[ x[n] = \cos(0.375 \pi n) - j \sin\left(\frac{\pi}{4} n\right) \]
Expert Solution
Step 1: we need to determine the given signal is periodic or not and odd and even parts of the signal

Given signal x[n] is, 

                          x left square bracket n right square bracket equals cos left parenthesis 0.375 straight pi straight n right parenthesis minus j sin left parenthesis straight pi over 4 n right parenthesis

                          Determine the given signal is periodic or not =?

                          Determine the odd and even parts of the signal =?

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