Answer to Question #226897 in Electrical Engineering for Mohitur Rahaman

Question #226897
Classify the following signal as energy signal or power signal. Find the
normalized energy or normalized power.
(i) sin 2t + 3 cos 4t
1
Expert's answer
2021-08-18T09:29:01-0400

Checking whether the signal is energy or power

"\\int _{-\\infty \\:}^{\\infty \\:}|x(t)|^2\\\\\n\\int _{-\\infty \\:}^{\\infty \\:}\\left(\\sin \\left(2t\\right)+3\\cos \\left(4t\\right)\\right)^2dt\\\\\n=5t-\\frac{1}{8}\\sin \\left(4t\\right)-\\frac{1}{2}\\cos \\left(6t\\right)+\\frac{3}{2}\\cos \\left(2t\\right)+\\frac{9}{16}\\sin \\left(8t\\right)+C\\\\\n=\\infin"

The energy of the signal is infinite hence the signal is power.


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