Question

Compute the energy and average power of
x(n)= (1/2​)ⁿ μ[n].

Answer 1

The energy and average power of the given sequence x(n) = (1/2)^n * μ[n] can be calculated by evaluating the sum of squared magnitudes and dividing it by the total number of samples in the sequence.

Step-by-step explanation:

The given sequence x(n) = (1/2)^n * μ[n] can be represented as a discrete-time signal in mathematics. To compute the energy and average power of this sequence, we need to evaluate the sum of the squared magnitudes of all the values in the sequence. The energy of the sequence is given by:

E = Σ[(1/2)^n * μ[n]]^2

To find the average power, we divide the energy by the total number of samples in the sequence:

Average Power = E / N