Question

Find

that is this energy signal or power signal

x(t) = 5cos{(4pi*t) + pi/6 }

and find autocorrelation function Rx

Answer 1

The signal x(t) = 5cos{(4πt) + π/6} is a power signal. To find the autocorrelation function Rx, integrate the product of the signal x(t) and its time-delayed version x(t+τ).

Step-by-step explanation:

To determine if a signal is an energy signal or a power signal, we can calculate its average power. For an energy signal, the average power is finite, while for a power signal, the average power is infinite. In this case, the signal x(t) = 5cos{(4πt) + π/6} is a power signal. To find the autocorrelation function Rx, we need to evaluate the integral of the product of the signal x(t) and its time-delayed version x(t+τ).

Rx = ∫[x(t) * x(t+τ)] dt

By substituting the given signal x(t) into the expression for Rx and evaluating the integral, we can find the autocorrelation function.