Q2) Determine whether the following signals are energy or power signals Compute the energy or the power. a) x(t)=cos(t)u(t) b) x(t)=10cos(5t)cos(10t)

Question

Answer 1

a)

This signal is a power signal. The power of a continuous-time signal

is given by:

For

, where

is the unit step function, we can compute the power as follows:

Using the identity

, we can rewrite the integral as:

Evaluating the limits, we get:

Since the power is infinite, this signal is a power signal.b)

This signal is an energy signal. The energy of a continuous-time signal

is given by:

For

, we can compute the energy as follows:

Using the identity

, we can rewrite the integral as:

Evaluating the integral, we get:

Since all the sine functions evaluate to zero at the limits, we are left with:

Since the energy is infinite, this signal is an energy signal.

Soru