Show that any continuous-time signal $x(t)$ can be represented as $x(t)= x_e(t) + x_o(t)$

1. How do you represent continuous time signal?
2. What is continuous time signal with example?
3. When the continuous time signals are sampled it is converted?

How do you represent continuous time signal?

Denote a continuous time signal as x(t) and sampling frequency as f_s. Then the sampling period is and the continuous time sampled signal is .

What is continuous time signal with example?

This (a signal) will have some value at every instant of time. The electrical signals derived in proportion with the physical quantities such as temperature, pressure, sound etc. are generally continuous signals. Other examples of continuous signals are sine wave, cosine wave, triangular wave etc.

When the continuous time signals are sampled it is converted?

1. Which of the following should be done in order to convert a continuous-time signal to a discrete-time signal? Explanation: The process of converting a continuous-time signal into a discrete-time signal by taking samples of continuous time signal at discrete time instants is known as 'sampling'.