- #1

aguntuk

- 7

- 0

## Homework Statement

Input-output description of a system y(t) = S{v(t)} with S{v(t)} = sin[ωct+k.v(t)]

Wanted:

(a) Meaning of this system?

(b) Is this system

(i) linear?

(ii) time-invariant?

## Homework Equations

## The Attempt at a Solution

(a) I don't know how to define this system & what is the question is asking to be answered, please help me out.

(b)

(i) For a system to be linear, the superposition principle can be applied to the above equation, i.e., additivity property & homogeneity (scaling) property will have to be satisfied.

as far my calculation, the system is

**non-linear**. Am i correct?

(ii) For a system to be time-invariant, time-shifting property should be satisfied. In this can, the system is

**time-variant, i.e., non time-invariant**. Am i correct?

Please let me know your thoughts. specially (a) Meaning of this system. Also let me know whether I am correct or not for (b) (i) & (ii)