How are the Signals Classified ? Explain | Describe through examples, The classifications of continuous Time Signal

     The Signals can be classified into two parts depending upon independent variable

a) Continuous time (CT) signals 

b) Discrete time (DT) signals 

i) Deterministic and Random Signals 

ii) Periodic and Aperiodic signals 

iii) Even and Odd signals 

iv) Energy and Power signals

i) Deterministic and Random Signals: 

            A deterministic signal is one which can be completely represented by mathematical equation at any time. In a deterministic signal there is no uncertainty with respect to its value at any time. 

                                            Eg: x(t)=coswt 

                                                x(n)=2wft 

            A random signal is one which cannot be represented by any mathematical equation. Eg: Noise generated in electronic components, transmission channels, cables etc. 

ii) Periodic and Aperiodic signals 

            A signal is said to be periodic signal if it repeats at equal intervals. Example: Sine wave, Cosine wave, etc., 

            Aperiodic signals do not repeat at regular intervals. Example: Ramp signal, Exponential signal, etc., 

            A CT signal which satisfies the equation x(t) = x(t+T0) is said to be periodic and a DT signal which satisfies the equation x(n) = x(n+N) is said to be periodic.

iii) Even and Odd signals: 

            A DT signal x(n) is said to be an even signal if x(-n)=x(n) and an odd signal if x(-n)=-x(n). 

            

            A CT signal is x(t) is said to be an even signal if x(t)=x(-t) and an odd signal if x(-t)=-x(t). 

iv) Energy and Power signals 

            The signal x(t) is said to be power signal, if and only if the normalized  

average power p is finite and non-zero. ie. 0<p<∞ 

            A signal x(t) is said to be energy signal if and only if the total normalized energy is finite and non-zero. ie. 0<E< ∞