Signals & System Lecture 5

Signals & System Lecture 5

Index

1. Sinusoidal Signal
   • Continuous
     • Graphical Representation
     • Equation
   • Discrete
     • Graphical Representation
     • Equation
2. Cosinusoidal Signal
   • Continuous
     • Graphical Representation
     • Equation
3. Causal vs Non Causal Signal
   • Causal
   • Non Causal
4. Unit Pulse Signal
   • Graphical Representation

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Main note

Sinusodial Signal

Continuous

Graphical Representation

sinusodial continous.excalidraw

⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠ You can decompress Drawing data with the command palette: ‘Decompress current Excalidraw file’. For more info check in plugin settings under ‘Saving’

Excalidraw Data

Text Elements

t

A

Link to original

Equation

$(x)(t)=ASin({\Omega }_{o}t+\varphi )$ $F_{o}isrepresentedinhz$ $TisRepresentedinseconds$ $\varphi isinitialPhase$

Discrete

Graphical Representation

Discrete Sinusodial.excalidraw

⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠ You can decompress Drawing data with the command palette: ‘Decompress current Excalidraw file’. For more info check in plugin settings under ‘Saving’

Excalidraw Data

Text Elements

t

A

Link to original

Equation

$(x)(t)=ASin({\omega }_{o}n+\varphi )$ $F_{o}isrepresentedinhz$ $NisRepresentedinSample$ $\varphi isinitialPhase$

Cosinusodial Continous Signal

Continuous

Graphical Representation

Cosinusodial Continuous.excalidraw

⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠ You can decompress Drawing data with the command palette: ‘Decompress current Excalidraw file’. For more info check in plugin settings under ‘Saving’

Excalidraw Data

Text Elements

t

A

Link to original

Equation

$(x)(t)=ACos({\Omega }_{o}t+\varphi )$ $F_{o}isrepresentedinhz$ $TisRepresentedinseconds$ $\varphi isinitialPhase$

Discrete Cosinusodial Signal

Equation

$(x)(t)=Acos({\omega }_{o}n+\varphi )$ $F_{o}isrepresentedinhz$ $NisRepresentedinSample$ $\varphi isinitialPhase$

Causal v/s Non Causal Signal

Causal

When a Signal is Defined for $t\ge 0$ such signal is called as causal signal.

Non causal

When a signal is Defined for either $t\le 0$ or both ( $t<0$ or $t\ge 0$ ) is called a Non Causal Signal Anti Causal Signal is the special case of non Causal signal.

Unit Pulse Signal

Graphical Representation

![[Excalidraw/Unit Pulse Signal.excalidraw.md]]

References

Information

• date: 2024.07.30
• time: 10:11