19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Signals and Systems UNIT 3
Ripal Patel
Assistant Professor,
Dr.Ambedkar Institute of Technology, Bangalore.
ripal.patel@dr-ait.org
December 8, 2020
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
LTI system Properties in terms of impulse response
Please follow the below link for study material. Link
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Step Response
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Step Response for Continuous time system
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Step Response Example
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Step Response Example
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Differential and Difference equation representation
of LTI systems
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Differential and Difference equation representation
of LTI systems
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Recursive evaluation of difference equation
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Solving Differential and Difference equations
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Homogeneous Solution for CT system
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Homogeneous Solution for DT system
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Homogeneous Solution Example
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Homogeneous Solution Example
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Homogeneous Solution Example
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
The Particular Solution
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
The Complete Solution
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
The Complete Solution Example
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
The Complete Solution Example Conti...
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Basic Structures
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
System I Implementation using Basic Structures
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
System II Implementation using Basic Structures
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Combined System Implementation
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Direct Form II
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Direct Form II Realization
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Example
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
System 1 Implementation
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
System 2 Implementation
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Direct Form 1 Realization
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Changing the location of z−1
structures
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
Direct Form 1 Realization
19EC34
Ripal Patel
LTI system
Properties in
terms of
impulse
response
Step Response
Differential
and Difference
equation
representation
of LTI systems
Diagram rep-
resentations of
LTI system
(Direct Form-I
and Direct
Form -II)
The End

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Signals_Systems_Unit3.pdf

  • 1. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Signals and Systems UNIT 3 Ripal Patel Assistant Professor, Dr.Ambedkar Institute of Technology, Bangalore. ripal.patel@dr-ait.org December 8, 2020
  • 2. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) LTI system Properties in terms of impulse response Please follow the below link for study material. Link
  • 3. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Step Response
  • 4. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Step Response for Continuous time system
  • 5. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Step Response Example
  • 6. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Step Response Example
  • 7. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Differential and Difference equation representation of LTI systems
  • 8. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Differential and Difference equation representation of LTI systems
  • 9. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Recursive evaluation of difference equation
  • 10. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Solving Differential and Difference equations
  • 11. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Homogeneous Solution for CT system
  • 12. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Homogeneous Solution for DT system
  • 13. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Homogeneous Solution Example
  • 14. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Homogeneous Solution Example
  • 15. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Homogeneous Solution Example
  • 16. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) The Particular Solution
  • 17. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) The Complete Solution
  • 18. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) The Complete Solution Example
  • 19. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) The Complete Solution Example Conti...
  • 20. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Basic Structures
  • 21. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) System I Implementation using Basic Structures
  • 22. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) System II Implementation using Basic Structures
  • 23. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Combined System Implementation
  • 24. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Direct Form II
  • 25. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Direct Form II Realization
  • 26. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Example
  • 27. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) System 1 Implementation
  • 28. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) System 2 Implementation
  • 29. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Direct Form 1 Realization
  • 30. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Changing the location of z−1 structures
  • 31. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) Direct Form 1 Realization
  • 32. 19EC34 Ripal Patel LTI system Properties in terms of impulse response Step Response Differential and Difference equation representation of LTI systems Diagram rep- resentations of LTI system (Direct Form-I and Direct Form -II) The End