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Subject: Signals and Systems Topic: Fourier Series Representation of Discrete Time Periodic Signals Text Book: Signals & Systems By: Alan V. Oppenheim, Alan S. Willsky with S. Hamid Nawab, 2 nd Edition

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Subject: Signals and Systems

Topic: Fourier Series Representation

of Discrete Time Periodic Signals

Text Book: Signals & Systems By: Alan V. Oppenheim,

Alan S. Willsky with S. Hamid Nawab, 2nd Edition

Page 2: Subject: Signals and Systemslcwu.edu.pk/ocd/cfiles/Electrical Engineering/EE207...Subject: Signals and Systems Topic: Fourier Series Representation of Discrete Time Periodic Signals

Linear Combinations of Harmonically

Related Complex Exponentials

Page 3: Subject: Signals and Systemslcwu.edu.pk/ocd/cfiles/Electrical Engineering/EE207...Subject: Signals and Systems Topic: Fourier Series Representation of Discrete Time Periodic Signals

Cont.

Page 4: Subject: Signals and Systemslcwu.edu.pk/ocd/cfiles/Electrical Engineering/EE207...Subject: Signals and Systems Topic: Fourier Series Representation of Discrete Time Periodic Signals

Cont.

Page 5: Subject: Signals and Systemslcwu.edu.pk/ocd/cfiles/Electrical Engineering/EE207...Subject: Signals and Systems Topic: Fourier Series Representation of Discrete Time Periodic Signals

Determination of Fourier Series

Representation of a Periodic Signal

Page 6: Subject: Signals and Systemslcwu.edu.pk/ocd/cfiles/Electrical Engineering/EE207...Subject: Signals and Systems Topic: Fourier Series Representation of Discrete Time Periodic Signals

Cont.

Page 7: Subject: Signals and Systemslcwu.edu.pk/ocd/cfiles/Electrical Engineering/EE207...Subject: Signals and Systems Topic: Fourier Series Representation of Discrete Time Periodic Signals

Cont.

Page 8: Subject: Signals and Systemslcwu.edu.pk/ocd/cfiles/Electrical Engineering/EE207...Subject: Signals and Systems Topic: Fourier Series Representation of Discrete Time Periodic Signals

Cont.

Page 9: Subject: Signals and Systemslcwu.edu.pk/ocd/cfiles/Electrical Engineering/EE207...Subject: Signals and Systems Topic: Fourier Series Representation of Discrete Time Periodic Signals

Cont.

Page 10: Subject: Signals and Systemslcwu.edu.pk/ocd/cfiles/Electrical Engineering/EE207...Subject: Signals and Systems Topic: Fourier Series Representation of Discrete Time Periodic Signals

Example: 01

Page 11: Subject: Signals and Systemslcwu.edu.pk/ocd/cfiles/Electrical Engineering/EE207...Subject: Signals and Systems Topic: Fourier Series Representation of Discrete Time Periodic Signals

Cont.

Page 12: Subject: Signals and Systemslcwu.edu.pk/ocd/cfiles/Electrical Engineering/EE207...Subject: Signals and Systems Topic: Fourier Series Representation of Discrete Time Periodic Signals

Cont.

Page 13: Subject: Signals and Systemslcwu.edu.pk/ocd/cfiles/Electrical Engineering/EE207...Subject: Signals and Systems Topic: Fourier Series Representation of Discrete Time Periodic Signals

Cont.

Page 14: Subject: Signals and Systemslcwu.edu.pk/ocd/cfiles/Electrical Engineering/EE207...Subject: Signals and Systems Topic: Fourier Series Representation of Discrete Time Periodic Signals

Example: 02

Page 15: Subject: Signals and Systemslcwu.edu.pk/ocd/cfiles/Electrical Engineering/EE207...Subject: Signals and Systems Topic: Fourier Series Representation of Discrete Time Periodic Signals

Cont.

Page 16: Subject: Signals and Systemslcwu.edu.pk/ocd/cfiles/Electrical Engineering/EE207...Subject: Signals and Systems Topic: Fourier Series Representation of Discrete Time Periodic Signals

Page 17: Subject: Signals and Systemslcwu.edu.pk/ocd/cfiles/Electrical Engineering/EE207...Subject: Signals and Systems Topic: Fourier Series Representation of Discrete Time Periodic Signals

Cont.

Page 18: Subject: Signals and Systemslcwu.edu.pk/ocd/cfiles/Electrical Engineering/EE207...Subject: Signals and Systems Topic: Fourier Series Representation of Discrete Time Periodic Signals

Text Book: Signals & Systems By: Alan V.

Oppenheim, Alan S. Willsky with S. Hamid

Nawab, 2nd Edition

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