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Lecture8: OFDM cont.Lecture8: OFDM cont. Whathappensifwetakethe FFT of ? Transmitted...

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Lecture 8: OFDM cont. Recall: (from Lecture 6)
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  • Lecture 8: OFDM cont.

    Recall:

    (from Lecture 6)

  • Lecture 8: OFDM cont.

    Recall:

    Consequence

  • Lecture 8: OFDM cont.

    Recall:

    Consequence

  • Lecture 8: OFDM cont.

  • Lecture 8: OFDM cont.

    Or alternatively, introducing and using

  • Lecture 8: OFDM cont.

  • Lecture 8: OFDM cont.

  • Lecture 8: OFDM cont.

    Expand using the reference-carrier

  • Lecture 8: OFDM cont.

    Frequency down-conversion

  • Lecture 8: OFDM cont.

    Frequency down-conversion

  • Lecture 8: OFDM cont.

    Frequency down-conversion

    Shift back time

  • Lecture 8: OFDM cont.

    Frequency down-conversion

  • Lecture 8: OFDM cont.

    Sample the signal

  • Lecture 8: OFDM cont.

    Sample the signal

  • Lecture 8: OFDM cont.

    Receiver

  • Lecture 8: OFDM cont.

    Receiver

    Transmitted complex baseband signal

    Received complex baseband signal

  • Lecture 8: OFDM cont.

    What happens if we take the FFT of ?

    Transmitted complex baseband signal

    Received complex baseband signal

  • Lecture 8: OFDM cont.

    What happens if we take the FFT of ?

    Transmitted complex baseband signal

    Received complex baseband signal

    We get the N values

  • Lecture 8: OFDM cont.

    What happens if we take the FFT of ?

    Transmitted complex baseband signal

    Received complex baseband signal

    We get the N values

    What is so special about those ?

  • Lecture 8: OFDM cont.

    What happens if we take the FFT of ?

    Transmitted complex baseband signal

    Received complex baseband signal

    We get the N values

    What is so special about those ?

    They equal in some other order!

  • Lecture 8: OFDM cont.

    What happens if we take the FFT of ?

    Transmitted complex baseband signal

    Received complex baseband signal

    We get the N values

    What is so special about those ?

    They equal. in some other order!

    What order ?

  • Lecture 8: OFDM cont.

    What happens if we take the FFT of ?

    Transmitted complex baseband signal

    Received complex baseband signal

    We get the N values

    What is so special about those ?

    They equal. in some other order!

    What order ? This order

  • Lecture 8: OFDM cont.

    What happens if we take the FFT of ?

    Transmitted complex baseband signal

    Received complex baseband signal

    We get the N values

    What is so special about those ?

    They equal in some other order!

    What order ? This order

    Define

  • Lecture 8: OFDM cont.

    What happens if we take the FFT of ?

    Received complex baseband signal

    We get the N values

    What is so special about those ?

    They equal in some other order!

    What order ? This order

    Compute FFT of

  • Lecture 8: OFDM cont.

    What happens if we take the FFT of ?

    Received complex baseband signal

    We get the N values

    What is so special about those ?

    They equal in some other order!

    What order ? This order

    Compute FFT of

  • Lecture 8: OFDM cont.

    What happens if we take the FFT of ?

    Received complex baseband signal

    We get the N values

    What is so special about those ?

    They equal. in some other order!

    What order ? This order

    Get back from

    : The index where an is

  • Lecture 8: OFDM cont.

    Received complex baseband signal

    Get back from

    : The index where an is

    Receiver

  • Lecture 8: OFDM cont.

    With noise

    Variance N0

    Receiver

  • Lecture 8: OFDM cont.

    With noise

    Variance N0

    Receiver

  • Lecture 8: OFDM cont.

    With noise

    Variance N0

    Receiver

  • Lecture 8: OFDM cont.

    With noise

    Variance N0

    Receiver

    Variance

  • Lecture 8: OFDM cont.

    With noise

    Variance N0

    Receiver

    Variance

  • Lecture 8: OFDM cont.

    With noise

    Variance N0

    Channel

    Variance

    w

  • Lecture 8: OFDM cont.

    With noise

    Variance N0

    Channel

    Variance

    w

  • Lecture 8: OFDM cont.

    With noise

    Variance N0

    Channel

    Variance

    w

    Power allocation: use different powers at different sub-carriers(Waterfilling).

  • Lecture 8: OFDM cont.

    Receiver

    Why OFDM

    t

    Channel

  • Lecture 8: OFDM cont.

    Receiver

    Why OFDM

    t

    ChannelSignal (+1 +1)

    No OFDM

  • Lecture 8: OFDM cont.

    Receiver

    Why OFDM

    t

    ChannelSignal (+1 +1) Received Signal

    No OFDM

  • Lecture 8: OFDM cont.

    Receiver

    Why OFDM

    t

    ChannelSignal (+1 +1) Received Signal

    Intersymbol InterferenceNo OFDM

  • Lecture 8: OFDM cont.

    Receiver

    Why OFDM

    t

    ChannelSignal (+1 +1) Received Signal

    Intersymbol Interference -> Viterbi algorithm(complex)

    No OFDM

  • Lecture 8: OFDM cont.

    Receiver

    Why OFDM

    t

    ChannelSignal (+1 +1) Received Signal

    Intersymbol Interference -> Viterbi algorithm(complex)

    No OFDM

    OFDM – very simple


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