discrete multi-tone (lab 5) - 140.113.144.123
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MBWC Lab
Discrete Multi-tone(LAB 5)
2021/5/13 1
MBWC Lab
Requirement
2021/5/13 2
β’ Generate the channel with different length (π‘ is known)
π‘ = [β0, β¦ , β5] (delay with 5 time slots)
π‘ = [β0, β¦ , β9] (delay with 9 time slots)
β’ Generate 64 QPSK symbols to form a signal vector in frequency domain
β’ Redo the same process with 1000 realizations
β’ Show the QPSK symbol error rate in different SNR
MBWC Lab
Channel Delay β€ The Length of CP (1/2)
2021/5/13 3
β’ The received signal (π is a circular matrix) in time domain
π± = ππ¬ + π°
β’ The signal from time domain to frequency domain (π is an FFT matrix)
π = ππ¬ π = ππ±
β’ The circular matrix π (π² is a diagonal matrix)
π = πHπ²π
β’ The received signal in frequency domain
ππ± = π ππ¬ + π°
β ππ± = π πHπ²ππHπ + π° = ππH π² ππH π + ππ°
β π = π²π + ππ°
MBWC Lab
Channel Delay β€ The Length of CP (2/2)
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β’ Generate 64 QPSK symbols to form a signal vector, π β π64Γ1, in frequencydomain
β’ Generate the circular matrix, π β π64Γ64, and derive the correspondingdiagonal matrix, π² (π = πHπ²π)
β’ Derive the received signal in time domain
π± = ππ¬ + π° = πHπ²ππHπ + π°
β’ Decode the signal vector π β π64Γ1(in frequency domain as follow)
π = π²β1π π± = π²β1π ππ¬ + π° = π²β1π πHπ²ππHπ + π°
β π = π + π²β1π π°
MBWC Lab
Channel Delay β₯ The Length of CP
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The ISI exists here !!
MBWC Lab
The Symbol Error Rate
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Channel Delay β€ The Length of CP Channel Delay β₯ The Length of CP
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