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林宏穎: OFDM Introduction
Class Report 林宏穎: OFDM Introduction
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OFDM History 1957: Kineplex multi-carrier HF modem
1966: Chang, Bell Labs: OFDM paper & patent 1971: Weinstein & Ebert propose use of FFT and guard interval 1985: Cimini describes use of OFDM for mobile communications 1987 Alard & Lasalle: OFDM for digital broadcasting 1995: ETSI DAB standard: first OFDM-based standard 1997: DVB-T standard 1998: Magic WAND project demonstrates OFDM modems for wireless LAN 1999: IEEE a and HIPERLAND/2 standards for wireless LAN 2000: V-OFDM for fixed wireless access 2001: OFDM considered for new IEEE and standards
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Introduction to OFDM Basic idea Advantages Disadvantages
Using a large number of parallel narrow-band sub-carrier instead of a single wide-band carrier to transport information Advantages Very easy and efficient in dealing with multi-path Robust against narrow-band interference Disadvantages Sensitive to frequency offset and phase noise Peak-to-average problem reduces the power efficiency of RF amplifier at the transmitter Adopted by various standards DSL, a, DAB, DVB, etc.
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OFDM Definition The technique of OFDM is based on the well-known technique of FDM FDM technique: Different streams of information are mapped onto separate parallel frequency channels Guard bands are inserted to reduce interference between adjacent channels OFDM technique Multiple carriers carry the information stream Carrier spectrum are are overlapped and orthogonal to each other A guard time is added to each symbol to combat the channel delay spread FDM frequency OFDM frequency
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Concept of OFDM A type of multi-carrier modulation
Single high-rate bit stream is converted to low-rate N parallel bit stream Each parallel bit stream is modulated on one of N sub-carriers Each sub-carrier can be modulated by QFSK or QAM Add a guard time to each OFDM symbol to avoid inter-symbol interference of fading channel To achieve high bandwidth efficiency, the sub-carriers are closely spaced and overlapped Sub-carriers are orthogonal over the symbol time Use coding to correct errors for sub-carriers in deep fading environment
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Advantages of OFDM Robust in multi-path propagation environment
Successful Examples: DAB, DVB-T, Wireless LAN More tolerant of delay spread Due to the use of many sub-carriers, the symbol duration is increased, relative to delay spread Inter-symbol interference is avoided through the use of guard interval Simplified or eliminate equalization needs, as compared to single carrier modulation More resistant to fading Low symbol rate per carrier provides the robustness against frequency selective fading or narrowband interference FEC is used to correct for sub-carriers that suffer from deep fade Multi-carrier with single frequency network (SFN)
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OFDM Good for Broadband Systems
Most broadband systems are subjects to multipath transmission Conventional solution to multipath is an equalizer in the receiver Equalizers are too complicated at high data rates With OFDM there is a simple way of dealing with multipath Relatively simple DSP algorithms
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quadrature amplitude modulation (QAM) encoder
Modulation System Single carrier modulation Multi carrier modulation N subchannels N complex samples S/P quadrature amplitude modulation (QAM) encoder N-IFFT add cyclic prefix P/S D/A + transmit filter TRANSMITTER multipath channel RECEIVER N subchannels N complex samples P/S QAM decoder channel estima- tion & equalizer N-FFT S/P remove cyclic prefix Receive filter + A/D
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Multicarrier Rate R Mapping Filter f0 Rate R Mapping Filter f1 Rate NR Rate R Mapping Filter fN-1 Bandlimited signals f0 f1 f2 fN-1 The transmission bandwidth is divided into sub-bands which are transmitted in parallel Ideally, each sub-band is narrow enough so that the fading it experiences is flat (no ISI) Disadvantages -- Requires filter bank at receiver -- Spectrally inefficiency
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OFDM Source of Impairment
Power Amplifier Non-Linear Insert Guard Interval FEC Coding QAM Mapping Pilot Insertion IQ Modulator DAC IFFT (TX) FFT (RX) HPA Fixed-Point Computation Error Multi-path Fading Channel Frequency Corrected Signal Phase noise ADC noise FEC Decoding Remove Guard Interval AGC Response Time QAM De- Mapping Channel Correction ADC Symbol timing AGC Amp LNA Timing Frequency Synchronization Phase noise Frequency offset
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Performance Loss Detection Loss of synchronized Detection
SNR (dB) required to achieve the performance of perfect channel knowledge . (Infinite Precision arithmetic assumed) Algorithms for channel model description Implementation Loss SNR (dB) resulting from finite precision arithmetic Computation complexity, architecture selection, cost
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Problems of OFDM Modulation
ICI (Inter-channel interference): interference between symbol in adjacent frequencies ISI (inter-symbol interference): interference of successive OFDM frames Highly vulnerable to synchronization errors and frequency offsets Highly vulnerable to the non-linearity of the Pas (in the RF analog front end)
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Challenges for OFDM Synchronization challenges
Transmitter frequency Receiver frequency Mesochronous: same frequency, different phase Pleisochrnous: slightly different frequencies Asynchronous: totally different frequencies Transmitter sampling time Receiver sampling time Symbol timing is unknown to receiver Peak-to Average Power Ratio (PAPR) Dynamic range at output of IFFT is much larger than at input it is about 2 dB higher than that of the ATSC 8-VSB system. A larger Tx (more dynamic range) might be required or using pre-distortion and better filtering to reduce the first adjacent channel interference Channel estimation for time varying environment
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Impact of Symbol Duration
The symbol duration of OFDM is much larger than that of single carrier system under the similar overall transmission bandwidth A larger symbol duration will enhance the effective bit rate and power utilization if the delay spread is about fixed The larger OFDM duration when compared with the channel coherence time can reduce the ability to combat the fast temporal fading The channel coherence time is inversely proportional to the maximum Doppler shift
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Impact of Sub-Carrier Spacing
Because of the time-frequency duality, some of the time-domain arguments can be translated to the frequency domain The large number of OFDM sub-carriers makes the bandwidth of the individual sub-carriers small relative to the overall signal bandwidth and the channel coherence bandwidth The fading on each sub-carrier is frequency flat and can be better modeled as a constant complex channel gain. The narrower sub-carrier spacing will be easier to cause inter-carrier interference
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