Abstract

This paper investigates the performance of differential-phase Orthogonal Frequency Division Multiplexing (OFDM) over frequency-selective multipath Nakagami-m radio fading channels. A closed form for the average signal to noise/interference ratio in the presence of the selective multipath fading channel and additive white Gaussian noise (AWGN) is derived. The results reveal that the system performance is impacted by the interference between the adjacent OFDM frames in two successive signaling intervals which is called Inter-Symbol-Interference (ISI). In addition, the system will possibly be distorted when the orthogonality between the adjacent subcarriers is ceased, creating Inter-Channel-Interference (ICI). This paper also studies the bit-error-rate (BER) performance of the differential-phase OFDM system over the Nakagami-m channel in the presence of AWGN, ISI, and ICI under different conditions and parameters. Moreover, the effect of adding the guard period and the number of subchannels on the probability of error is analyzed. The IEEE 802.11a standard parameters with 64 subcarriers and a decaying exponential power delay profile with root-mean-square value of 129 ns are used in this study. The system performance is also simulated at different guard intervals, number of OFDM subcarriers, Nakagami severity parameter values, and different numbers of possible differential phases.

Highlights

  • Orthogonal Frequency Division Multiplexing (OFDM) is a multicarrier digital technology that has been continuously developed over the past five decades due to the high demand for robust digital broadcasting over wireless mobile channels

  • Numerical examples are discussed to simulate the performance of the OFDM–DPSK

  • The results clearly show that the system performance improves significantly as the guard duration increases

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Summary

Introduction

Orthogonal Frequency Division Multiplexing (OFDM) is a multicarrier digital technology that has been continuously developed over the past five decades due to the high demand for robust digital broadcasting over wireless mobile channels. The ratio of the useful frame duration to the total frame duration represents the efficiency in the transmitted power: η = Tu /T f Another advantage of increasing the number of orthogonal carriers is to make the subchannel bandwidth small compared to the coherence bandwidth of the channel (∆ f )c in the frequency-selective channels, i.e., ∆ f = W/N (∆ f )c [4]. Such a condition will enable transmitted symbols to experience almost flat fading (frequency non-selective) which will significantly decrease the complexity of the receiver and allow for a simple equalization process. There will be a focus on the degradation of the system performance in the presence of ISI, ICI, and additive Gaussian noise

Channel Specifications
The Transmitted OFDM Signal
The Received OFDM Signal over Multipath Fading Channels
Power Delay Profiles
BER of the OFDM–DPSK System over Selective Fading Channels
Numerical Results and Conclusion
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