Orthogonal frequency division multiplexing (OFDM) with offset quadrature amplitude modulation (OQAM) has been widely discussed in the literature and is considered a popular waveform for 5th generation (5G) wireless telecommunications and beyond. In this work, we show that OFDM-OQAM can be generated using the Hilbert transform and is equivalent to single sideband modulation (SSB), that has roots in analog telecommunications. The transmit filter for OFDM-OQAM is complex valued whose real part is given by the pulse corresponding to the root raised cosine spectrum and the imaginary part is the Hilbert transform of the real part. The real-valued digital information (message) are passed through the transmit filter and frequency division multiplexed on orthogonal subcarriers. The message bandwidth corresponding to each subcarrier is assumed to be narrow enough so that the channel can be considered ideal. Therefore, at the receiver, a matched filter can used to recover the message. Turbo coding is used to achieve bit-error-rate (BER) as low as $10^{-5}$ at an average signal-to-noise ratio (SNR) per bit close to 0 db. The system has been simulated in discrete time.

翻译：正交频分复用（OFDM）结合偏移正交幅度调制（OQAM）在文献中被广泛讨论，并被视为第五代（5G）无线通信及后续系统的典型波形。本文证明，OFDM-OQAM可通过希尔伯特变换生成，且等效于源自模拟通信的单边带调制（SSB）。OFDM-OQAM的发送滤波器为复值结构，其实部由对应根升余弦频谱的脉冲给出，虚部为实部的希尔伯特变换。实值数字信息（消息）经过发送滤波器后，在正交子载波上进行频分复用。假设每个子载波对应的消息带宽足够窄，信道可视为理想状态。因此，接收端可采用匹配滤波器恢复消息。采用Turbo编码后，在每比特平均信噪比（SNR）接近0 dB时，误码率（BER）可低至$10^{-5}$。该系统已在离散时间域完成仿真。