Partial transmit sequence (PTS) is an effective scheme to reduce high peak-to-average power ratio (PAPR) for multicarrier modulation (MCM) signal transmission systems. This approach produces side information (SI) data as a result of the MCM signal optimisation process. The generated SI data are required to be transmitted with the original data over the channel for successful data recovery at the receiver. An effective method for SI data transmission has not yet been identified and research is still ongoing. Hence, the authors introduce a technique that embeds SI data into the original data frame. In this study, a wavelet packet (WP)-based PTS (WP-PTS) scheme is selected as the MCM transmission method. The proposed scheme is called WP-PTS with embedded SI data. In addition, a suitable scheme for reconstructing the original data is developed. Simulation result shows that the PAPR performance of the proposed scheme improves by up to 2.5 dB at a complementary cumulative distribution function level of 10 −4 compared with the original WP-orthogonal frequency-division multiplexing system without the PAPR reduction scheme when the number of selected disjoint subblocks is 16.

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Orthogonal frequency division multiplexing (OFDM) is a prominent system in transmitting multicarrier modulation (MCM) signals over selective fading channel. The system offers to attain a higher degree of bandwidth efficiency, higher data transmission, and robust to narrowband frequency interference. However, it incurs a high peak-to-average power ratio (PAPR) where the signals work in the nonlinear region of the high-power amplifier (HPA) results in poor performance. Besides, an attractive dynamic wavelet analysis and its derivatives such as wavelet packet transform (WPT) demonstrates almost the same criteria as the OFDM in MCM system. Wavelet surpasses Fourier based analysis by inherent flexibility in terms of windows function for non-stationary signal. In wavelet-based MCM systems (wavelet OFDM (WOFDM) and Wavelet packet OFDM (WP-OFDM)), the constructed orthogonal modulation signals behaves similar to the fast Fourier transform (FFT) does in the conventional OFDM (C-OFDM) system. With no cyclic prefix (CP) need to be applied, these orthogonal signals hold higher bandwidth efficiency. Hence, this chapter presents a comprehensive study on the manipulation of specified parameters using WP-OFDM, WOFDM and C-OFDM signals together with various wavelets under the additive white Gaussian noise (AWGN) channel.

The Partial Transmit Sequence (PTS) scheme is magnificent in reducing the high peak-to-average power ratio (PAPR) in multicarrier modulation (MCM) signals. However, the scheme produces Side Information (SI) data as the result of optimization which reduces the high PAPR of the signals. The SI data must be transmitted along with the optimized information data over the channel. Due to this, we develop a design of embedding the SI data into the Wavelet Packet-based OFDM (WP-OFDM) frame and able to reconstruct the original information by utilizing a simple reconstruction technique at the receiver. This paper presents single main contributions: The Wavelet Packet-based PTS (WP-PTS) scheme with a unique approach of managing the SI data. The WP-PTS scheme is the combination of WP-OFDM system and conventional PTS scheme. In fact, WP-PTS scheme has similar structure as conventional PTS scheme except different signal transformation block is utilized. The PAPR performance of embedding SI data using WP-PTS scheme is compared with WP-PTS scheme under similar conditions. A PAPR profile of uncoded WP-OFDM signal is also included. Results show that the PAPR profile of WP-PTS scheme with embedding SI data has converged towards PAPR profile of WP-PTS scheme. The WP-PTS scheme with embedding SI data obtained 3.0dB improvement if compared to uncoded signal at 10 −4 of CCDF level with small lost in BER performance.

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