Low PAPR Sequence Design for Wireless Systems
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Solution Overview
Problem
OFDM systems face high peak to average power ratio (PAPR) issues, leading to inefficiencies in transmitter power amplifiers and analog/digital converters, and limitations in generating sequences with low PAPR, particularly for arbitrary lengths and complex implementation.
Innovation Solution
A method to generate sequences with low PAPR using only elements −1 and +1, employing iterative processes with Bernoulli distribution parameters, Monte Carlo methods, and mapping functions to achieve sequences with controllable length and flexible implementation, while ensuring good autocorrelation performance.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of energy
If traditional low PAPR sequences (e.g., Zadoff-Chu sequences) are used in OFDM systems, then PAPR performance is improved at certain lengths, but the sequence elements are different complex numbers which increases implementation complexity and limits applicability to arbitrary lengths
Solution Approach 1:
The patent changes the parameter space by restricting sequence elements to binary values {-1, +1} instead of using complex numbers. This parameter simplification reduces implementation complexity while maintaining low PAPR performance through iterative optimization of the binary sequence structure
Solution Approach 2:
The patent applies local quality by using iterative optimization that adjusts specific positions in the sequence independently through Bernoulli distribution parameters. Each position can be optimized locally while maintaining overall low PAPR performance, allowing flexible adaptation to different sequence lengths
2Adaptability or versatility
If sequences with arbitrary lengths are required, then versatility is improved, but traditional methods cannot generate low PAPR sequences for arbitrary lengths
Solution Approach 1:
The patent introduces dynamic iterative optimization that adapts to any sequence length. The algorithm dynamically adjusts the number of iterations and optimization parameters based on the required sequence length, ensuring low PAPR performance is achieved regardless of whether the sequence is short or long
Solution Approach 2:
The patent creates a universal sequence generation method that works for any arbitrary length. The same iterative optimization framework with binary elements {-1, +1} can generate low PAPR sequences for any N, making the method universally applicable across different OFDM system configurations
3Loss of energy
If iterative optimization with multiple sequences is performed, then PAPR performance is improved, but computation time increases
Solution Approach 1:
The patent applies partial action by generating a limited number of candidate sequences (e.g., 10-100 sequences) through iterative optimization rather than exhaustively searching all possible binary sequences. This partial exploration is sufficient to find sequences with low PAPR, avoiding excessive computation time while maintaining performance
Solution Approach 2:
The patent uses feedback mechanisms where the PAPR of generated sequences is evaluated and used to guide subsequent iterations. The Bernoulli distribution parameters are updated based on feedback from previous sequence evaluations, enabling efficient convergence to low PAPR sequences without requiring excessive computation
Data Source
AI summary
A low PAPR sequence design method for a wireless communication system includes the following steps: setting relevant parameters of a designed sequence at first, then carrying out multiple iterations, generating multiple length-designated sequences having elements 0 and 1 and obeying the Bernoulli distribution of designated probability density parameters according to the parameters during primary iteration, screening the generated sequences according to the PAPRs of the sequences, updating the parameters of the next iteration based on the screened sequences, and finally mapping the sequence having the minimum PAPR to obtain a sequence with a low PAPR with elements of −1 and 1 after terminating the iterations. Compared with the prior art, the present invention allows the design of a sequence with a low PAPR with an arbitrary length, and the sequence only contains +1 and −1 as elements and has good autocorrelation performance.