Semi-infinite quadratic programming approach to design FIR filter for PAPR reduction in OFDM system

The challenge of implementing Orthogonal Frequency Division Multiplexing (OFDM) system in wireless communication is to reduce the high peak-to-average power ratio (PAPR) of OFDM transmitted signal. The pulse shaping technique is an effective way to reduce the PAPR with minimal increase of implementation complexity. This paper proposes a design of finite impulse response (FIR) pulse shaping filters which is formulated as a quadratic optimisation problem to minimise the weighted mean squared error between the desired target response and the designed filter in the stopband whilst satisfying prescribed peak gain constraints in the passband. Numerical examples illustrate the effectiveness of the proposed FIR pulse shaping filter to reduce PAPR and bit-error-rate (BER) in OFDM system.