In ultrasound imaging, a non-linear beamforming algorithm called filtered delay multiply and sum (F-DMAS) has been demonstrated to provide improved contrast and resolution compared to the commonly employed delay and sum (DAS) algorithm. In F-DMAS, the delay compensated radio-frequency narrowband signals from the transducer channels is pairwise multiplied to generate baseband and higher-order harmonic components in the output spectrum. The final image is reconstructed by filtering the second harmonic component to provide better contrast and resolution. However, other generated harmonic components, which are not utilized in the standard F-DMAS could be employed for improved contrast and resolution. In this work, a modification to standard F-DMAS is proposed where the different frequency bands generated through pairwise multiplications are selectively combined through additive or difference compounding techniques to form the final image. The results show that the proposed approach outperforms the standard F-DMAS in terms of contrast and resolution. © 2020 IEEE.