DFT-Based Closed-Form Covariance Matrix and Direct Waveforms Design for MIMO Radar to Achieve Desired Beampatterns

Closed Form Discrete Unimodular MIMO Waveform Design Using Block Circulant Decomposition

“…If P becomes diagonal, the Frobenius norm of the off-diagonal elements (14) has no contribution to the cost function. Therefore, the optimization problem (17) and (14) are equivalent.…”

“…The most common constraint is the unimodular or constant modulus signal constraint since it is considered as a power efficient modulation scheme [14]. In this context, literature considers both continuous phase design constraints [14], [18] as well as discrete phase constraints [17] for unimodular sequences. Another common constraint is the uniform antenna element power constraint [11], [13], [15], [19].…”

“…The lower the computational complexity, the faster the signal design, the better is the algo-rithm suitable for adaptive signal design. The most preferable solution is that of closed form as proposed in [15]- [17]. This paper considers the beam pattern design under discrete phase, unimodular and uniform element power constraint constraints.…”

“…The novelty over the state of the art lies is the design methodology considering all of the aforementioned critical properties, such as discrete phase, uniform power constraint, desirable cross-correlation properties and closed form solution. The authors in [17] propose a closed form solution under the discrete phase unimodular constraint, but the cross-correlation properties are not investigated; further, the length of the transmitted symbols is limited to number of transmit antennas times number of receive antennas. The work in [15] relates closely to the present work; it proposes a closed form solution under uniform power constraint.…”

On the Design of Constant Modulus Probing Waveforms With Good Correlation Properties for MIMO Radar via Consensus-ADMM Approach

“…To reduce the computational complexity, a closed-form covariance matrix design method was proposed in [14] based on discrete Fourier transform (DFT). The authors in [15] and [16] also applied the DFT-based technique to a planar-antenna-array, and developed a finitealphabet constant-envelope waveforms design algorithm for the desired beampattern. However, the performance of the DFT-based method is slightly worse for a small number of antennas.…”