In this presentation, we discuss efficient multidimensional wideband parameter estimation algorithms. One application is provided by a joint OFDM-based radar and communication system that uses a SIMO architecture. In this case, the estimated parameters are given by the range (time delay), the relative velocities, and the angle of arrival (DoA) pairs of the dominant radar targets. Due to the wideband assumption, the received signals on different subcarriers are incoherent. In order to estimate the parameters jointly and coherently, we propose an interpolation-based coherent multidimensional parameter estimation framework, where the wideband measurements are transformed into an equivalent narrowband system. Then, narrowband multidimensional parameter estimation algorithms can be applied. In particular, we develop the R-D Wideband Unitary Tensor-ESPRIT algorithm. Simulations show that the proposed coherent parameter estimation method significantly outperforms the direct application of narrowband parameter estimation algorithms to the wideband measurements. The interpolation order should be chosen according to the SNR regime. In the low SNR regime, linear interpolation is recommended. For higher SNRs, we propose an interpolation with higher order polynomials, e.g., fourth order (cubic spline) or even higher.