In this paper, we study the cascaded pre-calibration techniques to overcome the coexisting problems of RF IQ imbalance (IQI) and RF spectrum distortion, which can improve the performance of a single package mmWave IC. The calibration techniques are designed separately. We first pre-compensate the IQI effect by using a single-tone signal with a blind algorithm to estimate the impairment parameters and calculate the precalibration weighting coefficients. After that, we adopt quadrature wideband training sequences to estimate the RF distorted responses and calculate the pre-calibration filters via the deconvolution techniques. The above calibration schemes are realized in the digital pre-processing domain and can perform better than the conventional RF calibration circuit design. Both the computer simulation results and the mmWave software defined radio (SDR) platform measurement results confirm that the proposed techniques can pre-calibrate the cascaded RF IQI and RF spectrum distortion problems.