We propose two architectures using two dimensional systolic arrays for the DCT/DST/DHT. One decomposes the N-point DCT/DST/DHT into even-and odd-numbered frequency samples, and then computes them independently at the same time. In addition, the proposed architecture can be used for the IDCT/IDST/IDHT. Anogher is the modified version for the DHT/IDHT. Two proposed architectures generate outputs sequentially using real multiplications and additions. As compared to the conventional methods the proposed systolic arrays exhibit many advantages in terms of simplicity of the processing element (PE), latency, and throughput. Teh simulation results using VHDL, international standard language for hardware description, show the effectiveness of the proposed architecture.