A recursive Gram-Schmidt orthonormalization procedure and its application to communications

This paper presents a recursive Gram-Schmidt orthonormalization procedure. It employs adders and multipliers only, and it is very suitable and efficient for real-time high-speed DSP implementations. Its usefulness to communications is illustrated through the gain and phase imbalance compensation in a coherent QPSK receiver. Computer simulation shows that the bit error rate performance of the QPSK receiver is improved significantly after compensating the gain and phase imbalances by using the recursive Gram-Schmidt orthonormalization procedure.