In operation, the transmitter 102 transmits a signal data stream (e.g., signal s 1) through one or more antennas 106 and over a channel H 1 to a receiver 104, which combines the received signal from one or more receive antennas 108 to reconstruct the transmitted data. The signals communicated between transmitter 102 and receiver 104 can include voice, data, electronic mail, video, and other data, voice, and video signals. Of course, the receiver/subscriber station 104 can also transmits signals which are received by the transmitter/base station 102. In the communication system 100, the transmitter 102 may act as a base station, while the receiver 104 acts as a subscriber station, which can be virtually any type of wireless one-way or two-way communication device such as a cellular telephone, wireless equipped computer system, and wireless personal digital assistant. The communication system 100 may be any type of wireless communication system, including but not limited to a MIMO system, SDMA system, CDMA system, OFDMA system, OFDM system, etc. 1 depicts a MIMO wireless communication system 100 in which a transmitter 102 having a first antenna array 106 communicates with receiver 104 having a second antenna array 108, where each antenna array includes one or more antennas. SDMA based methods have been adopted in several current emerging standards such as IEEE 802.16 and the 3rd Generation Partnership Project (3GPP) Long Term Evolution (LTE) platform. SDMA has recently emerged as a popular technique for the next generation communication systems. For example, space division multiple access (SDMA) systems can be implemented as closed-loop systems to improve spectrum usage efficiency. To improve the communication capacity of the systems while reducing the sensitivity of the systems to noise and interference and limiting the power of the transmissions, a number of wireless communication techniques have been proposed, such as Multiple Input Multiple Output (MIMO), which is a transmission method involving multiple transmit antennas and multiple receive antennas. As the demand for wireless communication systems continues to expand, there are increasing challenges to improve spectrum usage efficiency. Wireless communication systems transmit and receive signals within a designated electromagnetic frequency spectrum, but the capacity of the electromagnetic frequency spectrum is limited. 7,702,029), all of which are fully incorporated herein by reference for all purposes and to the extent not inconsistent with this application. 11/537,902, entitled “MIMO Precoding Enabling Spatial Multiplexing, Power Allocation and Adaptive Modulation and Coding” and filed on Oct. 8,229,019), which is a continuation of and claims the benefit of priority from U.S. 12/762,013, entitled “MIMO Precoding Enabling Spatial Multiplexing, Power Allocation and Adaptive Modulation and Coding” and filed on Apr.

9,154,202), which is a continuation of and claims the benefit of priority from U.S. 13/556,124, entitled “MIMO Precoding Enabling Spatial Multiplexing, Power Allocation and Adaptive Modulation and Coding” and filed on Jul. 9,608,704), which is a continuation of U.S. 14/500,870, entitled “MIMO Precoding Enabling Spatial Multiplexing, Power Allocation and Adaptive Modulation and Coding” and filed on Sep. 24, 2017, which is a continuation of and claims the benefit of priority from U.S. 15/468,814, entitled “MIMO Precoding Enabling Spatial Multiplexing, Power Allocation and Adaptive Modulation and Coding” and filed on Mar. This application is a divisional application of and claims the benefit of priority from U.S.

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