Show that the channel capacity of the alamouti code is


1. For two transmit antennas and simple receive antenna, the Alamouti code is said to be the only optimal space-time block. Using the log-det formula of (9.117), justify this statement.

2. Show that the channel capacity of the Alamouti code is equal to the sum of the channel capacities of two SISO systems with each one of them operating at half the original bit rate.

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