**Feedback overhead** is arose when a receiver transmits feedback signaling to a transmitter, which occupies the uplink transmission resource. Although the larger feedback overhead improves the downlink performance, the portion of feedback overhead in the uplink transmission time or the whole system transmission time should be well balanced so that the uplink throughput performance is significantly suffered.

## Design Methodology of Optimal Feedback Overhead Signalling Edit

One of method for designing optimal feedback overhead is to maximize the feedback gain in the downlink subtracted by the feedback loss in the downlink, which we define as the effective throughput gain . The optimization criterion is given by

This is different from an approach which finds an appropriate amount of feedback signalling overhead for the given target rate. /* effective in the maximization of the duplex throughput.*/

As an example motivated from limited feedback multiuser MIMO system, we assume that and . The optimization of the feedback overhead is given by

where is generally a dependent variable on . If we fix the range of the overhead time, we know whether incremental or decremental of the feedback signaling is beneficial for the performance of the limited feedback systems. For example, Jindal shows that the limited feedback ZF-BF system yields approximately ^{[1]}

The right side of the above equation becomes and for high and low SNR range (relying on ), respectively. We see that the lower SNR range, the less sensitive on the throughput performance of the limited feedback system if the feedback overhead increases while the feedback loss in the uplink still linearly increases.

## ReferencesEdit

- ↑ N. Jindal, MIMO Broadcast Channels with Finite Rate Feedback, IEEE Trans. Information Theory, Vol. 52, No. 11, pp. 5045-5059, Nov. 2006.