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We investigate performance limits and design of communication in the presence of uniform output quantization with moderate to high resolution. Under independent and identically distributed (i.i.d.) complex Gaussian codebook and nearest neighbor decoding rule, an achievable rate is derived in an analytical form by the generalized mutual information...
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... Figure 1 we show numerical evaluations of I GMI , which have been maximized over L > 0 for each resolution and is then denoted by I GMI (L * ), where we use L * to denote the optimal loading factor. In Figures 2-4, we show how the achievable rate I GMI (L) varies with the loading factor L. The results clearly reveal the increasing importance of gain control (realized by an AGC module in practical systems) as the resolution decreases: 1) Under high-resolution output quantization, we only require a rough estimate of the channel gain to guarantee that the loading factor to be no less than a predefined threshold, say 4 (from the four-sigma rule of thumb [16], [18]); 2) Such strategy may cause considerable rate loss under low-resolution output quantization, but perfect gain control needs accurate channel estimation, which is challenging in this case. ...
