2025/01/17 by Jing Zhou, Zhou, Jing, Shuqin Pang +3 · 1 citation
Computer Science · Engineering · #Advanced Data Compression Techniques #Analog and Mixed-Signal Circuit Design #FOS: Computer and information sciences #Information Theory (cs.IT) #Photonic and Optical Devices
paper · pdf · doi:10.48550/arxiv.2501.09961
openalex publication_date 2025/01/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 (GMI). The gain control before quantization is shown to be increasingly important as the resolution decreases, due to the fact that the loading factor (normalized one-sided quantization range) has increasing impact on performance. The impact of imperfect gain control in the high-resolution regime is characterized by two asymptotic results: 1) the rate loss due to overload distortion decays exponentially as the loading factor increases, and 2) the rate loss due to granular distortion decays quadratically as the step size vanishes. For a 2K-level uniform quantizer, we prove that the optimal loading factor that maximizes the achievable rate scales like 2√(ln (2K)) as the resolution increases. An asymptotically tight estimate of the optimal loading factor is further given, which is also highly accurate for finite resolutions.