Hybrid digital-analog joint source-channel coding for broadcasting correlated Gaussian sources

H. Behroozi, F. Alajaji, T. Linder
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引用次数: 12

Abstract

We consider the transmission of a bivariate Gaussian source S = (S1, S2) across a power-limited two-user Gaussian broadcast channel. User i (i = 1, 2) observes the transmitted signal corrupted by Gaussian noise with power σi2 and wants to estimate Si. We study hybrid digital-analog (HDA) joint source-channel coding schemes and analyze these schemes to obtain achievable (squared-error) distortion regions. Two cases are considered: 1) source and channel bandwidths are equal, 2) broadcasting with bandwidth compression. We adapt HDA schemes of Wilson et al. [1] and Prabhakaran et al. [2] to provide various achievable distortion regions for both cases. Using numerical examples, we demonstrate that for bandwidth compression, a three-layered coding scheme consisting of analog, superposition, and Costa coding performs well compared to the other provided HDA schemes. In the case of matched bandwidth, a three-layered coding scheme with an analog layer and two layers, each consisting of a Wyner-Ziv coder followed by a Costa coder, performs best.
广播相关高斯源的混合数模联合信源信道编码
我们考虑一个二元高斯源S = (S1, S2)在一个功率有限的双用户高斯广播信道上的传输。用户i (i = 1,2)观察到传输信号被幂σi2的高斯噪声破坏,想要估计Si。我们研究了混合数字模拟(HDA)联合源信道编码方案,并对这些方案进行了分析,以获得可实现的(平方误差)失真区域。考虑两种情况:1)源带宽和信道带宽相等,2)广播带宽压缩。我们采用了Wilson等人[1]和Prabhakaran等人[2]的HDA方案,为这两种情况提供了各种可实现的失真区域。通过数值示例,我们证明了与其他提供的HDA方案相比,由模拟、叠加和Costa编码组成的三层编码方案在带宽压缩方面表现良好。在带宽匹配的情况下,三层编码方案(模拟层和两层,每层由Wyner-Ziv编码器和Costa编码器组成)表现最佳。
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