We study the problem of transmitting a source sample with minimum distortion over an infinite-bandwidth additive white Gaussian noise channel under an energy constraint. To that end, we construct a joint source--channel coding scheme using analog pulse position modulation (PPM) and bound its quadratic distortion. We show that this scheme outperforms existing techniques since its quadratic distortion attains both the exponential and polynomial decay orders of Burnashev's outer bound. We supplement our theoretical results with numerical simulations and comparisons to existing schemes.

翻译：我们研究在能源限制下传输源样本的问题,在无穷带状添加剂白色高斯噪声频道上进行最小扭曲,为此,我们利用模拟脉冲位置调制(PPM)构建了一种联合源-通道编码计划,并约束其二次曲解。我们表明,这一计划优于现有技术,因为其二次曲解达到了伯纳舍夫外界的指数和多元衰变顺序。我们用数字模拟和对现有计划进行比较来补充我们的理论结果。