This paper presents the impact of frequency diversity on the optimum expected end-to-end distortion (EED) in an outage-free wideband multiple-input multiple-output (MIMO) system. We provide the closed-form expression of optimum asymptotic expected EED comprised of the optimum distortion exponent and the multiplicative optimum distortion factor for high signal-to-noise ratio (SNR). It is shown t...

We examine how the performance of a memoryless vector quantizer changes as a function of its training set size. Speci cally, we study how well the training set distortion predicts test distortion when the training set is a randomly drawn subset of blocks from the test or training image(s). Using the Vapnik-Chervonenkis dimension, we derive formal bounds for the di erence of test and training di...

We study the average distortion introduced by scalar, vector, and entropy coded quantization of compressive sensing (CS) measurements. The asymptotic behavior of the underlying quantization schemes is either quantified exactly or characterized via bounds. We adapt two benchmark CS reconstruction algorithms to accommodate quantization errors, and empirically demonstrate that these methods signif...

Gersho’s bounds on the asymptotic performance of vector quantizers are valid for vector distortions which are powers of the Euclidean norm. Yamada, Tazaki and Gray generalized the results to distortion measures that are increasing functions of the norm of their argument. In both cases, the distortion is uniquely determined by the vector quantization error, i.e., the Euclidean difference between...

We investigate the joint source–channel coding (JSCC) excess distortion exponent (the exponent of the probability of exceeding a prescribed distortion level) for some memoryless communication systems with continuous alphabets. We first establish upper and lower bounds for for systems consisting of a memoryless Gaussian source under the squared-error distortion fidelity criterion and a memoryles...

We investigate the joint source-channel coding (JSCC) excess distortion exponent EJ (the exponent of the probability of exceeding a prescribed distortion level) for memoryless communication systems with continuous alphabets. We first establish upper and lower bounds for EJ for systems consisting of a memoryless Gaussian source under the squared-error distortion fidelity criterion and a memoryle...

Quantization index modulation (QIM) is a powerful hostinterference rejecting method for data hiding. This paper applies QIM to one-bit watermarking and proposes a simple but powerful watermark detector. We derive lower bounds on the error exponents for the detector under a quadratic distortion constraint for the watermarker and additive white Gaussian noise attacks. These bounds are independent...