We investigate the greedy version of the L-optimal vector quantization problem for an Rvalued random vector X ∈ L. We show the existence of a sequence (aN )N≥1 such that aN minimizes a 7→ ∥min1≤i≤N−1 |X−ai| ∧ |X−a| ∥∥ Lp (L-mean quantization error at level N induced by (a1, . . . , aN−1, a)). We show that this sequence produces L -rate optimal N -tuples a = (a1, . . . , aN ) (i.e. the L -mean q...

In this paper, we will consider the impact of finite resolution in a receiver analog-digital converter on the performance of square, linearly modulated systems over fading channels. We show that in fading channels, the probability of error in a quantized system cannot be reduced to zero due to the introduction of quantization noise, even for arbitrarily large SNR. The error floor occurs due to ...

In this paper, we proposed a method to reduce quantization error. In order to reduce quantization error, low pass filtering is applied on neighboring samples of current block in H.264/AVC. However, it has a weak point that low pass filtering is performed regardless of prediction direction. Since it doesn’t consider prediction direction, it may not reduce quantization error effectively. Proposed...

We consider the distributional connection between lossy compressed representation of a high-dimensional signal X using random spherical code and observation under an additive white Gaussian noise (AWGN). show that Wasserstein distance bitrate- R version its AWGN-channel signal-to-noise ratio 2 2R</sup...

Memory-augmented neural networks (MANNs) refer to a class of neural network models equipped with external memory (such as neural Turing machines and memory networks). These neural networks outperform conventional recurrent neural networks (RNNs) in terms of learning long-term dependency, allowing them to solve intriguing AI tasks that would otherwise be hard to address. This paper concerns the ...

1 Motivation and specification.............................................................................................. 2 2 Implementation of interpolation filters for audio DACs.................................................... 4 2.1 Interpolator filter partitioning..................................................................................... 4 2.2 Interpolator filter structures....