Variable-length codes can provide compression for data communication. Such codes may be used not only when the source statistics is known but also when we do not know the source probability distribution, and a source with equal symbol probabilities (equiprobable symbols) can or has to be assumed. This paper presents variable-length codes with code words that di er in length by at most one code ...

The JPEG standard technique involves three process mapping reduces interpixel redundancy, quantization, which is lossy process and entropy encoding, which is considered lossless process. Lossy JPEG compression is commonly used image compression technique. In the present paper a new hybrid technique has been introduced by combining the JPEG algorithm and Symbol Reduction Huffman technique for ac...

Lossy JPEG compression is a widely used compression technique. Normally the JPEG technique uses two process quantization, which is lossy process and entropy encoding, which is considered lossless process. In this paper, a new technique has been proposed by combining the JPEG algorithm and Symbol Reduction Huffman technique for achieving more compression ratio. The symbols reduction technique re...

In this letter, coherent detection of π 4 -DE-QPSK is considered, but our analysis also holds for common DEQPSK. It is shown that maximum a-posteriori (MAP) sequence detection can be regarded as an approximation, based on selecting dominant exponentials, of MAP symbol detection. A better approximation, relying on piecewise-linear fitting of the logarithm of the hyperbolic cosine, is proposed. T...

Despite their exceptional error-correcting properties, Reed-Solomon (RS) codes have been overlooked in distributed storage applications due to the common belief that they have poor repair bandwidth: A naive repair approach would require the whole file to be reconstructed in order to recover a single erased codeword symbol. In a recent work, Guruswami and Wootters (STOC’16) proposed a single-era...

We obtain Weyl type asymptotics for the quantised derivative \dj \mkern 1muf of a function content-type="math/mathml"> f f ...

Let ℓ \ell be an odd prime, and let alttext="upper K"> K encoding="application/x-tex">K a ...

A genomic DNA fragment corresponding to exon 7 of the human ABO gene was amplified from rats of several inbred and outbred strains. Five different sequences were obtained, four of them corresponding to A-type sequences and one to a B-type sequence based on the amino acids equivalent to residues at positions 266 and 268 of the human enzymes. In rats from inbred strains, a single A-type sequence ...