The audio coding scheme MPEG 1 Layer-3, which was standardized in 1993 and which is popularly known as MP3, has had an enormous impact for facilitating electronic distribution of music over the internet. Although various other more efficient coding schemes have been developed and implemented since then, the mp3 file format is still the only format for compressed audio files which is available o...

In this paper, we treat a design problem for IIR digital filters described by rational transfer function in discrete space. First, we form the filter design problem using the modified least-squares (MLS) criterion and express it as the quadratic form with respect to the numerator and denominator coefficients. Next, we show the relaxation method using the Lagrange multiplier method in order to s...

SUMMARY In this work we consider optimized twiddle factor multipliers based on shift-and-add-multiplication. We propose a low-complexity structure for twiddle factors with a resolution of 32 points. Furthermore, we propose a slightly modified version of a previously reported multiplier for a resolution of 16 points with lower round-off noise. For completeness we also include results on optimal ...

In these lectures, we concentrate on the motivations, development and applications of the Calderon-Zygmund operator theory. Lecture 1. The differential operators with constant coefficients and the first generation of Calderon-Zygmund operators Consider the following differential operator with constant coefficients: Lu(x) = α a α ∂ α u ∂x α. By taking the Fourier transform, (Lu)(ξ) = α a α (−2πi...

Complex number multiplication is an important arithmetic function in digital communication, radar, and optical system. Many major functions in the communication systems such as channel equalization; modulation and demodulation all deal with data streams and coefficients represented by complex numbers. Therefore efficient implementation of multiplier circuit for complex numbers is of significant...

This paper proposes new integer approximations of the lapped transforms, called the integer lapped transforms (ILT), and studies their applications to image coding. The ILT are derived from a set of orthogonal sinusoidal transforms having short integer coefficients, which can be implemented with simple integer arithmetic. By employing the same scaling constants in these integer sinusoidal trans...

In this paper, we present a new image denoising method for removing Gaussian noise from corrupted image by using shearlet transform and nonlinear diffusion. The image is decomposed by the shearlet transform to obtain the shearlet coefficients in each subband; then a diffusion scheme based on statistical property of shearlet coefficients is used to shrink noisy shearlet coefficients. The test sh...

An algorithm for reducing the hardware complexity of linear phase finite impulse response digital filters that minimise the adder depth in the multiplier block adders (MBAs) is presented. The algorithm starts by aggressively reducing both the coefficient wordlength and the number of non-zero bits in the filter coefficients. This reduces the number of adders (the adder depth) that are needed to ...

The objective of the paper is to reduce the hardware complexity of higher order FIR filter with symmetric coefficients. The aim is to design an efficient Fast Finite-Impulse Response (FIR) Algorithms (FFAs) for parallel FIR filter structure, with a constrain that the filter tap must be multiple of 2. In our work we have briefly discussed for L=4 parallel implementation. The parallel FIR filter ...

Medical image fusion is a technique that integrates complementary information from multimodality images. The fused image is more suitable for treatment plan strategies. In this paper, an efficient medical image fusion method has been proposed based on shearlet transform and human visibility feature as fusion rule. Image fusion rule is the solution that influences the quality of image fusion. Th...