Digital Coding of Waveforms

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Digital Signal Processing A Computer Based Approach

[서평]「Chaos and Fractals : New Frontiers of Science」

The Karhunen-Loeve transform for a class of signals is proven to be a set of periodic sine functions and this Karhunen-Loeve series expansion can be obtained via an FFT algorithm. This fast algorithm obtained could be useful in data compression and other mean-square signal processing applications.

A fast Karhunen-Loeve transform for a class of random processes

This paper proposes a novel video compression scheme based on a highly flexible hierarchy of unit representation which includes three block concepts: coding unit (CU), prediction unit (PU), and transform unit (TU). This separation of the block structure into three different concepts allows each to be optimized according to its role; the CU is a macroblock-like unit which supports region splitting in a manner similar to a conventional quadtree, the PU supports nonsquare motion partition shapes for motion compensation, while the TU allows the transform size to be defined independently from the PU. Several other coding tools are extended to arbitrary unit size to maintain consistency with the proposed design, e.g., transform size is extended up to 64 × 64 and intraprediction is designed to support an arbitrary number of angles for variable block sizes. Other novel techniques such as a new noncascading interpolation Alter design allowing arbitrary motion accuracy and a leaky prediction technique using both open-loop and closed-loop predictors are also introduced. The video codec described in this paper was a candidate in the competitive phase of the high-efficiency video coding (HEVC) standardization work. Compared to H.264/AVC, it demonstrated bit rate reductions of around 40% based on objective measures and around 60% based on subjective testing with 1080 p sequences. It has been partially adopted into the first standardization model of the collaborative phase of the HEVC effort.

Improved Video Compression Efficiency Through Flexible Unit Representation and Corresponding Extension of Coding Tools

In this paper, the design of fractional delay FIR filter is investigated. First, the interpolation formula of discrete-time sequence is derived by using discrete cosine transform (DCT). Then, the DCT-based interpolation formula is applied to design fractional delay FIR filter by using suitable index mapping. The filter coefficients are easily computed because closed-form design is obtained. Next, design examples are demonstrated to show the proposed DCT method has smaller design error than the conventional window and Lagrange fractional delay FIR filters using the same design parameters. Finally, the designed DCT-based fractional delay FIR filter is applied to design digital differentiator.

Design of fractional delay FIR filter using discrete cosine transform

In this paper, a digital image enhancement using discrete cosine transform (DCT) based matrix homomorphic filtering method is presented. First, the DCT is used to design matrix filter with prescribed ideal response. Because the closed-form solution is obtained, the filter coefficients are easily computed. Then, a digital image enhancement method is proposed by using matrix filter and homomorphic filtering. Finally, the enhancements of gray-level image and color image are used to show the effectiveness of the proposed DCT-based method.

Image enhancement using DCT-based matrix homomorphic filtering method

In this paper, a digital image sharpening method using Riesz fractional order derivative (RFOD) and discrete Hartley transform (DHT) is presented. First, the definition of Riesz fractional order derivative is reviewed briefly. Then, the DHT interpolation method is described. Next, the RFOD, DHT interpolation and Mach band effect are used to construct a digital image sharpening algorithm. Finally, several numerical examples are demonstrated to show the effectiveness of the proposed digital image sharpening approach.

Digital image sharpening using Riesz fractional order derivative and discrete hartley transform

In this paper, the closed-form design of FIR frequency selective filter (FSF) using discrete sine transform (DST) is studied. First, the DST-based frequency selective method is used to obtain the filtered signal from the given digital signal. Then, the transfer function of FSF is derived from the filtered signal by using index mapping approach. Because the closed-form design is obtained, the filter coefficients are easily computed without performing any optimization. Finally, the long-length low-pass, band-pass and high-pass filter design examples are used to show the effectiveness of the proposed DST method.

Closed-form design of FIR frequency selective filter using discrete sine transform

In this paper, the closed-form design of fixed fractional Hilbert transformer (FHT) using discrete sine transform (DST) is presented. First, the DST-based interpolation method is applied to reconstruct the continuous-time signal from the given discrete-time signal. Then, the filter coefficients of the transfer function of fixed FHT are obtained from the DST reconstruction results by using suitable index mapping. The main feature of the proposed method is that the closed-form design can be obtained without performing any optimization procedure. Finally, several numerical examples are demonstrated to show the effectiveness of the proposed design method.

Su-Ling Lee

Papers

Design of fractional delay FIR filter using discrete cosine transform

Image enhancement using DCT-based matrix homomorphic filtering method

Digital image sharpening using Riesz fractional order derivative and discrete hartley transform

Closed-form design of FIR frequency selective filter using discrete sine transform

Closed-form design of fixed fractional hubert transformer using discrete sine transform