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Implementation of a fixed-point MPEG-4 scalable lossless coding encoder

机译：定点MPEG-4可缩放无损编码编码器的实现

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In this paper, we propose four fixed-point nonlinear functions to develop a fixed-point MPEG-4 scalable lossless coding (SLS) encoder: the square-root function, the logarithmic function, the exponential function, and the trigonometric function. The accuracy and complexity of the proposed fixed-point functions can be controlled by setting the required number of iterations to process a fixed-point function. A fixed-point square-root function is implemented based on the long-hand decimal division, and the complexity of the function is reduced by scaling the input so that the most significant bit (MSB) of the input can be processed at the first iteration. For the fixed-point logarithmic function, a piece of input is converted into an exponent and a mantissa. Then, the output of the function is obtained by independent operations using the exponent and mantissa. A fixed-point exponential function is implemented through the multiplication of the output range and scale factors that are generated from a characteristic of the exponential function. A fixed-point trigonometric function is proposed by designing the output table that has different step size according to input because the function has a different slope at each input. The fixed-point MPEG-4 SLS encoder is implemented using the proposed fixed-point nonlinear functions so that it can be developed on a chip or a fixed-point digital signal processor (DSP) at low-cost. To evaluate the performance of the implemented fixed-point MPEG-4 SLS encoder, two bit-streams, one encoded by a fixed-point MPEG-4 SLS encoder and the one by a floating-point encoder, are decoded using a floating-point MPEG-4 SLS decoder. Then, the root mean square (RMS) is measured from two decoded sounds. The RMS of the fixed-point MPEG-4 SLS encoder is less than −77.35 dB, and both the decoded sounds are identical by 77.2%.
机译：在本文中，我们提出了四个定点非线性函数来开发定点MPEG-4可伸缩无损编码（SLS）编码器：平方根函数，对数函数，指数函数和三角函数。可以通过设置处理定点函数所需的迭代次数来控制所提出的定点函数的准确性和复杂性。基于一手十进制除法实现定点平方根函数，并通过缩放输入来降低函数的复杂度，以便可以在第一次迭代时处理输入的最高有效位（MSB） 。对于定点对数函数，将一条输入转换为指数和尾数。然后，通过使用指数和尾数的独立运算获得函数的输出。定点指数函数是通过将输出范围和比例因子相乘来实现的，这些比例因子是根据指数函数的特征生成的。通过设计输出表来确定定点三角函数，该输出表根据输入具有不同的步长，因为该函数在每个输入处具有不同的斜率。定点MPEG-4 SLS编码器使用建议的定点非线性函数实现，因此可以低成本在芯片或定点数字信号处理器（DSP）上开发。为了评估已实现的定点MPEG-4 SLS编码器的性能，使用浮点解码两个比特流，其中一个由定点MPEG-4 SLS编码器编码，一个由浮点编码器编码。 MPEG-4 SLS解码器。然后，从两个解码的声音中测量均方根（RMS）。定点MPEG-4 SLS编码器的RMS小于−77.35 dB，并且两种解码后的声音相同77.2％。

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