Lossy compression algorithm based on peak clipping and tail insertion technology and geometrical progression companding transform
A technology of geometric progression and compression algorithm, which is applied in the direction of code conversion, digital transmission system, electrical components, etc., can solve the problems of low compression ratio of compression algorithm, unsuitability for FTTdp+GDSL networking scheme, and high complexity
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[0077] The preferred technical solutions of the present invention will be described in detail below in conjunction with the accompanying drawings.
[0078] The present invention's lossy compression algorithm based on peak clipping and tail insertion technology and geometric progression companding transformation:
[0079] In the first step, according to the central limit theorem, perform N-point IFFT on any random sequence, the real part and imaginary part of the obtained time domain signal respectively obey the normal distribution, and the modulus obey the chi-square distribution. However, this system performs conjugate antisymmetric transformation before performing IFFT, so that the IFFT output only has real part signals (the imaginary part is all zero), so the time domain signal x output by IFFT statistically obeys the standard normal distribution (0-mean Gaussian distributed). The standard normal distribution probability density formula:
[0080]
[0081] Among them, σ...
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