Limited long impulse response filter parsing design method

Abstract

The invention belongs to the digital signal processing field. In order to realize automatic selection of all-phase filter frequency sampling modes, design of a filter is realized by substituting a critical frequency parameter into a corresponding parsing expression. A limited long impulse response filter parsing design method provided by the invention is characterized in that candidate pass band critical frequency point sets of two sampling modes are constructed, and subscripts corresponding to minimum distances between a cutoff frequency and the candidate point sets in the two sampling modes are searched, and the sampling modes is determined and selected; to be specific, (1) the cutoff frequency omega c is given, and a length of a frequency vector H is N0, and according to a formula (1) and a formula (2), a pass band cutoff frequency omega p is acquired; (2) the sampling mode is determined and selected, and then a final filter coefficient is calculated. The limited long impulse response filter parsing design method is mainly used for digital signal processing occasions.

Description

technical field [0001] The invention belongs to the field of digital signal processing. It specifically involves the design of finite-length unit impulse response filters, adaptive filters, and all-phase filters. Background technique [0002] Digital filtering technology is an important part of digital signal analysis and processing technology. Most signals such as communication signals and control signals encountered in real life need to be digitally processed. Digital processing and exchange are inseparable from digital filtering technology. Digital filters have high precision, flexible use, and high reliability, and have many advantages that analog devices do not have. In many fields of engineering applications and science and technology, digital filters have been widely used, such as digital TV [1], voice [2], image [3], etc. [0003] According to the time-domain characteristics of its impulse response function, digital filters can be divided into two types, namely i...

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Problems solved by technology

Because when the length of the prototype filter designed by the Remez algorithm [10] is too short, it will cause mutual interference between the polyphase filtering channels of the two sparse samples, resulting in spectral leakage of the output spectrum in multiple undesired positions; when When the length of the prototype filter is too long, the analyzer will consume a large number of samples and filter hardware costs, and there is also a defect of long delay time[6]

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