Design method of high-gain multiplication-free filter based on filter coefficient

Abstract

The invention provides a design method of a high-gain multiplication-free filter based on filter coefficients, which comprises the following steps of: firstly, designing to obtain an original filter tap coefficient set by adopting a transposed FIR filter with a linear phase, then carrying out high-gain multiplication and rounding on each tap coefficient in the original filter tap coefficient set, and finally, carrying out high-gain multiplication on each tap coefficient in the original filter tap coefficient set; obtaining each high-gain tap coefficient; and performing factor decomposition on each high-gain tap coefficient of the filter to obtain each decomposition factor, and finally performing multiplication-free coding design on all the obtained decomposition factors according to the optimal CSD coding method to obtain the structure of the multiplication-free filter. Compared with an existing multiplication-free filter design scheme, the method can be suitable for multiplication-free design of high-gain filter coefficients, the number of summators and shift operations and the coding word length of the filter coefficients are reduced, and the hardware complexity for realizing the filter is reduced.

Description

technical field [0001] The invention belongs to the technical field of satellite-borne signal processing, and in particular relates to a multiplication-free filter design method based on high gain of filter coefficients. Background technique [0002] Conventional FIR filters require many multipliers when implemented in hardware, and their number is related to the order of the filter, which in turn affects the performance of the digital filter. However, the hardware resources of the spaceborne receiver are very limited, so it is necessary to optimize the design of the filter structure to reduce the demand for hardware resources, such as improving the efficiency of multiplication by using look-up table method and distributed algorithm. In addition, people continue to study the implementation of non-multiplication filters, replace the multipliers that require a lot of operations by shift operations and adders, and reduce the number of adders and sample data word lengths through...

AI Technical Summary

Problems solved by technology

[0004] The filter coefficient gain of the spaceborne receiver is usually very large. When using a multiplier to implement the filter hardware, a large number of calculations are required, which takes up a lot of resources. However, the existing non-multiplication filter implementation scheme is limited by the filter coefficient gain, which is prone to large quantization error

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