Design method of any amplitude-frequency response FIR (Finite Impulse Response) filter based on LMS (Least Mean Square)
A technology of amplitude-frequency response and design method, applied in the direction of adaptive network, impedance network, digital technology network, etc., can solve the problems of difficult engineering application and high algorithm complexity, and achieve easy engineering implementation, simple implementation and fast speed Effect
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[0043] The conventional LMS algorithm performs adaptive filtering for signals. The present invention combines arbitrary amplitude-frequency response filter design with the LMS algorithm, and utilizes the LMS adaptive theory to iteratively obtain stable filter coefficients.
[0044] Different from the conventional LMS algorithm flow, the input signal is not a stationary random signal, but the frequency factor in the filter transfer function, and the expected signal is the required filter amplitude-frequency response. Since the frequency factor is limited, that is, the input length of the algorithm is limited, the present invention adopts a cyclic iteration method to finally obtain stable filter coefficients, so that its amplitude-frequency response is infinitely close to the expected amplitude-frequency response.
[0045] The design method provided by the invention is simple, fast, and easy to implement in engineering. It can be used in the design of band-pass filters and low-pa...
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