用窗函数设计fir滤波器（Design FIR filter with window function）.docVIP

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用窗函数设计fir滤波器（Design FIR filter with window function）.doc

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用窗函数设计fir滤波器（Design FIR filter with window function） Design FIR filter with window function FIR filter design methods are mainly three kinds: window function method, frequency sampling method, Chebyshev and other ripple approximation method. In this experiment, the main idea is to take the first approach. We have to design a filter, with the design of the IIR filter as before, we must first know some indicators about the filter. In designing FIR filters with window functions, the required parameters are passband, band edge frequency, stopband attenuation, and passband attenuation. Since FIR is a finite impulse response filter, the unit impulse response of our usual ideal filter is infinitely long, so we need to truncate it through the window, and then design the filter for it H. First, the window method design steps may be divided into the following steps: 1, choose the right window according to the attenuation of stop band: The minimum stopband attenuation in the transition band delta w Rectangular window 20.9dB 0.92 PI /M Hanning window 43.9dB 3.11 PI /M Hamming window 54.5dB 3.32 PI /M Blackman window 75.3dB 5.56 PI /M Different windows have different properties: different window functions, the size of the leakage is different, the frequency resolution ability is also different. Signal truncation produces energy leakage, while the spectrum produced by the FFT algorithm to calculate the fence effect, the two kinds of errors from the principle are not eliminated, but we can be suppressed by influencing the choice of different window function on them. The rectangular window has the advantages of narrow main lobe, large sidelobe, highest frequency identification accuracy, lowest amplitude recognition accuracy, wide Blackman lobe, small sidelobe, lowest frequency identification accuracy, but highest amplitude recognition accuracy. 2. The sequence obtained by the window function obtains a sequence of the coefficients of the filter transmission function via firl or fir2