User talk:Bensonli

I use MATLAB 6.5.1,choose 361 samples. import data ,and then input >> plot (data(:,1),data(:,2)) >> fdatool. From the transfer function of the second-order low-pass filter

numberator: [1 0 0 0 0 0 -2 0 0 0 0 0 1] denominator:[1 -2 1 0 0 0 0 0 0 0 0 0 0] Magnitude Response(dB)

Phase Response

pole /zero plot

Figure 1. shows how the high-pass filter is impemented by subtracting a first-order low-pass filter from an all-pass filter from an all-pass filter with delay. The low -pass filter is an integer -coefficient filter with the transfer function

The high-pass filter is obtained by dividing the output of the low-pass filter by its dc gain and then subtracting from the original signal. The transfer function of the high-pass filter is

Figure 1. the high-pass filter is implemented by subtracting a low-pass filter from an allpass filter with delay

numberator: [-1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 32 -32 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1] denominator:[32 -32 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]

Magnitude Response(dB)

Phase Response

pole /zero plot

group delay

this figure show

Then amplitude response of  bandpass filter composed of low-pass and high-pass filters

Then afrer some calculations,

we got the signal R.