How can extract the 2 polyphase components of a signal after doing Fractional sampling

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Zeyad Qasem 2018-7-21

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https://ww2.mathworks.cn/matlabcentral/answers/411414-how-can-extract-the-2-polyphase-components-of-a-signal-after-doing-fractional-sampling

编辑： Zeyad Qasem 2018-7-21

Hello

Suppose I have a continuous signal x(t), which was sampled using sampling function s(t) whose sampling rate is Ts.How can I sample the continuous signal by Ts/2 instead of Ts in order to get two fractional sampled signals.

for example y(t) = s(t) * x(t) with t = nTs , so if I sampled with sampling rate Ts/2, I supposed to have Y1 = S1(t) * x(t) and Y2 = S2(t)* x(t), with Y1, Y2 and S1(t), S2(t) are the polyphase components of y(t) and s(t) respectively.

 Is that right : 
close all, clear all
Fx = 20; Tx=1/Fx; % Original sampling frequency in Hz
tx = 0:Tx:1; % Time vector tx
x = 0.9*sin(2*pi*tx); % Input sequence
y = resample(x,2,1); % Re-sampling
ty = (0:(length(y)-1))*1*Tx/2; % New time vector ty