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 y1 = y(1:2:end); % First representation of signal x y2 = y(2:2:end); % Second representation of signal x
If so, .. and if y is the first polyphase component of input signal, so where is the second component, or how can I get it?