Suppose I have a continuous signal $x(t)$, which was sampled using sampling function $s(t)$ whose sampling rate is $T_s$.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 $t = nT_s$ ,
So if I sampled with sampling rate Ts/2, I supposed to have $Y_1 = S_1(t) * x(t)$ and $Y_2 = S_2(t)* x(t)$, with $Y_1, Y_2$ and $S_1(t), S_2(t)$ 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?