Increasing frequency rate with factor LLLExpander is xi[n]=xc(nT/L)=x[n/L]x_i[n] = x_c(nT/L) = x[n/L]xi[n]=xc(nT/L)=x[n/L] (else is 0 except nnn is integer)Xe(ejω)=X(ejωL)X_e(e^{j\omega}) = X(e^{j\omega L})Xe(ejω)=X(ejωL)You may need LFW which means Sinc interpolation that fill 0 data part TF of Boxcar Signal