Consider a finite-length sequence x[n] such that x[n] = 0 for n L. Define c_xx[m] to be the aperiodic autocorrelation function of x[n]; i.e.,

(a) Determine the minimum value of N that can be used for the DFT if we require that?

c_xx[m] = c_xx[m],? ? ? ? ? ?0 ? m ? L ? 1,

(b) Determine the minimum value of N that can be used for the DFT if we require that?

c_xx[m] = c_xx[m],? ? ? ? ? ?0 ? m ? M ? 1,

where M

Transcribed Image Text:

Cxfm] -Σ fn fn+ m . n=- %3D Define ν1 ΝΣιχεtx/ Nikm, m = 0, 1..... N - 1. Čxx(m] = %3D