Question: 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];

Consider a finite-length sequence x[n] such that x[n] = 0 for n L. Define cxx[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?

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

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

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

where M

Cxfm] - fn fn+ m . n=- %3D Define 1 tx/ Nikm,

Cxfm] - fn fn+ m . n=- %3D Define 1 tx/ Nikm, m = 0, 1..... N - 1. xx(m] = %3D

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