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Derive the following realtions: a) D F T ( x ( k − l ) ) {\displaystyle DFT(x(k-l))\!} b) D F T ( e j 2 π l k / N x ( k ) {\displaystyle DFT(e^{j2\pi lk/N}x(k)\!} c) ∑ k = 0 N − 1 x ( k ) y ( k ) ∗ = c ∑ k = 0 N − 1 X ( n ) Y ( n ) ∗ {\displaystyle \sum \limits _{k=0}^{N-1}x(k)y(k)^{*}=c\sum \limits _{k=0}^{N-1}X(n)Y(n)^{*}}
Mark
b) 
c) 