In matrix form,

$\left[y_{p}(n)\right]_{4 \times 1}=\left[x_{p}(n)\right]_{4 \times 4}\left[h_{p}(n)\right]_{4 \times 1}$

$\left[\begin{array}{c}{y_{p}(0)} \\ {y_{p}(1)} \\ {y_{p}(2)} \\ {y_{p}(3)}\end{array}\right]=\left[\begin{array}{cccc}{x_{p}(0)} & {x_{p}(3)} & {x_{p}(2)} & {x_{p}(1)} \\ {x_{p}(1)} & {x_{p}(0)} & {x_{p}(3)} & {x_{p}(2)} \\ {x_{p}(2)} & {x_{p}(1)} & {x_{p}(0)} & {x_{p}(3)} \\ {x_{p}(3)} & {x_{p}(2)} & {x_{p}(1)} & {x_{p}(0)}\end{array}\right] \times\left[\begin{array}{c}{h_{p}(0)} \\ {h_{p}(1)} …