Let H{·} denote the (ideal) operation of Hilbert transformation; that is,
Prove the following properties of the ideal Hilbert transform operator.
(a) H{H{x[n]}} = −x[n]
(c) H{x[n]∗y[n]} = H{x[n]}∗y[n] = x[n]∗H{y[n]}, where x[n] and y[n] are any sequences
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