Let H{?} denote the (ideal) operation of Hilbert transformation; that is, Prove the following properties of the
Question:
Let H{?} denote the (ideal) operation of Hilbert transformation; that is,
Prove the following properties of the ideal Hilbert transform operator.
Transcribed Image Text:
Hx[n}} = x[k]h[n - k], [[u]x}H k=-o0 where h[n] is 2 sin (rn/2) h[n] = 0, n+0. n = 0. (a) H{H{x[n]]] = -x(n] x[n]H{x[n]) = 0 (b) n=-00 (c) H{x[n]+y[n]} = H(x[n]}*y[n] = x[n]+H{y[n]}, wherex[n]and y[n] are any sequences. %3D
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Related Book For
Discrete Time Signal Processing
ISBN: 978-0137549207
2nd Edition
Authors: Alan V. Oppenheim, Rolan W. Schafer
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