The Discrete Hilbert Transform for Non-Periodic Signals

TL;DR

This paper analyzes the guard band size needed for the discrete Hilbert transform applied to non-periodic signals, demonstrating that a guard band equal to the message duration suffices for various signals, aiding data hiding and security.

Contribution

It establishes that a guard band equal to message duration is sufficient for non-periodic discrete Hilbert transform, supporting its use in data hiding and security.

Findings

Guard band equal to message duration is sufficient for various signals.

The result applies to both analog and digital data.

Supports the application of discrete Hilbert transform in security.

Abstract

This note investigates the size of the guard band for non-periodic discrete Hilbert transform, which has recently been proposed for data hiding and security applications. It is shown that a guard band equal to the duration of the message is sufficient for a variety of analog signals and is, therefore, likely to be adequate for discrete or digital data.