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#### Kral

I'm looking for an introductory article on the Hilbert transform. Anybody know of a good reference?

#### tom123

Hilbert Transform

i think you can refer any books about digital processing

#### paolone1340

##### Member level 3
Re: Hilbert Transform

Hilbert Trasform is tipically used in communication system's project and analysis, when

You want the complex envelope x_tilde(t) of an RF signal (at the frequency f0).

There is a formula who express the signal x(t) at RF in function of his complex envelope:

x(t) = Re[x_tilde(t)*exp(2*pi*f0*t)]. Well, x_tilde(t) is expressed in function of

the RF signal, by his Hilbert Transorm. In the formula is present a mathematical signal

who is called analitical signal: this is given by a "manipulation" of the x(t)'s Hilbert

Transoform.

Look at this or this

.

#### osbourne

##### Member level 2
Re: Hilbert Transform

Hi,

here are some references:

Bracewell, R. The Fourier Transform and Its Applications, McGraw-Hill, 1965.

Champeney, D. C. A Handbook of Fourier Theorems, Cambridge University Press, 1987.

Ditkin, V.A.; Prudnikov, A.P. Integral Transforms and Operational Calculus, Pergamon Press, 1965.

Kovesi, P. Image Features from Phase Congruency, Internal Report of Department of Computer Science, University of Western Australia, Nedlands, W.A. 6009, march 1995.

Oppenheim, A.V, Discrete-Time Signal Processing, Prentice Hall, E.Cliffs, 1989.

Papoulis, A. Signal Analysis, McGraw-Hill, 1977.

Papoulis, A. The Fourier Integral and Its Applications, McGraw-Hill, 1962.

Urkowitz, H. Signal Theory and Random Processes, Artech House, Inc., 1983.

Venkatesh, S.; Owens, R. On the Classification of Image Features, Pattern Recognition Letters, vol.11, n. 5, may 1990, pp. 339-349.

### Kral

Points: 2

#### suvendu

##### Full Member level 3
Re: Hilbert Transform

hilbert transform is given well in the book by BRACEWELL.this is very useful in communication
2> you can refer the text by sakrison.

#### freeinthewind

Hilbert Transform

hilbert transform is used widely in DSP field. a rea signal is transformed to complex signal through transform , then the band is the half of original.

jayu_dakhore

### jayu_dakhore

Points: 2

#### satellite

##### Full Member level 3
Re: Hilbert Transform

Oppenheim book on discrete time signal processing is available at:

eel.iust.ac.ir/Shokouhi/DSP/Books/

#### swahlah

##### Full Member level 2
Re: Hilbert Transform

but i will recommend you to read the book named
"DSP Algorithms for Programmers" because it has the implementation too.

-Best Regards

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