# Journal of Time Series Analysis

## Deconvolution of fractional brownian motion

### Journal Article

We show that a fractional Brownian motion with H′∈(0,1) can be represented as an explicit transformation of a fractional Brownian motion with index H ∈(0,1). In particular, when H′=½, we obtain a deconvolution formula (or autoregressive representation) for fractional Brownian motion. We work both in the time domain' and the spectral domain' and contrast the advantages of one domain over the other.

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