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Edit distance on real signals

`dist = edr(x,y,tol)`

```
[dist,ix,iy]
= edr(x,y,tol)
```

`[___] = edr(x,y,maxsamp)`

`[___] = edr(___,metric)`

`edr(___)`

returns
the Edit Distance on Real Signals between sequences `dist`

= edr(`x`

,`y`

,`tol`

)`x`

and `y`

. `edr`

returns
the minimum number of elements that must be removed from `x`

, `y`

,
or both `x`

and `y`

, so that
the sum of Euclidean distances between the remaining signal elements
lies within the specified tolerance, `tol`

.

`[___] = edr(___,`

specifies
the distance metric to use in addition to any of the input arguments
in previous syntaxes. `metric`

)`metric`

can be one of `'euclidean'`

, `'absolute'`

, `'squared'`

,
or `'symmkl'`

.

`edr(___)`

without output arguments
plots the original and aligned signals.

If the signals are real vectors, then the function displays the two original signals on a subplot and the aligned signals in a subplot below the first one.

If the signals are complex vectors, then the function displays the original and aligned signals in three-dimensional plots.

If the signals are real matrices, then the function displays the original and aligned signals as images.

If the signals are complex matrices, then the real and imaginary portions of the signals appear in the top and bottom half of each image.

[1] Chen, Lei, M. Tamer Özsu, and Vincent Oria. “Robust
and Fast Similarity Search for Moving Object Trajectories.” *Proceedings
of 24th ACM International Conference on Management of Data (SIGMOD
‘05)*. 2005, pp. 491–502.

[2] Sakoe, Hiroaki, and Seibi Chiba. “Dynamic Programming
Algorithm Optimization for Spoken Word Recognition.” *IEEE ^{®} Transactions
on Acoustics, Speech, and Signal Processing*. Vol. ASSP-26,
No. 1, 1978, pp. 43–49.

[3] Paliwal, K. K., Anant Agarwal, and Sarvajit
S. Sinha. “A Modification over Sakoe and Chiba’s Dynamic
Time Warping Algorithm for Isolated Word Recognition.” *Signal
Processing*. Vol. 4, 1982, pp. 329–333.

`alignsignals`

| `dtw`

| `finddelay`

| `findsignal`

| `xcorr`