Monday 25 April 2016


 Overlap add and overlap save method

overlap add and overlap save method is the traditional name for an efficient way to evaluate the
discrete convolution between a very long signal x[n] and a finite impulse response  (FIR) filter h[n].
y[n] = x[n] * h[n] \ \stackrel{\mathrm{def}}{=} \ \sum_{m=-\infty}^{\infty} h[m] \cdot x[n-m] = \sum_{m=1}^{M} h[m] \cdot x[n-m],\,




where h[m]=0 for m outside the region [1, M].

We divided x(n) into small sequences of equal lengths and convoluted with h(n). Depending on which method is used, decomposed y(n) for both OAM and OSM were calculated.
 Though FFT yields  faster results it cannot be used in practice as it requires the entire length of the input signal which isn't possible as it would introduce large delay and memory requirements of the system will also increase. Hence, OAM and OSM are preferred.

https://drive.google.com/drive/folders/0BwJUrR8ne7NkUk1ReW9JV3RHQW8

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