For a larger valued sequence, we need to decompose the input signal as it is not possible to implement the data together at the same time. Hence, it is necessary to decompose the input signal into multiple finite signals to perform various operations.
Thus for FFT, faster algorithms are used viz. Overlap add Method and Overlap Save Method.
In OAM, overlapping occurs but the overlapped portion is added to get the required output sequence. Whereas, in OSM overlapping occurs too but the overlapped portion is discarded. As we use convolution to find the output, decomposing helps in finding a more accurate output.
Also, OAM & OSM are equally fast methods to find the output of the FFT based input.
Well written!
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ReplyDeleteOAM uses Linear Convolution and OSM uses Circular Convolution
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DeleteOSM is mostly used for real-time signals
ReplyDeleteIndeed
DeleteOSM is preferred as it uses circular convolution. However, in practical implemenatations,the reduced signal length must be selected so as to obtain good efficiency.
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