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Resolution versus Stability

A fundamental trade-off exists in Welch's method between spectral resolution and statistical stability. As discussed in §5.4.1, we wish to maximize the block size $ M$ in order to maximize spectral resolution. On the other hand, more blocks (larger $ K$ ) gives more averaging and hence greater spectral stability. A typical default choice is $ M\approx
K\approx \sqrt{N_x}$ , where $ N_x$ denotes the number of available data samples.


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``Spectral Audio Signal Processing'', by Julius O. Smith III, W3K Publishing, 2011, ISBN 978-0-9745607-3-1.
Copyright © 2014-06-03 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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