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Calculating the main lobe width of Dirichlet kernel

There's no analytical solution for the general case. However, it's quite straightforward to compute that value using a few iterations of Newton's method. I've done that and the plot below shows the ...
Matt L.'s user avatar
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Analysis of impulse response in downsampling problem

b 1): hint: $\sin(x) = \frac{1}{2j}(e^{jx} - e^{-jx})$ c 1): hint: do it in the $\mathcal{Z}$ domain: $U(z) = \frac{1}{2} (X(z) + X(z)z^{-1} \cdots)$
Jdip's user avatar
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Practical Implications of DFT Eigenvector Formulations

The unitary scaling convention for the DFT is identical in scaling with its inverse and preserves energy across the transform or inverse transform: $$ \begin{align} \mathcal{DFT}\Big\{x[n]\Big\} & ...
robert bristow-johnson's user avatar
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Relationship between signal rate, data rate, minimum bandwidth

The value of the case factor (c) is not limited to specific numbers; it can take a wide range of values depending on the design and operational requirements of the communication system. The specific ...
aizaz's user avatar
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jumps in spectrogram of frequency ramping

As you can (or should) clearly see, your signal is not correctly generated. You want a linear sweep with duration $T = 1\,\texttt{ms}$ but you're defining the duration to be ...
Jdip's user avatar
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