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Power of noise signal through a matched filter (Digital Receiver)

Can anyone explain why that is? Which is the starting thought, or formula that yields to different times $t_1$ and $t_2$? The noise power $P_N(t)$ at any given time $t$ at the output of any filter (...
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RRC filter has massive impulse response

After generating the pulse, you need to scale it to give it the energy you wish. Starting from the pulse RRC, find its energy ...
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IIR filter relaxation time computation

You know that calculating the impulse response from the transfer function involves partial fraction decomposition, whether it's in $s$ or $z$. After that you simply apply the inverse $z$-transform to ...
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Is it ok to use MATLAB ''freqs" command for Digital filters?

You should use freqz to calculate frequency response of a digital filter and freqs for an analog filter. Given a transfer ...
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Is it ok to use MATLAB ''freqs" command for Digital filters?

For discrete-time filters, such as FIR and IIR filters, the appropriate Matlab function is freqz.m. You need to evaluate the frequency response on the unit circle of the complex plane; ...
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Autocorrelation and the dot product of complex signals

The autocorrelation value at zero lag is a positive real number regardless of whether the sequence is real-valued or complex-valued, except in the trivial case of the sequence being the all-zeroes ...
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