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What are the effects of downsampling in frequency domain?
There are two important points to take away about downsampling’s effects in the frequency domain: Downsampling can cause aliasing. To prevent this, we need to lowpass filter BEFORE the downsampling causes any aliasing. If you have any questions, comments, etc. please post them on this page .
What’s the sampling frequency for a discrete time tone?
Play the sound for a discrete-time tone using MATLAB. The frequency of the corresponding analog signal is 440 Hz which corresponds to the A note in the American Standard pitch. The sampling frequency is 8000 Hz and the signal has a duration of 0.5 s. The MATLAB code is
Why does downsampling cause aliasing in a filter?
Since the possible aliasing is caused by the downsampling, trying to low-pass filter after the downsampling will be too late and won’t be able to get rid of the aliasing. Thus, the full process of downsampling should look like this:
Which is the best domain to represent analog signals?
Analog signals are best represented in the frequency domain.Analog signals are best represented in the frequency domain. Simple Analog Signals
What should the process of downsampling look like?
Thus, the full process of downsampling should look like this: There are two important points to take away about downsampling’s effects in the frequency domain: Downsampling can cause aliasing. To prevent this, we need to lowpass filter BEFORE the downsampling causes any aliasing.
What should be the low pass filter for downsampling?
To make sure this condition is satisfied, we should first pass the original x1[n] signal through a low-pass filter with fc = 1/(2T2) BEFORE downsampling. Since the possible aliasing is caused by the downsampling, trying to low-pass filter after the downsampling will be too late and won’t be able to get rid of the aliasing.