Low-pass

Difference between the average operation and the application of the equivalent LPF

Difference between the average operation and the application of the equivalent LPF
  1. What is the difference between moving average and low-pass filter?
  2. Which is an application of an LPF?
  3. What is the difference between ideal low-pass filter and practical low-pass filter?
  4. Why does averaging behave as a low-pass filter?

What is the difference between moving average and low-pass filter?

A moving average filter has coefficients that are all equal: h[n]=1N,n=0,1,…,N−1, whereas in general, a low-pass filter (LPF), can have different values for each tap. This allows you to control the frequency selectivity of the filter.

Which is an application of an LPF?

Low-pass filters have applications such as anti-aliasing, reconstruction, and speech processing, and can be used in audio amplifiers, equalizers, and speakers. Low-pass filters can also be used in conjunction with high-pass filters to form bandpass, band-stop, and notch filters.

What is the difference between ideal low-pass filter and practical low-pass filter?

An ideal filter is considered to have a specified, nonzero magnitude for one or more bands of frequencies and is considered to have zero magnitude for one or more bands of frequencies. On the other hand, practical implementation constraints require that a filter be causal.

Why does averaging behave as a low-pass filter?

When we say that a signal has high frequency components we mean that the values change rapidly with time. So x had rapid changes in amplitude, while y does not have that much of rapid changes in values. This is the intuition behind why averaging is equivalent to low-pass filtering (disallowing high frequencies).

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