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In signal processing, a filter is a device or process that transforms a signal by selectively choosing specific frequencies and leaving others with appropriate gain or as it is.

1 vote

linear phase notch filter matlab

@omar: I don't know how you obtained your expression for the 'h' coefficients but it's wildly incorrect. Study the MATLAB documentation regarding the 'firpm()' and 'fir1()' filter design commands. E …
Richard Lyons's user avatar
2 votes

FIR filters always linear?

So called "minimum phase" FIR filters are not linear phase. … FIR filters using real-valued coefficients have linear phase if those coefficient values are exactly symmetrical. …
Richard Lyons's user avatar
2 votes

Historical notes of filter designs?

Along the line as Fat32's suggestion to consult IEEE papers, you might try to obtain a copy of "Digital Signal Processing" (IEEE Press Selected Reprint Series), Edited by: Lawrence R. Rabiner and Char …
Richard Lyons's user avatar
2 votes

linear phase and generalised linear phase filters

Yes. The time delay of real-coefficient linear-phase N-point FIR filter is (N-1)/2 samples. The time delay of complex-coefficient generalized-linear-phase N-point FIR filter is also (N-1)/2 samples. …
Richard Lyons's user avatar
2 votes

Lynn's integer filter has a linearly increasing trend

Your lowpass filter is the cascade of two 3-point moving average filters each implemented as recursive running sum filters. (It's gain at 5 Hz is -2.4 dB.) …
Richard Lyons's user avatar
4 votes

Why many DACs uses series of half band filters for interpolation instead of single one?

The reason cascaded half-band filters, for interpolation applications, should have different numbers of taps can be found at: https://www.dsprelated.com/showarticle/903.php …
Richard Lyons's user avatar
2 votes
Accepted

Exponential Moving Average Function Notation

Good Gosh! Why on Earth would you be so complicated as to use that $EMA_{\alpha}(x_{n})$ notation? Are you trying to be clever, or maybe sophisticated? You're mixing letters and variables in the same …
Richard Lyons's user avatar
-1 votes

What kind of filter would have a sawtooth frequency response?

I plugged a frequency response of $\omega$ into the inverse discrete-time Fourier transform (inverse DTFT) equation and ended up with: $$h[k] = \frac{\sin(k\omega_c)}{k^2\pi}-\frac{(\omega_c)\cos(k\om …
Richard Lyons's user avatar
1 vote

DC gain from an impulse response

Giles' answer applies to tapped delay-line digital filters. A more general answer is: The DC gain of a digital system is the sum of the system's impulse response. …
Richard Lyons's user avatar
0 votes

Use of FFT to compute frequency response

To compute the freq response of a tapped-delay line FIR filter, zero-pad your filter's coefficients with a string of zero-valued samples so that the new sequence is N samples in length (N must be an i …
Richard Lyons's user avatar
0 votes

Design one of 4 type of FIR filter by window function?

The topic your referring to goes by various names such as "FIR Filter Design Using Windows", "Windowing Method of FIR Filter Design", "Window Designed FIR Filters", etc. … a look at Section 2.2 of the following web page: http://www.mikroe.com/chapters/view/72/chapter-2-fir-filters/ …
Richard Lyons's user avatar
0 votes
Accepted

Design one of 4 type of FIR filter by window function?

Briefly, in the window design method of designing FIR filters we define our desired freq response using $N+1$ freq-domain samples. … But dead DSP pioneers plowed through the algebra to develop equations (for simple filters like lowpass, highpass, bandpass, etc.) that define our impulse response samples without needing to perform inverse …
Richard Lyons's user avatar
1 vote

Why do FIR linear interpolators have linear phase?

For tapped-delay line FIR filters, if you want to know "What is the constraint on real- and complex-valued FIR filters that guarantee linear phase behavior in the frequency domain?" …
Richard Lyons's user avatar
12 votes
Accepted

A basic question in FIR filter design using MATLAB

All digital filter frequency parameters (passband begin frequency, passband end frequency, and stopband begin frequency) are stated in terms of an input signal sequence's Fs sampling frequency. For a …
Richard Lyons's user avatar
3 votes

What does this signal filter do? (coming from finance)

We call such processes "resonators" or "bandpass filters." …
Richard Lyons's user avatar

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