Questions tagged [filtering]

Filtering is a way to process an input signal so that the output signal has interesting features enhanced or unwanted features reduced.

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Understanding the Farrow Filter

I found the following diagram of a Farrow Filter online: As far as I understand the purpose of a Farrow filter is to interpolate samples at a fractional ratio. For example: we have an ADC sampling at ...
0 votes
2 answers
85 views

How do I isolate a part of this signal in time-domain in Matlab?

I want to isolate a reflection part of a signal which I've transformed from Frequency to Time-Domain (see Picture). So far, I've tried to create a Hamming-Window with the specific window-width for the ...
4 votes
1 answer
496 views

Deriving a Kalman Filter Equation for a Linear Gaussian Filtering Model with Non Zero Mean Noise

I am trying to answer an exercise question from the book Simo Sarkka - Bayesian Filtering and Smoothing. The question is: Does anyone know if there is a resource that has the solutions for this book?
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How to apply a delta-filter

I'm trying to apply delta filter to remove pre-fault conditions from my signal. It is formed by a vector (7680x1), the signal was generated at 60Hz and has 32 samples per cycle lasting 4 seconds. The ...
1 vote
2 answers
134 views

What is the best method to filter a signal where baseline and the signal of interest have overlapping frequency range?

I am reading out the movement of a motor arm using a Hall sensor and a magnet pair. The hall sensor measures the distance between the sensor and the magnet. The motor arm is being moved with a band-...
0 votes
1 answer
37 views

How does the sampling rate of a digital filter limit the sampling rate that can be used for replay of filtered signal?

I need a band-limited white noise to characterize a biological sensor that senses mechanical movement. For that, I am generating a Gaussian white noise (MATLAB Communications toolbox) of length 10 ...
0 votes
1 answer
125 views

What does a Gabor filter "filter" out?

Almost all of the searches online have returned results related to image-processing, but I am looking for a more rudimentary example with some physical intuition (eg; a high-pass filter only lets the ...
3 votes
1 answer
266 views

What's the point of differential beamforming?

I recently got into differential beamforming, in particular into the work of Benesty and Cohen. It seems to me that differential beamforming is something that just "takes place" when ...
0 votes
1 answer
80 views

Sample Use vs Sampling Frequency

I need to acquire an analog signal via an ADC and send it via a digital communication line (CAN bus) with a given frequency $f_{send}=100Hz$. If I understand correctly this means that this constraint ...
2 votes
1 answer
799 views

how to plot analog filter impulse responce and frequency responce?

I an new to signal processing, working on a UWB radar data this data has a shape of frames for which every frame (list) has 164 values, I want to apply a bandpass filter with cutoff frequency of 1hz ...
3 votes
1 answer
39 views

Specific de-trending method for damped oscillation?

Say I have a set signals consisting of damped harmonic oscillations, that I want to extract the characteristics of with the prony method. In the datasets I'm working with, it is possible for these ...
5 votes
1 answer
21k views

What is zero-phase filtering and forward-backward filtering?

I am pretty familiar with IIR and FIR filtering and I have implemented them in my several projects. However, recently i found something called zero phase filtering. I have tried to understand it but ...
5 votes
1 answer
183 views

"Tone Control" IIR filter coefficients

The documentation for Analog Device's sigmastudio shows some of the formulas behind their biquad IIR filter coefficients. The usual suspects (HP, LP, peaking, ...) as described in RBJ's cookbook are ...
3 votes
1 answer
421 views

Use of the harris-Moerder Nyquist Pulse Shaping Filter

I became aware today through fred harris' excellent presentation at the DSP Online Conference (https://www.dsponlineconference.com/) of the harris-Moerder pulse shaping filter which was published 15 ...
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2 answers
66 views

Transmitting data with QPSK using an SDR

My question assumes that I want to transmit some data using QPSK using and SDR. The SDR will be fed with IQ data and this will transmitted at a sample rate Fs and be up converted to a carrier ...
2 votes
0 answers
94 views

Implementation of an IIR filter with integer coefficients

I'm trying to figure out the implementation of IIR filters with integer coefficients, but I've run into a problem that I can't figure out. There is an excellent post on this topic, and I took it as ...
1 vote
1 answer
44 views

Filter a 1D time series taking advantage of accuracy values for every data point

I have an assignment on a time series that contains the x positions of a point in space. This series comes with another one of the same length, where every element goes from 0.0 to 1.0 and represents ...
0 votes
1 answer
83 views

How to demodulate a bit sequence that is offset-modulated with a complex exponential?

I have a discrete-time complex exponential $a[n]*(\cos(\omega*n/N) + j \sin(\omega*n/N)) + b[n]$ where $a$ is constant and $b$: $\{0,1\}$ So it is basically an offset-modulated sequence of bits and I ...
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Using python to remove Gaussian noise and a high frequency signal from a audio file

I have an audio file where people are talking, and Gaussian noise and high-frequency signals have been added to the file. My goal is to remove the noise from this file using Python. For this ...
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1 answer
45 views

Characteristics of linear systems in the time and frequency domain

Why is the output signal obtained through frequency response different from the other two. ...
1 vote
3 answers
9k views

What is the difference between the sampling frequency of signal and sampling frequency of filter

I believe that there is no connection between the sampling frequency used for converting an analogue filter to digital filter and the one used to sample a signal that the filter will be used on. But I ...
0 votes
1 answer
103 views

Filtering in time domain vs filtering in frequency domain

The signal is an impulse repsonse. I am filtering the signal using a windowed sinc filter in both frequency and time domain. I am interested in knowing the differences between the two methods and ...
0 votes
2 answers
148 views

Upsampling of a signal

A low-passed signal, bandwidth limited to 4KHz is originally sampled 10 KHz. If I want to resample it at 20 KHz, I take these steps. Are these correct? Am I missing an step? First we need to filter ...
0 votes
1 answer
154 views

ICWT filtering signal with a cut-off frequency

In ssqueezepy, by finding a certain scale is it possible to do an icwt only for the scales above (or bellow) ? For exemple if I have a double sin (with $f_1$ and $f_2$), by taking the frequency $f_c$ ...
1 vote
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134 views

How to get an impulse response of a MIMO system?

So I have data vectors from a MIMO system and I wish to see the impulse response Any idea how I can proceed with this?
1 vote
2 answers
314 views

Why does convolution give the output of a passing a signal through a filter?

I have a rudimentary understanding of Convolution, the Convolution Theorem and why the output z(t) of an LTI system can be found using the convolution of input signal x(t) and the impulse response h(t)...
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58 views

single tone -> multi bandpass filter -> incorrect output

background: Trying to filter out all other signal frequencies except -> signal whose frequency can be in multiple's of 16Hz {16,32,48.......160]. so started experimenting with a single tone [no ...
1 vote
0 answers
303 views

How to recover the LTI system step response by the known output and input signals?

Having the input signal as a step-like pulse and the output as its distorted version after passing through the system: is it possible to somehow recover the step response of the system? In the Figure ...
1 vote
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48 views

Does filtering by wavelet decomposition and reconstruction introduce a phase shift in the filtered signal?

I am removing low frequency noise from a signal using Matlab using the DWT and then reconstruction at a specific level: I am removing the approximation signal at level 10 which approximates the low ...
4 votes
1 answer
382 views

Tile Laplacian Filter in MATLAB

I want to compute the output image by first dividing the image into 8*8 blocks and applying laplace filter separately and combine them but I am not getting the correct output Here is the code: ...
1 vote
3 answers
240 views

How to estimate the local trend in a signal?

I need to remove trend from my time-series which looks like the following images. However, I want to estimate the trend before removing it. Hence directly removing it won't do it. The simple ...
0 votes
1 answer
85 views

How to find system output by its step response?

Inspired by this post, I tried to reproduce the procedure described in the answer in Python considering rectangular pulse: ...
1 vote
1 answer
118 views

What is the necessity of shifting the impulse response of a filter to the front of the time domain buffer and windowing?

I was reading the answer to this question provided by Phil Karn. In the answer, it has been said: Ensure that the impulse response of your lowpass filter is shifted to the front of your time domain ...
2 votes
1 answer
70 views

Filtering after a phase domain ADC

While researching receiver architectures for the demodulating constant envelope signals like a GFSK, I stumbled over the concept of phase domain ADCs, where after $$\boxed{\text{LNA}}{\longrightarrow}\...
1 vote
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128 views

The correct way to perform signal processing on S-parameter data

I have a question to ask you which has been bugging me as of late. I have s-parameter data with 5001 samples acquired from a vector network analyzer. I am trying to 'gate' this s parameter data, i.e. ...
3 votes
1 answer
368 views

Autocorrelation function of a filtered periodic signal

I'm having trouble with this exercise. The signal $x(t)= \cos(2\pi f_0 t)$ is sent in input to a non-linear system with input-output relationship equal to: $g(x)= 0$ if $x<0$ and $g(x)=3x$ if $ x &...
0 votes
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128 views

Is this how to show decimation in the frequency domain?

Let's say I have a discrete-time signal $y[n]$ that is passed through an Ideal Lowpass Filter (impulse response $h[n]$) to get $y_1[n]$. The filter has cutoff frequencies at $\pm \pi/N$ rad. Now this $...
0 votes
1 answer
133 views

FIR filter for flipping the phase in negative phase

I have built up a FIR filter based on least square approach. I deploy the IDFT matrix $$F_{inv}$$ in above document page 7 and the desired response for compensated is H_F, the objective is $$ min_{...
1 vote
2 answers
177 views

Correct baseline for slow sinusoidal noise signal

I acquired some noise signal (5GHz samplerate, 520 samples) data from a device and recognized that it is not gaussian distributed. There seems to be some slow sinusoidal signal underlying. I tried to ...
2 votes
1 answer
7k views

Does Higher Sampling Rate Increase SNR?

I have AM demodulated voice samples that come from a 14bit ADC that I will filter, process, and then send to a CODEC. I can choose a sample rate of 96kSPS, 64kSPS, 48kSPS, or 32kSPS at the CODEC. ...
0 votes
1 answer
126 views

Bandpass filtering EEG and getting weird distortions, parameter issue?

I am trying to bandpass filter an EEG signal, nothing fancy but it's coming out pretty distorted. EEG data is taken from forehead. Sampling rate is 250 Hz. Cutoff is 2.5 Hz & 120 Hz. Tried in both ...
0 votes
1 answer
139 views

What highpass filter is implemented in Audacity?

When I selected highpass filter effect in Audacity (an open-source audio editor), it lets me choose the cutoff frequency and the roll-off but it doesn't specify which filter type is used (IIR ...
5 votes
2 answers
326 views

Amplifier Placement in a Wireless Receiver

In the context of wireless receiver system design, what is the optimum choice of amplifier placement? Should the received signal be amplified first then filtered or should it be the other way round? ...
0 votes
2 answers
94 views

How to achieve a DC portable power source with low noise in 400 MHz frequencies

I am working on an SDR composed system that is plugged into a Raspberry Pi board powered by a 5V DC Power bank. The SDR is configured to measure a signal around 400 MHz. The noise floor measured by ...
0 votes
1 answer
111 views

What does frequency filtering actually practically mean?

I've got an electronics circuit which was filtering between a Passive HPF stage (1uF and 330K) and an Active LPF stage (4.7uF and 10K). As you can see it was filtering between 0.48Hz and 3.38Hz, and ...
8 votes
2 answers
6k views

Extended Kalman Filter (EKF) for Non Linear (Coordinate Conversion - Polar to Cartesian) Measurements and Linear Predictions

I'm new to Kalman filtering and state estimation and I'd like some guidance on EKFs. Currently, I'm trying to use a linear prediction model coupled with nonlinear measurements to estimate the state ...
14 votes
5 answers
26k views

How Does a Convolution of an Image Can Be Expressed as a Matrix Multiplication (Matrix Form)?

I know this question may not be very relevant to programming, but if I don't understand the theory behind image processing I'll never be able to implement something in practice. If I got it right ...
0 votes
2 answers
79 views

Method for splitting time-sampled signal into two signals

Update: the yellow area in the graph below can be ignored, it shows power produced. I'm only interested in the blue line, and how to separate power consumed by the heating system from the rest. I have ...
2 votes
1 answer
147 views

Selective Discrete Time Derivative Filter

I have hit a problem which could be probably solved via discrete time derivative filter able to calculate the derivative of two specific harmonics of the input signal (namely frequencies: $f_1 = 100\,\...
1 vote
1 answer
76 views

What's the best way of modeling 3d target motion with only 2d angle observations?

A maneuvering target is flying in 3d cartesian space, but a sensor (passive infrared or mic array, etc.) can only observe it in polar coordinate with 2d orientations (azimuth, elevation). For ...

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