## Top new questions this week:

### Developing Lead Compensator to Decrease Settle Time

This is a follow up to this question. I've approximated the transfer function for a system to be H = zpk([0.012 -1.05 18],[-0.22 -0.22 -45 -1000],10000);. My goal ...

matlab filter-design transfer-function control-systems pid

### Wave Digital Filter Bridge-T Resonator implementation, gives expected cutoff frequency but incorrect gain and roll-off

Trying to implement the WDF in Fig 5(a) of this publication. The response of the ideal op-amp implementation is given by the black curve in Fig 7: Here is the plot I get when trying to implement the ...

filters python digital matrix wave

### Digital demodulator (SDR) for receiving legacy analog modulated wave

I understand that in SDR, after the ADC the signal processing is fundamentally based on I/Q modulated waves where any discrete value that can be transmitted corresponds to a symbol which is ...

digital-communications sdr polar

### Proof of Bedrosian's theorem

I was looking for a straightforward proof for Bedrosian's theorem which says the Hilbert transform of the baseband signal times the passband signal is the original baseband signal times the Hilbert ...

fourier-transform hilbert-transform proof

### Frequency-domain deconvolution: "Direct" filtering vs "Wiener" filtering

Can someone help with clarifying the difference between two approaches to frequency domain "deconvolution: For the frequency domain problem: We want to find a filter $F(\omega)$ which will ...

frequency-domain deconvolution least-squares

### calculate or decompose a Fourier transform signal amplitudes with unknown weights on sources

migrated from math-se... I am trying to calculate , or approximate the solution of following Fourier-sine transform problem that can be expressed as a contributions of periodic sources $f_i(x)$ and ...

fourier-transform deconvolution decomposition approximation svd

### How to calculate Local Spatial Variance of an image?

For those who work often on image processing, I'm facing an algorithm of Non-Uniformity Correction (NUC) that requires the calculation of a parameter called "Local Spatial Variance". I can't ...

image-processing matlab statistics background-subtraction
 answered by Laurent Duval 1 vote

## Greatest hits from previous weeks:

### What Are Linear and Circular Convolution?

I have some basic understanding of signals and convolution. As far as I know it shows the similarities of two signals. Could I get some explanation in plain English of: what are the linear and ...

convolution linear-systems

### Difference Between Correlation and Convolution in the Context of Image Processing

Could you please clearly explain what is the difference between correlation and convolution that is done by a filter on an image? I mean in terms of signal processing definition I know that ...

image-processing convolution image correlation

### Apply Low pass Butterworth filter in Python

I want to use a low pass Butterworth filter on my data but on applying the filter I don't get the intended signal. Here is the dummy code: Signal A: ...

fft filters python lowpass-filter

### How to understand Kalman gain intuitively?

The Kalman filter algorithm works as follows Initialize $\hat{\textbf{x}}_{0|0}$ and $\textbf{P}_{0|0}$. At each iteration $k=1,\dots,n$ Predict Predicted (a priori) state estimate ...

kalman-filters

### Gaussian Blur - Standard Deviation, Radius and Kernel Size

I've implemented a gaussian blur fragment shader in GLSL. I understand the main concepts behind all of it: convolution, separation of x and y using linearity, multiple passes to increase radius... I ...

image-processing gaussian blur

### Why is the FFT "mirrored"?

If you do an FFT plot of a simple signal, like: t = 0:0.01:1 ; N = max(size(t)); x = 1 + sin( 2*pi*t ) ; y = abs( fft( x ) ) ; stem( N*t, y ) 1Hz sinusoid + DC ...

dft

### Peak Signal to Noise Ratio (PSNR) in Python for an Image

How do I calculate the maximum signal to noise ratio (PSNR) in Python? Is there any library that can calculate PSNR for Image?

image-processing noise python

## Can you answer these questions?

### what is the FFT logic in calculating far field defraction matlab implemetation

there is an expression shown bellow that we need to plot in 2D grid plot as shown bellow. X and Y are 2D matrices going from -0.5 to 0.5 the Code uses an FFT function FFT takes as input the func_in ...

fft

### Application of the spherical Radon transform property in tomography

Let function $f$ be even and continuous on the unit sphere $S^n$. Let $R$-be a spherical Radon transform. There is a known property: $R(f^n)=f$ whenever $f$=constant. What would this property mean in ...

signal-analysis fourier-transform continuous-signals signal-detection transform
 asked by User 12345 1 vote

### Question about a demonstration of the autocorrelation theorem

I’m stuck on this demonstration. It says: If $x'$ is held constant, $dx=dy$ How can $x’$ be constant? Shouldn't $x’$ be a variable?

autocorrelation
 asked by Luca Mirtanini 1 vote
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