# All Questions

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### First-order allpass filter coefficient calculation

Given the first-order IIR allpass filter depicted below, I would like to calculate the coefficient $a_1$ such that a phase shift of $\frac{\pi}{2}$ occurs at a desired frequency $f_\mathrm{c}$ (the ...
9 views

### HSI formula inconsistency in Gonzalez & Woods

I'm confused about how the book Digital Image Processing by Gonzalez & Woods explains HSI model. It includes a double cone-shaped space for the model (like the figure below) and says every color ...
1 vote
13 views

### Early-Late TED in SDR

I am reading about Early Late TED from "Software Defined Radio using Matlab & Simulink and the RTL-SDR". This is from the book: Now I'm trying to understand the 11.7 formula in a 'for ...
69 views

### Why is the CT inverse Fourier Transform also an integral?

Intuitively it seems that to get a function back that was integrated, you would take the derivative. Instead, with the Fourier Transform we take an area under a curve of a modified function, and to ...
17 views

### How can i do a horizontal compression of my frequency spectrum for pitch modification

I am working on a dsp project inorder to make a male voice more feminin and vice versa and yes I know there are multiple layers for this but i am focusing on pitch now and later I will move to ...
13 views

### How to impose power constraint on an encoder's output while training a deep NN?

A deep encoder which takes in a 4 bit input gives out an 8-dimensional vector. If I want the power of this 8-D vector constrained to be 1, then I should multiply all the elements by A/B? Where A is ...
1 vote
16 views

### implement gradient descent with sparsification algorithm

I am trying to implement the algorithm in this paper for finding a sparse vector x that minimizes the square error $\lVert y − \Phi x\rVert_2^2$ where $\Phi$ need to satisfy the restricted isometry ...
1 vote
37 views

### Is this FIR filter considered symmetric?

My goal is to generate linear phase FIR filters. Currently, I am generating an array of frequency response magnitudes for the positive frequencies and then I mirror those with the complex conjugate. ...
22 views

### What is wrong with this FM synth implementation?

I'm trying to get an FM synth to work, the synth uses wavetable oscillators, I am adapting the formula for FM synthesis: $$FM(t) = A \sin(\omega t + B \sin(\omega_m t))dt$$ To use wavetable ...
1 vote
47 views

### Power Spectral Density and Total Power Calculation for Signal

I am currently working on analyzing a signal with the autocorrelation function given by: $$R(\tau) = 100 \cos( 10000\pi\tau) (Λ(2000\tau))^2$$ I need assistance in plotting the power spectral density ...
1 vote
40 views

### Spectrum and Fourier transform of a sine wave

Take for example: $x(t)=A\sin(2\pi f_0t)$. The Fourier transform of this signal is $\hat{s(f)}=\frac{A}{2i}(\delta(f-f_0)-\delta(f+f_0))$. If we want to represent the spectrum of the signal we would ...
95 views

### Audio EQ Cookbook Stability

I'm implementing 6 cascaded biquad peaking filters to make a 6-band EQ. In the system I want to calculate the coefficients on the fly (it's just gain thats changing, center frequency and BW aren't). I ...
1 vote
38 views

### Help with Implementation of Communication System and Understanding Frequency Response in Python

Professor gave us task to implement communication system as in picture Communication system is made for the transmission of 32 frequency-multiplexed analog signals through a communication channel. ...
1 vote
39 views

### Resolution after Oversampling, Filtering-Decimation

The ADC I am working on has a resolution of 24 bits and a Signal-to-Noise and Distortion (SINAD) of 108.4 dB. Assuming only quantization noise is present, the Signal-to-Noise Ratio (SNR) of the ADC ...
30 views

### What is the denominator of the transfer function when PI-regulator is connected?

A system is described by the transfer function $$G_p(s)=\frac{s+2}{(s+1)(s+3)}.$$ A PI-regulator is connected to the system making it a closed loop system. So the transfer function for the PI-...
41 views

### Calculate Total Harmonic Distortion (THD) from FFT Plot

I am new to FFT and currently studying it for harmonic analysis. I have a set of data of inrush currents from the results of simulation involving equipment energization. The data has $N = 40,001$ ...
39 views

### Why is my FM synth getting out of phase?

I'm trying to create a software FM synth following the formula for frequency modulation: $$y(t) = A \cdot f_c(t + I \cdot f_m(t))$$ Where $A$ is amplitude, $f_c$ the carrier function, $f_m$ is the ...
1 vote
30 views

### output of CIC filter is scaled by what frequency?

Suppose I have a CIC with a down sampling rate $R$, differential delay $M$, and number of sections $N$. My sample rate is $F_s$. If I pass a signal through my CIC I will down sample by $R$. If I plot ...
22 views

### EIRP for JWST HGA

I am attempting to compute the EIRP for transmissions from the James Webb Space Telescope using the high-gain antenna. I found the following reference... https://www.ioag.org/Public%20Documents/2019-...
38 views

### Separating 'heart sound' from 'lung sound'

I have audio files recorded from electronic stethoscope and in those files I want to filter out heart sounds and retain just the breathing sounds. How can I do this using just the signal processing ...
62 views

### Why not overlap save for inverse stft

Since STFT uses overlapped sections of the input signals and compute DFT, it resembles overlap-save method used for block convolution, instead the overlap-add method for block convolution uses non-...
23 views

### Z Transform and Difference Equation [closed]

Given that $$H(Z) = 4z+2/(4z^2+2)*(2z-1).$$ Find the difference equation of g(n) such that g(n) and h(n) are two cascading filter such that output is same as input. Moreover find the frequency ...
18 views

### Looking for paper about applications of using phase screen to model space laser communication

A phase screen is a concept used in wave optics to model the statistical properties of wavefront aberrations caused by a medium. In the context of light propagation through atmospheric turbulence, for ...
2k views

### Why is the time domain low-pass filter the "sinc" shape?

Consider: I'm looking at low-pass filters, and I see that the time domain representation of an "ideal" filter resembles the shape above whereas the frequency domain is a box. I also get the ...
1 vote
15 views

### Confused About Relationship Between Number of Points and Solving Wiener Filter Coefficients in Time Domain vs Fourier Domain

I'm interested in computing M, FIR filter taps / coefficients using a Wiener filter approach with known signal and noise timestreams. I know of two ways to compute the coefficients: one in the Fourier ...
64 views

### low shelving filter frequency response diagnosis

I am building a second order modified biquad filter based on an implementation by Will Pirkle in "designing audio effect plugins in c++". However when I look at my implementation's ...
1 vote
52 views

### What can be the pole zero diagram [closed]

Does the pole zero plot for $$H(z)=(1-z^{-1})^3(1+z^{-1})^3$$ have 6 poles at origin and 3 zeroes at 1? Just answer yes or no, not your homework question knowledge
319 views

### Modelling MEMS accelerometer noise

I am trying to compare two MEMS accelerometers in terms of their noise for ground motion monitoring applications. I would like to take some "clean" data (recorded by good quality ...
13 views

### Computing Channel Power from file containing RMS measurements from tri-axial spectrum analyzer

I have some files from a spectrum analyzer in RMS mode equipped with a tri-axial antenna. I am supposed to compute the channel power evolution for two distinct LTE channels. I have files containing ...
41 views

### Discrete Fourier Transform of the Gaussian

Cross-posted from here I encountered the following question in a Digital Image Processing examination: Find the 2D DFT of $\frac{1}{2 \pi \sigma^2} e^{-\frac{(x - x_0)^2 + (y - y_0)^2}{2 \sigma^2}}$ ...
48 views

### padding zeros at the center: where to place the -ve frequencies

There are several thread regarding zero padding at the center and padding at the end. I have a spectrum and want to interpolate it. DFT of real sequence: $\left[X_0, X_1, X_2,\dots,-X_2, -X_1\right]$ ...
27 views

### Is there any way of calculating the portion of signal lost as we keep on reducing the passband edge frequency of a band-pass filter?

Any kind of references would be appreciable.
73 views

37 views

### Welch method implementation not smooth

I have been trying to recreate the welch method implemented in scipy.signal by hand but my results don't look close enough in my opinion. How come the scipy.signal.welch method is displaying much ...
1 vote
18 views

### please help me solve the question which proving X[N-k] is the complex conjugate of X[k] [closed]

Show for the DFT that if all x[n] are real, then X[N - k] is the complex conjugate of X[k] for k > 0. (i.e. if X[k] is a + bi, then X[N - k] is a - bi)
40 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
61 views

### Which filter is suitable for reducing noise in feature detection?

I have a feature detection algorithm that is called FAST - Feature Accelerated Segmented Test. It's a very fast algorithm for finding feature points, e.g "corners" inside an image. Here is ...
1 vote